Transverse instability of a plane front of fast impact ionization waves
Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the a...
Ausführliche Beschreibung
Autor*in: |
Kyuregyan, A. S. [verfasserIn] |
---|
Format: |
Artikel |
---|---|
Sprache: |
Englisch |
Erschienen: |
2012 |
---|
Schlagwörter: |
---|
Anmerkung: |
© Pleiades Publishing, Ltd. 2012 |
---|
Übergeordnetes Werk: |
Enthalten in: Journal of experimental and theoretical physics - SP MAIK Nauka/Interperiodica, 1993, 114(2012), 5 vom: Mai, Seite 857-866 |
---|---|
Übergeordnetes Werk: |
volume:114 ; year:2012 ; number:5 ; month:05 ; pages:857-866 |
Links: |
---|
DOI / URN: |
10.1134/S1063776112030168 |
---|
Katalog-ID: |
OLC2043164503 |
---|
LEADER | 01000caa a22002652 4500 | ||
---|---|---|---|
001 | OLC2043164503 | ||
003 | DE-627 | ||
005 | 20230504103935.0 | ||
007 | tu | ||
008 | 200820s2012 xx ||||| 00| ||eng c | ||
024 | 7 | |a 10.1134/S1063776112030168 |2 doi | |
035 | |a (DE-627)OLC2043164503 | ||
035 | |a (DE-He213)S1063776112030168-p | ||
040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
041 | |a eng | ||
082 | 0 | 4 | |a 530 |q VZ |
084 | |a 33.00 |2 bkl | ||
100 | 1 | |a Kyuregyan, A. S. |e verfasserin |4 aut | |
245 | 1 | 0 | |a Transverse instability of a plane front of fast impact ionization waves |
264 | 1 | |c 2012 | |
336 | |a Text |b txt |2 rdacontent | ||
337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
338 | |a Band |b nc |2 rdacarrier | ||
500 | |a © Pleiades Publishing, Ltd. 2012 | ||
520 | |a Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the avalanche multiplication of the uniform background of electrons and holes whose concentration $ σ_{b} $ ahead of the front is high enough for the continuum approximation to be applicable. The problem of the calculation of the growth rate s of a small harmonic perturbation with wavenumber k is reduced to the eigenvalue problem for a specific homogeneous Volterra equation of the second kind containing the sum of double and triple integrals of an unknown eigenfunction. This problem has been solved by the method of successive approximations. It has been shown that the function s(k) for small k values increases monotonically in agreement with the analytical theory reported in Thermal Engineering 58 (13), 1119 (2011), reaches a maximum sM at k = kM, then decreases, and becomes negative at k > k01. This behavior of the function s(k) for short-wavelength perturbations is due to a decrease in the distortion of the field owing to a finite thickness of the space charge region of the front and “smearing” of perturbation of concentrations owing to the transverse transport of charge carriers. The similarity laws for perturbations with k ≳ kM have been established: at fixed $ σ_{b} $ values and the maximum field strength on the front E0M, the growth rate s depends only on the ratio k/N and the boundary wavenumber k01 ∝ N. The parameters sM, kM, and k01, which determine the perturbation growth dynamics and the upper boundary of the instability region for impact ionization waves, have been presented as functions of E0M. These dependences indicate that the model of a plane impact ionization wave is insufficient for describing the operation of avalanche voltage sharpers and that fronts of fast streamers in the continuum approximation should be stable with respect to transverse perturbations in agreement with the previously reported numerical simulation results. The results have been confirmed by the numerical simulation of the evolution of small harmonic perturbations of the steady-state plane impact ionization wave. | ||
650 | 4 | |a Plane Front | |
650 | 4 | |a Space Charge Region | |
650 | 4 | |a Continuum Approximation | |
650 | 4 | |a Space Charge Density | |
650 | 4 | |a Soft Matter Phys | |
773 | 0 | 8 | |i Enthalten in |t Journal of experimental and theoretical physics |d SP MAIK Nauka/Interperiodica, 1993 |g 114(2012), 5 vom: Mai, Seite 857-866 |w (DE-627)131188410 |w (DE-600)1146369-7 |w (DE-576)032622368 |x 1063-7761 |7 nnns |
773 | 1 | 8 | |g volume:114 |g year:2012 |g number:5 |g month:05 |g pages:857-866 |
856 | 4 | 1 | |u https://doi.org/10.1134/S1063776112030168 |z lizenzpflichtig |3 Volltext |
912 | |a GBV_USEFLAG_A | ||
912 | |a SYSFLAG_A | ||
912 | |a GBV_OLC | ||
912 | |a SSG-OLC-PHY | ||
912 | |a GBV_ILN_22 | ||
912 | |a GBV_ILN_70 | ||
912 | |a GBV_ILN_2185 | ||
936 | b | k | |a 33.00 |q VZ |
951 | |a AR | ||
952 | |d 114 |j 2012 |e 5 |c 05 |h 857-866 |
author_variant |
a s k as ask |
---|---|
matchkey_str |
article:10637761:2012----::rnvrentbltoalnfotfatma |
hierarchy_sort_str |
2012 |
bklnumber |
33.00 |
publishDate |
2012 |
allfields |
10.1134/S1063776112030168 doi (DE-627)OLC2043164503 (DE-He213)S1063776112030168-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Kyuregyan, A. S. verfasserin aut Transverse instability of a plane front of fast impact ionization waves 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2012 Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the avalanche multiplication of the uniform background of electrons and holes whose concentration $ σ_{b} $ ahead of the front is high enough for the continuum approximation to be applicable. The problem of the calculation of the growth rate s of a small harmonic perturbation with wavenumber k is reduced to the eigenvalue problem for a specific homogeneous Volterra equation of the second kind containing the sum of double and triple integrals of an unknown eigenfunction. This problem has been solved by the method of successive approximations. It has been shown that the function s(k) for small k values increases monotonically in agreement with the analytical theory reported in Thermal Engineering 58 (13), 1119 (2011), reaches a maximum sM at k = kM, then decreases, and becomes negative at k > k01. This behavior of the function s(k) for short-wavelength perturbations is due to a decrease in the distortion of the field owing to a finite thickness of the space charge region of the front and “smearing” of perturbation of concentrations owing to the transverse transport of charge carriers. The similarity laws for perturbations with k ≳ kM have been established: at fixed $ σ_{b} $ values and the maximum field strength on the front E0M, the growth rate s depends only on the ratio k/N and the boundary wavenumber k01 ∝ N. The parameters sM, kM, and k01, which determine the perturbation growth dynamics and the upper boundary of the instability region for impact ionization waves, have been presented as functions of E0M. These dependences indicate that the model of a plane impact ionization wave is insufficient for describing the operation of avalanche voltage sharpers and that fronts of fast streamers in the continuum approximation should be stable with respect to transverse perturbations in agreement with the previously reported numerical simulation results. The results have been confirmed by the numerical simulation of the evolution of small harmonic perturbations of the steady-state plane impact ionization wave. Plane Front Space Charge Region Continuum Approximation Space Charge Density Soft Matter Phys Enthalten in Journal of experimental and theoretical physics SP MAIK Nauka/Interperiodica, 1993 114(2012), 5 vom: Mai, Seite 857-866 (DE-627)131188410 (DE-600)1146369-7 (DE-576)032622368 1063-7761 nnns volume:114 year:2012 number:5 month:05 pages:857-866 https://doi.org/10.1134/S1063776112030168 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_70 GBV_ILN_2185 33.00 VZ AR 114 2012 5 05 857-866 |
spelling |
10.1134/S1063776112030168 doi (DE-627)OLC2043164503 (DE-He213)S1063776112030168-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Kyuregyan, A. S. verfasserin aut Transverse instability of a plane front of fast impact ionization waves 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2012 Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the avalanche multiplication of the uniform background of electrons and holes whose concentration $ σ_{b} $ ahead of the front is high enough for the continuum approximation to be applicable. The problem of the calculation of the growth rate s of a small harmonic perturbation with wavenumber k is reduced to the eigenvalue problem for a specific homogeneous Volterra equation of the second kind containing the sum of double and triple integrals of an unknown eigenfunction. This problem has been solved by the method of successive approximations. It has been shown that the function s(k) for small k values increases monotonically in agreement with the analytical theory reported in Thermal Engineering 58 (13), 1119 (2011), reaches a maximum sM at k = kM, then decreases, and becomes negative at k > k01. This behavior of the function s(k) for short-wavelength perturbations is due to a decrease in the distortion of the field owing to a finite thickness of the space charge region of the front and “smearing” of perturbation of concentrations owing to the transverse transport of charge carriers. The similarity laws for perturbations with k ≳ kM have been established: at fixed $ σ_{b} $ values and the maximum field strength on the front E0M, the growth rate s depends only on the ratio k/N and the boundary wavenumber k01 ∝ N. The parameters sM, kM, and k01, which determine the perturbation growth dynamics and the upper boundary of the instability region for impact ionization waves, have been presented as functions of E0M. These dependences indicate that the model of a plane impact ionization wave is insufficient for describing the operation of avalanche voltage sharpers and that fronts of fast streamers in the continuum approximation should be stable with respect to transverse perturbations in agreement with the previously reported numerical simulation results. The results have been confirmed by the numerical simulation of the evolution of small harmonic perturbations of the steady-state plane impact ionization wave. Plane Front Space Charge Region Continuum Approximation Space Charge Density Soft Matter Phys Enthalten in Journal of experimental and theoretical physics SP MAIK Nauka/Interperiodica, 1993 114(2012), 5 vom: Mai, Seite 857-866 (DE-627)131188410 (DE-600)1146369-7 (DE-576)032622368 1063-7761 nnns volume:114 year:2012 number:5 month:05 pages:857-866 https://doi.org/10.1134/S1063776112030168 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_70 GBV_ILN_2185 33.00 VZ AR 114 2012 5 05 857-866 |
allfields_unstemmed |
10.1134/S1063776112030168 doi (DE-627)OLC2043164503 (DE-He213)S1063776112030168-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Kyuregyan, A. S. verfasserin aut Transverse instability of a plane front of fast impact ionization waves 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2012 Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the avalanche multiplication of the uniform background of electrons and holes whose concentration $ σ_{b} $ ahead of the front is high enough for the continuum approximation to be applicable. The problem of the calculation of the growth rate s of a small harmonic perturbation with wavenumber k is reduced to the eigenvalue problem for a specific homogeneous Volterra equation of the second kind containing the sum of double and triple integrals of an unknown eigenfunction. This problem has been solved by the method of successive approximations. It has been shown that the function s(k) for small k values increases monotonically in agreement with the analytical theory reported in Thermal Engineering 58 (13), 1119 (2011), reaches a maximum sM at k = kM, then decreases, and becomes negative at k > k01. This behavior of the function s(k) for short-wavelength perturbations is due to a decrease in the distortion of the field owing to a finite thickness of the space charge region of the front and “smearing” of perturbation of concentrations owing to the transverse transport of charge carriers. The similarity laws for perturbations with k ≳ kM have been established: at fixed $ σ_{b} $ values and the maximum field strength on the front E0M, the growth rate s depends only on the ratio k/N and the boundary wavenumber k01 ∝ N. The parameters sM, kM, and k01, which determine the perturbation growth dynamics and the upper boundary of the instability region for impact ionization waves, have been presented as functions of E0M. These dependences indicate that the model of a plane impact ionization wave is insufficient for describing the operation of avalanche voltage sharpers and that fronts of fast streamers in the continuum approximation should be stable with respect to transverse perturbations in agreement with the previously reported numerical simulation results. The results have been confirmed by the numerical simulation of the evolution of small harmonic perturbations of the steady-state plane impact ionization wave. Plane Front Space Charge Region Continuum Approximation Space Charge Density Soft Matter Phys Enthalten in Journal of experimental and theoretical physics SP MAIK Nauka/Interperiodica, 1993 114(2012), 5 vom: Mai, Seite 857-866 (DE-627)131188410 (DE-600)1146369-7 (DE-576)032622368 1063-7761 nnns volume:114 year:2012 number:5 month:05 pages:857-866 https://doi.org/10.1134/S1063776112030168 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_70 GBV_ILN_2185 33.00 VZ AR 114 2012 5 05 857-866 |
allfieldsGer |
10.1134/S1063776112030168 doi (DE-627)OLC2043164503 (DE-He213)S1063776112030168-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Kyuregyan, A. S. verfasserin aut Transverse instability of a plane front of fast impact ionization waves 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2012 Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the avalanche multiplication of the uniform background of electrons and holes whose concentration $ σ_{b} $ ahead of the front is high enough for the continuum approximation to be applicable. The problem of the calculation of the growth rate s of a small harmonic perturbation with wavenumber k is reduced to the eigenvalue problem for a specific homogeneous Volterra equation of the second kind containing the sum of double and triple integrals of an unknown eigenfunction. This problem has been solved by the method of successive approximations. It has been shown that the function s(k) for small k values increases monotonically in agreement with the analytical theory reported in Thermal Engineering 58 (13), 1119 (2011), reaches a maximum sM at k = kM, then decreases, and becomes negative at k > k01. This behavior of the function s(k) for short-wavelength perturbations is due to a decrease in the distortion of the field owing to a finite thickness of the space charge region of the front and “smearing” of perturbation of concentrations owing to the transverse transport of charge carriers. The similarity laws for perturbations with k ≳ kM have been established: at fixed $ σ_{b} $ values and the maximum field strength on the front E0M, the growth rate s depends only on the ratio k/N and the boundary wavenumber k01 ∝ N. The parameters sM, kM, and k01, which determine the perturbation growth dynamics and the upper boundary of the instability region for impact ionization waves, have been presented as functions of E0M. These dependences indicate that the model of a plane impact ionization wave is insufficient for describing the operation of avalanche voltage sharpers and that fronts of fast streamers in the continuum approximation should be stable with respect to transverse perturbations in agreement with the previously reported numerical simulation results. The results have been confirmed by the numerical simulation of the evolution of small harmonic perturbations of the steady-state plane impact ionization wave. Plane Front Space Charge Region Continuum Approximation Space Charge Density Soft Matter Phys Enthalten in Journal of experimental and theoretical physics SP MAIK Nauka/Interperiodica, 1993 114(2012), 5 vom: Mai, Seite 857-866 (DE-627)131188410 (DE-600)1146369-7 (DE-576)032622368 1063-7761 nnns volume:114 year:2012 number:5 month:05 pages:857-866 https://doi.org/10.1134/S1063776112030168 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_70 GBV_ILN_2185 33.00 VZ AR 114 2012 5 05 857-866 |
allfieldsSound |
10.1134/S1063776112030168 doi (DE-627)OLC2043164503 (DE-He213)S1063776112030168-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Kyuregyan, A. S. verfasserin aut Transverse instability of a plane front of fast impact ionization waves 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2012 Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the avalanche multiplication of the uniform background of electrons and holes whose concentration $ σ_{b} $ ahead of the front is high enough for the continuum approximation to be applicable. The problem of the calculation of the growth rate s of a small harmonic perturbation with wavenumber k is reduced to the eigenvalue problem for a specific homogeneous Volterra equation of the second kind containing the sum of double and triple integrals of an unknown eigenfunction. This problem has been solved by the method of successive approximations. It has been shown that the function s(k) for small k values increases monotonically in agreement with the analytical theory reported in Thermal Engineering 58 (13), 1119 (2011), reaches a maximum sM at k = kM, then decreases, and becomes negative at k > k01. This behavior of the function s(k) for short-wavelength perturbations is due to a decrease in the distortion of the field owing to a finite thickness of the space charge region of the front and “smearing” of perturbation of concentrations owing to the transverse transport of charge carriers. The similarity laws for perturbations with k ≳ kM have been established: at fixed $ σ_{b} $ values and the maximum field strength on the front E0M, the growth rate s depends only on the ratio k/N and the boundary wavenumber k01 ∝ N. The parameters sM, kM, and k01, which determine the perturbation growth dynamics and the upper boundary of the instability region for impact ionization waves, have been presented as functions of E0M. These dependences indicate that the model of a plane impact ionization wave is insufficient for describing the operation of avalanche voltage sharpers and that fronts of fast streamers in the continuum approximation should be stable with respect to transverse perturbations in agreement with the previously reported numerical simulation results. The results have been confirmed by the numerical simulation of the evolution of small harmonic perturbations of the steady-state plane impact ionization wave. Plane Front Space Charge Region Continuum Approximation Space Charge Density Soft Matter Phys Enthalten in Journal of experimental and theoretical physics SP MAIK Nauka/Interperiodica, 1993 114(2012), 5 vom: Mai, Seite 857-866 (DE-627)131188410 (DE-600)1146369-7 (DE-576)032622368 1063-7761 nnns volume:114 year:2012 number:5 month:05 pages:857-866 https://doi.org/10.1134/S1063776112030168 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_70 GBV_ILN_2185 33.00 VZ AR 114 2012 5 05 857-866 |
language |
English |
source |
Enthalten in Journal of experimental and theoretical physics 114(2012), 5 vom: Mai, Seite 857-866 volume:114 year:2012 number:5 month:05 pages:857-866 |
sourceStr |
Enthalten in Journal of experimental and theoretical physics 114(2012), 5 vom: Mai, Seite 857-866 volume:114 year:2012 number:5 month:05 pages:857-866 |
format_phy_str_mv |
Article |
institution |
findex.gbv.de |
topic_facet |
Plane Front Space Charge Region Continuum Approximation Space Charge Density Soft Matter Phys |
dewey-raw |
530 |
isfreeaccess_bool |
false |
container_title |
Journal of experimental and theoretical physics |
authorswithroles_txt_mv |
Kyuregyan, A. S. @@aut@@ |
publishDateDaySort_date |
2012-05-01T00:00:00Z |
hierarchy_top_id |
131188410 |
dewey-sort |
3530 |
id |
OLC2043164503 |
language_de |
englisch |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2043164503</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230504103935.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2012 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1134/S1063776112030168</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2043164503</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)S1063776112030168-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">33.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kyuregyan, A. S.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Transverse instability of a plane front of fast impact ionization waves</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2012</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Pleiades Publishing, Ltd. 2012</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the avalanche multiplication of the uniform background of electrons and holes whose concentration $ σ_{b} $ ahead of the front is high enough for the continuum approximation to be applicable. The problem of the calculation of the growth rate s of a small harmonic perturbation with wavenumber k is reduced to the eigenvalue problem for a specific homogeneous Volterra equation of the second kind containing the sum of double and triple integrals of an unknown eigenfunction. This problem has been solved by the method of successive approximations. It has been shown that the function s(k) for small k values increases monotonically in agreement with the analytical theory reported in Thermal Engineering 58 (13), 1119 (2011), reaches a maximum sM at k = kM, then decreases, and becomes negative at k > k01. This behavior of the function s(k) for short-wavelength perturbations is due to a decrease in the distortion of the field owing to a finite thickness of the space charge region of the front and “smearing” of perturbation of concentrations owing to the transverse transport of charge carriers. The similarity laws for perturbations with k ≳ kM have been established: at fixed $ σ_{b} $ values and the maximum field strength on the front E0M, the growth rate s depends only on the ratio k/N and the boundary wavenumber k01 ∝ N. The parameters sM, kM, and k01, which determine the perturbation growth dynamics and the upper boundary of the instability region for impact ionization waves, have been presented as functions of E0M. These dependences indicate that the model of a plane impact ionization wave is insufficient for describing the operation of avalanche voltage sharpers and that fronts of fast streamers in the continuum approximation should be stable with respect to transverse perturbations in agreement with the previously reported numerical simulation results. The results have been confirmed by the numerical simulation of the evolution of small harmonic perturbations of the steady-state plane impact ionization wave.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Plane Front</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Space Charge Region</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Continuum Approximation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Space Charge Density</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Soft Matter Phys</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of experimental and theoretical physics</subfield><subfield code="d">SP MAIK Nauka/Interperiodica, 1993</subfield><subfield code="g">114(2012), 5 vom: Mai, Seite 857-866</subfield><subfield code="w">(DE-627)131188410</subfield><subfield code="w">(DE-600)1146369-7</subfield><subfield code="w">(DE-576)032622368</subfield><subfield code="x">1063-7761</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:114</subfield><subfield code="g">year:2012</subfield><subfield code="g">number:5</subfield><subfield code="g">month:05</subfield><subfield code="g">pages:857-866</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1134/S1063776112030168</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2185</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">33.00</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">114</subfield><subfield code="j">2012</subfield><subfield code="e">5</subfield><subfield code="c">05</subfield><subfield code="h">857-866</subfield></datafield></record></collection>
|
author |
Kyuregyan, A. S. |
spellingShingle |
Kyuregyan, A. S. ddc 530 bkl 33.00 misc Plane Front misc Space Charge Region misc Continuum Approximation misc Space Charge Density misc Soft Matter Phys Transverse instability of a plane front of fast impact ionization waves |
authorStr |
Kyuregyan, A. S. |
ppnlink_with_tag_str_mv |
@@773@@(DE-627)131188410 |
format |
Article |
dewey-ones |
530 - Physics |
delete_txt_mv |
keep |
author_role |
aut |
collection |
OLC |
remote_str |
false |
illustrated |
Not Illustrated |
issn |
1063-7761 |
topic_title |
530 VZ 33.00 bkl Transverse instability of a plane front of fast impact ionization waves Plane Front Space Charge Region Continuum Approximation Space Charge Density Soft Matter Phys |
topic |
ddc 530 bkl 33.00 misc Plane Front misc Space Charge Region misc Continuum Approximation misc Space Charge Density misc Soft Matter Phys |
topic_unstemmed |
ddc 530 bkl 33.00 misc Plane Front misc Space Charge Region misc Continuum Approximation misc Space Charge Density misc Soft Matter Phys |
topic_browse |
ddc 530 bkl 33.00 misc Plane Front misc Space Charge Region misc Continuum Approximation misc Space Charge Density misc Soft Matter Phys |
format_facet |
Aufsätze Gedruckte Aufsätze |
format_main_str_mv |
Text Zeitschrift/Artikel |
carriertype_str_mv |
nc |
hierarchy_parent_title |
Journal of experimental and theoretical physics |
hierarchy_parent_id |
131188410 |
dewey-tens |
530 - Physics |
hierarchy_top_title |
Journal of experimental and theoretical physics |
isfreeaccess_txt |
false |
familylinks_str_mv |
(DE-627)131188410 (DE-600)1146369-7 (DE-576)032622368 |
title |
Transverse instability of a plane front of fast impact ionization waves |
ctrlnum |
(DE-627)OLC2043164503 (DE-He213)S1063776112030168-p |
title_full |
Transverse instability of a plane front of fast impact ionization waves |
author_sort |
Kyuregyan, A. S. |
journal |
Journal of experimental and theoretical physics |
journalStr |
Journal of experimental and theoretical physics |
lang_code |
eng |
isOA_bool |
false |
dewey-hundreds |
500 - Science |
recordtype |
marc |
publishDateSort |
2012 |
contenttype_str_mv |
txt |
container_start_page |
857 |
author_browse |
Kyuregyan, A. S. |
container_volume |
114 |
class |
530 VZ 33.00 bkl |
format_se |
Aufsätze |
author-letter |
Kyuregyan, A. S. |
doi_str_mv |
10.1134/S1063776112030168 |
dewey-full |
530 |
title_sort |
transverse instability of a plane front of fast impact ionization waves |
title_auth |
Transverse instability of a plane front of fast impact ionization waves |
abstract |
Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the avalanche multiplication of the uniform background of electrons and holes whose concentration $ σ_{b} $ ahead of the front is high enough for the continuum approximation to be applicable. The problem of the calculation of the growth rate s of a small harmonic perturbation with wavenumber k is reduced to the eigenvalue problem for a specific homogeneous Volterra equation of the second kind containing the sum of double and triple integrals of an unknown eigenfunction. This problem has been solved by the method of successive approximations. It has been shown that the function s(k) for small k values increases monotonically in agreement with the analytical theory reported in Thermal Engineering 58 (13), 1119 (2011), reaches a maximum sM at k = kM, then decreases, and becomes negative at k > k01. This behavior of the function s(k) for short-wavelength perturbations is due to a decrease in the distortion of the field owing to a finite thickness of the space charge region of the front and “smearing” of perturbation of concentrations owing to the transverse transport of charge carriers. The similarity laws for perturbations with k ≳ kM have been established: at fixed $ σ_{b} $ values and the maximum field strength on the front E0M, the growth rate s depends only on the ratio k/N and the boundary wavenumber k01 ∝ N. The parameters sM, kM, and k01, which determine the perturbation growth dynamics and the upper boundary of the instability region for impact ionization waves, have been presented as functions of E0M. These dependences indicate that the model of a plane impact ionization wave is insufficient for describing the operation of avalanche voltage sharpers and that fronts of fast streamers in the continuum approximation should be stable with respect to transverse perturbations in agreement with the previously reported numerical simulation results. The results have been confirmed by the numerical simulation of the evolution of small harmonic perturbations of the steady-state plane impact ionization wave. © Pleiades Publishing, Ltd. 2012 |
abstractGer |
Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the avalanche multiplication of the uniform background of electrons and holes whose concentration $ σ_{b} $ ahead of the front is high enough for the continuum approximation to be applicable. The problem of the calculation of the growth rate s of a small harmonic perturbation with wavenumber k is reduced to the eigenvalue problem for a specific homogeneous Volterra equation of the second kind containing the sum of double and triple integrals of an unknown eigenfunction. This problem has been solved by the method of successive approximations. It has been shown that the function s(k) for small k values increases monotonically in agreement with the analytical theory reported in Thermal Engineering 58 (13), 1119 (2011), reaches a maximum sM at k = kM, then decreases, and becomes negative at k > k01. This behavior of the function s(k) for short-wavelength perturbations is due to a decrease in the distortion of the field owing to a finite thickness of the space charge region of the front and “smearing” of perturbation of concentrations owing to the transverse transport of charge carriers. The similarity laws for perturbations with k ≳ kM have been established: at fixed $ σ_{b} $ values and the maximum field strength on the front E0M, the growth rate s depends only on the ratio k/N and the boundary wavenumber k01 ∝ N. The parameters sM, kM, and k01, which determine the perturbation growth dynamics and the upper boundary of the instability region for impact ionization waves, have been presented as functions of E0M. These dependences indicate that the model of a plane impact ionization wave is insufficient for describing the operation of avalanche voltage sharpers and that fronts of fast streamers in the continuum approximation should be stable with respect to transverse perturbations in agreement with the previously reported numerical simulation results. The results have been confirmed by the numerical simulation of the evolution of small harmonic perturbations of the steady-state plane impact ionization wave. © Pleiades Publishing, Ltd. 2012 |
abstract_unstemmed |
Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the avalanche multiplication of the uniform background of electrons and holes whose concentration $ σ_{b} $ ahead of the front is high enough for the continuum approximation to be applicable. The problem of the calculation of the growth rate s of a small harmonic perturbation with wavenumber k is reduced to the eigenvalue problem for a specific homogeneous Volterra equation of the second kind containing the sum of double and triple integrals of an unknown eigenfunction. This problem has been solved by the method of successive approximations. It has been shown that the function s(k) for small k values increases monotonically in agreement with the analytical theory reported in Thermal Engineering 58 (13), 1119 (2011), reaches a maximum sM at k = kM, then decreases, and becomes negative at k > k01. This behavior of the function s(k) for short-wavelength perturbations is due to a decrease in the distortion of the field owing to a finite thickness of the space charge region of the front and “smearing” of perturbation of concentrations owing to the transverse transport of charge carriers. The similarity laws for perturbations with k ≳ kM have been established: at fixed $ σ_{b} $ values and the maximum field strength on the front E0M, the growth rate s depends only on the ratio k/N and the boundary wavenumber k01 ∝ N. The parameters sM, kM, and k01, which determine the perturbation growth dynamics and the upper boundary of the instability region for impact ionization waves, have been presented as functions of E0M. These dependences indicate that the model of a plane impact ionization wave is insufficient for describing the operation of avalanche voltage sharpers and that fronts of fast streamers in the continuum approximation should be stable with respect to transverse perturbations in agreement with the previously reported numerical simulation results. The results have been confirmed by the numerical simulation of the evolution of small harmonic perturbations of the steady-state plane impact ionization wave. © Pleiades Publishing, Ltd. 2012 |
collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_70 GBV_ILN_2185 |
container_issue |
5 |
title_short |
Transverse instability of a plane front of fast impact ionization waves |
url |
https://doi.org/10.1134/S1063776112030168 |
remote_bool |
false |
ppnlink |
131188410 |
mediatype_str_mv |
n |
isOA_txt |
false |
hochschulschrift_bool |
false |
doi_str |
10.1134/S1063776112030168 |
up_date |
2024-07-03T18:19:41.732Z |
_version_ |
1803582996987510784 |
fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2043164503</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230504103935.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2012 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1134/S1063776112030168</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2043164503</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)S1063776112030168-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">33.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kyuregyan, A. S.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Transverse instability of a plane front of fast impact ionization waves</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2012</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Pleiades Publishing, Ltd. 2012</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The transverse instability of a plane front of fast impact ionization waves in p+-n-n+ semiconductor structures with a finite concentration of donors N in the n layer has been theoretically analyzed. It is assumed that the high velocity u of impact ionization waves is ensured owing to the avalanche multiplication of the uniform background of electrons and holes whose concentration $ σ_{b} $ ahead of the front is high enough for the continuum approximation to be applicable. The problem of the calculation of the growth rate s of a small harmonic perturbation with wavenumber k is reduced to the eigenvalue problem for a specific homogeneous Volterra equation of the second kind containing the sum of double and triple integrals of an unknown eigenfunction. This problem has been solved by the method of successive approximations. It has been shown that the function s(k) for small k values increases monotonically in agreement with the analytical theory reported in Thermal Engineering 58 (13), 1119 (2011), reaches a maximum sM at k = kM, then decreases, and becomes negative at k > k01. This behavior of the function s(k) for short-wavelength perturbations is due to a decrease in the distortion of the field owing to a finite thickness of the space charge region of the front and “smearing” of perturbation of concentrations owing to the transverse transport of charge carriers. The similarity laws for perturbations with k ≳ kM have been established: at fixed $ σ_{b} $ values and the maximum field strength on the front E0M, the growth rate s depends only on the ratio k/N and the boundary wavenumber k01 ∝ N. The parameters sM, kM, and k01, which determine the perturbation growth dynamics and the upper boundary of the instability region for impact ionization waves, have been presented as functions of E0M. These dependences indicate that the model of a plane impact ionization wave is insufficient for describing the operation of avalanche voltage sharpers and that fronts of fast streamers in the continuum approximation should be stable with respect to transverse perturbations in agreement with the previously reported numerical simulation results. The results have been confirmed by the numerical simulation of the evolution of small harmonic perturbations of the steady-state plane impact ionization wave.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Plane Front</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Space Charge Region</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Continuum Approximation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Space Charge Density</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Soft Matter Phys</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of experimental and theoretical physics</subfield><subfield code="d">SP MAIK Nauka/Interperiodica, 1993</subfield><subfield code="g">114(2012), 5 vom: Mai, Seite 857-866</subfield><subfield code="w">(DE-627)131188410</subfield><subfield code="w">(DE-600)1146369-7</subfield><subfield code="w">(DE-576)032622368</subfield><subfield code="x">1063-7761</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:114</subfield><subfield code="g">year:2012</subfield><subfield code="g">number:5</subfield><subfield code="g">month:05</subfield><subfield code="g">pages:857-866</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1134/S1063776112030168</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2185</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">33.00</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">114</subfield><subfield code="j">2012</subfield><subfield code="e">5</subfield><subfield code="c">05</subfield><subfield code="h">857-866</subfield></datafield></record></collection>
|
score |
7.3990917 |