A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures
Abstract We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are cons...
Ausführliche Beschreibung
Autor*in: |
Haack, J. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2021 |
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Schlagwörter: |
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Anmerkung: |
© The Author(s) 2021 |
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Übergeordnetes Werk: |
Enthalten in: Journal of statistical physics - Springer US, 1969, 184(2021), 3 vom: Sept. |
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Übergeordnetes Werk: |
volume:184 ; year:2021 ; number:3 ; month:09 |
Links: |
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DOI / URN: |
10.1007/s10955-021-02821-2 |
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OLC212769581X |
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520 | |a Abstract We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium. | ||
650 | 4 | |a Multi-fluid mixture | |
650 | 4 | |a Kinetic model | |
650 | 4 | |a BGK approximation | |
650 | 4 | |a Plasma physics | |
650 | 4 | |a Velocity-dependent collision frequency | |
650 | 4 | |a Entropy minimization | |
700 | 1 | |a Hauck, C. |4 aut | |
700 | 1 | |a Klingenberg, C. |4 aut | |
700 | 1 | |a Pirner, M. |4 aut | |
700 | 1 | |a Warnecke, S. |4 aut | |
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10.1007/s10955-021-02821-2 doi (DE-627)OLC212769581X (DE-He213)s10955-021-02821-2-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Haack, J. verfasserin aut A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium. Multi-fluid mixture Kinetic model BGK approximation Plasma physics Velocity-dependent collision frequency Entropy minimization Hauck, C. aut Klingenberg, C. aut Pirner, M. aut Warnecke, S. aut Enthalten in Journal of statistical physics Springer US, 1969 184(2021), 3 vom: Sept. (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:184 year:2021 number:3 month:09 https://doi.org/10.1007/s10955-021-02821-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY 33.00 VZ AR 184 2021 3 09 |
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10.1007/s10955-021-02821-2 doi (DE-627)OLC212769581X (DE-He213)s10955-021-02821-2-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Haack, J. verfasserin aut A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium. Multi-fluid mixture Kinetic model BGK approximation Plasma physics Velocity-dependent collision frequency Entropy minimization Hauck, C. aut Klingenberg, C. aut Pirner, M. aut Warnecke, S. aut Enthalten in Journal of statistical physics Springer US, 1969 184(2021), 3 vom: Sept. (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:184 year:2021 number:3 month:09 https://doi.org/10.1007/s10955-021-02821-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY 33.00 VZ AR 184 2021 3 09 |
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10.1007/s10955-021-02821-2 doi (DE-627)OLC212769581X (DE-He213)s10955-021-02821-2-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Haack, J. verfasserin aut A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium. Multi-fluid mixture Kinetic model BGK approximation Plasma physics Velocity-dependent collision frequency Entropy minimization Hauck, C. aut Klingenberg, C. aut Pirner, M. aut Warnecke, S. aut Enthalten in Journal of statistical physics Springer US, 1969 184(2021), 3 vom: Sept. (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:184 year:2021 number:3 month:09 https://doi.org/10.1007/s10955-021-02821-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY 33.00 VZ AR 184 2021 3 09 |
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10.1007/s10955-021-02821-2 doi (DE-627)OLC212769581X (DE-He213)s10955-021-02821-2-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Haack, J. verfasserin aut A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium. Multi-fluid mixture Kinetic model BGK approximation Plasma physics Velocity-dependent collision frequency Entropy minimization Hauck, C. aut Klingenberg, C. aut Pirner, M. aut Warnecke, S. aut Enthalten in Journal of statistical physics Springer US, 1969 184(2021), 3 vom: Sept. (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:184 year:2021 number:3 month:09 https://doi.org/10.1007/s10955-021-02821-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY 33.00 VZ AR 184 2021 3 09 |
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A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures |
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Abstract We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium. © The Author(s) 2021 |
abstractGer |
Abstract We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium. © The Author(s) 2021 |
abstract_unstemmed |
Abstract We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium. © The Author(s) 2021 |
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A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC212769581X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230505133552.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230505s2021 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10955-021-02821-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC212769581X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10955-021-02821-2-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">Haack, J.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</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">© The Author(s) 2021</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Multi-fluid mixture</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kinetic model</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">BGK approximation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Plasma physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Velocity-dependent collision frequency</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Entropy minimization</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hauck, C.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Klingenberg, C.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pirner, M.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Warnecke, S.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of statistical physics</subfield><subfield code="d">Springer US, 1969</subfield><subfield code="g">184(2021), 3 vom: Sept.</subfield><subfield code="w">(DE-627)129549711</subfield><subfield code="w">(DE-600)219136-2</subfield><subfield code="w">(DE-576)015002918</subfield><subfield code="x">0022-4715</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:184</subfield><subfield code="g">year:2021</subfield><subfield code="g">number:3</subfield><subfield code="g">month:09</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10955-021-02821-2</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="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">184</subfield><subfield code="j">2021</subfield><subfield code="e">3</subfield><subfield code="c">09</subfield></datafield></record></collection>
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