On thermodynamic consistency of a Scharfetter–Gummel scheme based on a modified thermal voltage for drift-diffusion equations with diffusion enhancement
Abstract Driven by applications like organic semiconductors there is an increased interest in numerical simulations based on drift-diffusion models with arbitrary statistical distribution functions. This requires numerical schemes that preserve qualitative properties of the solutions, such as positi...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Koprucki, Thomas [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Optical and quantum electronics - Springer US, 1975, 47(2014), 6 vom: 30. Okt., Seite 1327-1332 |
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| Übergeordnetes Werk: |
volume:47 ; year:2014 ; number:6 ; day:30 ; month:10 ; pages:1327-1332 |
| Links: |
|---|
| DOI / URN: |
10.1007/s11082-014-0050-9 |
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| Katalog-ID: |
OLC2081994380 |
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| 520 | |a Abstract Driven by applications like organic semiconductors there is an increased interest in numerical simulations based on drift-diffusion models with arbitrary statistical distribution functions. This requires numerical schemes that preserve qualitative properties of the solutions, such as positivity of densities, dissipativity and consistency with thermodynamic equilibrium. An extension of the Scharfetter–Gummel scheme guaranteeing consistency with thermodynamic equilibrium is studied. It is derived by replacing the thermal voltage with an averaged diffusion enhancement for which we provide a new explicit formula. This approach avoids solving the costly local nonlinear equations defining the current for generalized Scharfetter–Gummel schemes. | ||
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10.1007/s11082-014-0050-9 doi (DE-627)OLC2081994380 (DE-He213)s11082-014-0050-9-p DE-627 ger DE-627 rakwb eng 500 620 VZ Koprucki, Thomas verfasserin aut On thermodynamic consistency of a Scharfetter–Gummel scheme based on a modified thermal voltage for drift-diffusion equations with diffusion enhancement 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2014 Abstract Driven by applications like organic semiconductors there is an increased interest in numerical simulations based on drift-diffusion models with arbitrary statistical distribution functions. This requires numerical schemes that preserve qualitative properties of the solutions, such as positivity of densities, dissipativity and consistency with thermodynamic equilibrium. An extension of the Scharfetter–Gummel scheme guaranteeing consistency with thermodynamic equilibrium is studied. It is derived by replacing the thermal voltage with an averaged diffusion enhancement for which we provide a new explicit formula. This approach avoids solving the costly local nonlinear equations defining the current for generalized Scharfetter–Gummel schemes. Scharfetter–Gummel scheme Thermodynamic consistency Rotundo, Nella aut Farrell, Patricio aut Doan, Duy Hai aut Fuhrmann, Jürgen aut Enthalten in Optical and quantum electronics Springer US, 1975 47(2014), 6 vom: 30. Okt., Seite 1327-1332 (DE-627)129419540 (DE-600)189950-8 (DE-576)014796139 0306-8919 nnns volume:47 year:2014 number:6 day:30 month:10 pages:1327-1332 https://doi.org/10.1007/s11082-014-0050-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_70 GBV_ILN_150 AR 47 2014 6 30 10 1327-1332 |
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10.1007/s11082-014-0050-9 doi (DE-627)OLC2081994380 (DE-He213)s11082-014-0050-9-p DE-627 ger DE-627 rakwb eng 500 620 VZ Koprucki, Thomas verfasserin aut On thermodynamic consistency of a Scharfetter–Gummel scheme based on a modified thermal voltage for drift-diffusion equations with diffusion enhancement 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2014 Abstract Driven by applications like organic semiconductors there is an increased interest in numerical simulations based on drift-diffusion models with arbitrary statistical distribution functions. This requires numerical schemes that preserve qualitative properties of the solutions, such as positivity of densities, dissipativity and consistency with thermodynamic equilibrium. An extension of the Scharfetter–Gummel scheme guaranteeing consistency with thermodynamic equilibrium is studied. It is derived by replacing the thermal voltage with an averaged diffusion enhancement for which we provide a new explicit formula. This approach avoids solving the costly local nonlinear equations defining the current for generalized Scharfetter–Gummel schemes. Scharfetter–Gummel scheme Thermodynamic consistency Rotundo, Nella aut Farrell, Patricio aut Doan, Duy Hai aut Fuhrmann, Jürgen aut Enthalten in Optical and quantum electronics Springer US, 1975 47(2014), 6 vom: 30. Okt., Seite 1327-1332 (DE-627)129419540 (DE-600)189950-8 (DE-576)014796139 0306-8919 nnns volume:47 year:2014 number:6 day:30 month:10 pages:1327-1332 https://doi.org/10.1007/s11082-014-0050-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_70 GBV_ILN_150 AR 47 2014 6 30 10 1327-1332 |
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10.1007/s11082-014-0050-9 doi (DE-627)OLC2081994380 (DE-He213)s11082-014-0050-9-p DE-627 ger DE-627 rakwb eng 500 620 VZ Koprucki, Thomas verfasserin aut On thermodynamic consistency of a Scharfetter–Gummel scheme based on a modified thermal voltage for drift-diffusion equations with diffusion enhancement 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2014 Abstract Driven by applications like organic semiconductors there is an increased interest in numerical simulations based on drift-diffusion models with arbitrary statistical distribution functions. This requires numerical schemes that preserve qualitative properties of the solutions, such as positivity of densities, dissipativity and consistency with thermodynamic equilibrium. An extension of the Scharfetter–Gummel scheme guaranteeing consistency with thermodynamic equilibrium is studied. It is derived by replacing the thermal voltage with an averaged diffusion enhancement for which we provide a new explicit formula. This approach avoids solving the costly local nonlinear equations defining the current for generalized Scharfetter–Gummel schemes. Scharfetter–Gummel scheme Thermodynamic consistency Rotundo, Nella aut Farrell, Patricio aut Doan, Duy Hai aut Fuhrmann, Jürgen aut Enthalten in Optical and quantum electronics Springer US, 1975 47(2014), 6 vom: 30. Okt., Seite 1327-1332 (DE-627)129419540 (DE-600)189950-8 (DE-576)014796139 0306-8919 nnns volume:47 year:2014 number:6 day:30 month:10 pages:1327-1332 https://doi.org/10.1007/s11082-014-0050-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_70 GBV_ILN_150 AR 47 2014 6 30 10 1327-1332 |
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10.1007/s11082-014-0050-9 doi (DE-627)OLC2081994380 (DE-He213)s11082-014-0050-9-p DE-627 ger DE-627 rakwb eng 500 620 VZ Koprucki, Thomas verfasserin aut On thermodynamic consistency of a Scharfetter–Gummel scheme based on a modified thermal voltage for drift-diffusion equations with diffusion enhancement 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2014 Abstract Driven by applications like organic semiconductors there is an increased interest in numerical simulations based on drift-diffusion models with arbitrary statistical distribution functions. This requires numerical schemes that preserve qualitative properties of the solutions, such as positivity of densities, dissipativity and consistency with thermodynamic equilibrium. An extension of the Scharfetter–Gummel scheme guaranteeing consistency with thermodynamic equilibrium is studied. It is derived by replacing the thermal voltage with an averaged diffusion enhancement for which we provide a new explicit formula. This approach avoids solving the costly local nonlinear equations defining the current for generalized Scharfetter–Gummel schemes. Scharfetter–Gummel scheme Thermodynamic consistency Rotundo, Nella aut Farrell, Patricio aut Doan, Duy Hai aut Fuhrmann, Jürgen aut Enthalten in Optical and quantum electronics Springer US, 1975 47(2014), 6 vom: 30. Okt., Seite 1327-1332 (DE-627)129419540 (DE-600)189950-8 (DE-576)014796139 0306-8919 nnns volume:47 year:2014 number:6 day:30 month:10 pages:1327-1332 https://doi.org/10.1007/s11082-014-0050-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_70 GBV_ILN_150 AR 47 2014 6 30 10 1327-1332 |
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Abstract Driven by applications like organic semiconductors there is an increased interest in numerical simulations based on drift-diffusion models with arbitrary statistical distribution functions. This requires numerical schemes that preserve qualitative properties of the solutions, such as positivity of densities, dissipativity and consistency with thermodynamic equilibrium. An extension of the Scharfetter–Gummel scheme guaranteeing consistency with thermodynamic equilibrium is studied. It is derived by replacing the thermal voltage with an averaged diffusion enhancement for which we provide a new explicit formula. This approach avoids solving the costly local nonlinear equations defining the current for generalized Scharfetter–Gummel schemes. © Springer Science+Business Media New York 2014 |
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Abstract Driven by applications like organic semiconductors there is an increased interest in numerical simulations based on drift-diffusion models with arbitrary statistical distribution functions. This requires numerical schemes that preserve qualitative properties of the solutions, such as positivity of densities, dissipativity and consistency with thermodynamic equilibrium. An extension of the Scharfetter–Gummel scheme guaranteeing consistency with thermodynamic equilibrium is studied. It is derived by replacing the thermal voltage with an averaged diffusion enhancement for which we provide a new explicit formula. This approach avoids solving the costly local nonlinear equations defining the current for generalized Scharfetter–Gummel schemes. © Springer Science+Business Media New York 2014 |
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Abstract Driven by applications like organic semiconductors there is an increased interest in numerical simulations based on drift-diffusion models with arbitrary statistical distribution functions. This requires numerical schemes that preserve qualitative properties of the solutions, such as positivity of densities, dissipativity and consistency with thermodynamic equilibrium. An extension of the Scharfetter–Gummel scheme guaranteeing consistency with thermodynamic equilibrium is studied. It is derived by replacing the thermal voltage with an averaged diffusion enhancement for which we provide a new explicit formula. This approach avoids solving the costly local nonlinear equations defining the current for generalized Scharfetter–Gummel schemes. © Springer Science+Business Media New York 2014 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2081994380</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503233912.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230228s2014 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11082-014-0050-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2081994380</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11082-014-0050-9-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">500</subfield><subfield code="a">620</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Koprucki, Thomas</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On thermodynamic consistency of a Scharfetter–Gummel scheme based on a modified thermal voltage for drift-diffusion equations with diffusion enhancement</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</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">© Springer Science+Business Media New York 2014</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Driven by applications like organic semiconductors there is an increased interest in numerical simulations based on drift-diffusion models with arbitrary statistical distribution functions. 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