Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem
We generalize the many-body formalism for the Peltier effect to the nonlinear/nonequilibrium regime corresponding to large amplitude (spatially uniform but time-dependent) electric fields. We find a relationship between the expectation values for the charge current and for the part of the heat cur...
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| Дата: | 2006 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут фізики конденсованих систем НАН України
2006
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/121367 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem / J.K. Freericks, V. Zlatic // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 603–617. — Бібліогр.: 24 назв. — англ. |
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irk-123456789-1213672017-06-15T03:03:30Z Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem Freericks, J.K. Zlatic, V. We generalize the many-body formalism for the Peltier effect to the nonlinear/nonequilibrium regime corresponding to large amplitude (spatially uniform but time-dependent) electric fields. We find a relationship between the expectation values for the charge current and for the part of the heat current that reduces to the Jonson-Mahan theorem in the linear-response regime. The nonlinear-response Peltier effect has an extra term in the heat current that is related to Joule heating (we are unable to fully analyze this term). The formalism holds in all dimensions and for arbitrary many-body systems that have local interactions. We illustrate it for the Falicov-Kimball, Hubbard, and periodic Anderson models. В данiй роботi узагальнено багаточастинковий формалiзм для ефекту Пельт’є для нелiнiйного/нерiвноважного режиму, що вiдповiдає сильним електричним полям (просторово-однорiдним але залежним вiд часу). Знайдено спiввiдношення мiж струмом та частиною потоку тепла, яке зводиться до теореми Джонсона-Махана для випадку режиму лiнiйного вiдгуку. У ефектi Пельт’є для нелiнiйного вiдгуку з’являється додатковий доданок у виразi для потоку тепла, що пов’язаний iз теплотою Джоуля (повнiстю проаналiзувати цей доданок неможливо). Розвинутий формалiзм є справедливим для будь-якої вимiрностi простору та для довiльних багаточастинкових систем з локальною взаємодiєю. Нами проiлюстровано це для випадку моделей Фалiкова-Кiмбала, Хаббарда та для перiодичної моделi Андерсона. 2006 Article Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem / J.K. Freericks, V. Zlatic // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 603–617. — Бібліогр.: 24 назв. — англ. 1607-324X PACS: 71.27.+a, 71.10.Fd, 71.45.Gm, 72.20.Ht DOI:10.5488/CMP.9.3.603 http://dspace.nbuv.gov.ua/handle/123456789/121367 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We generalize the many-body formalism for the Peltier effect to the nonlinear/nonequilibrium regime corresponding
to large amplitude (spatially uniform but time-dependent) electric fields. We find a relationship
between the expectation values for the charge current and for the part of the heat current that reduces to the
Jonson-Mahan theorem in the linear-response regime. The nonlinear-response Peltier effect has an extra term
in the heat current that is related to Joule heating (we are unable to fully analyze this term). The formalism
holds in all dimensions and for arbitrary many-body systems that have local interactions. We illustrate it for the
Falicov-Kimball, Hubbard, and periodic Anderson models. |
| format |
Article |
| author |
Freericks, J.K. Zlatic, V. |
| spellingShingle |
Freericks, J.K. Zlatic, V. Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem Condensed Matter Physics |
| author_facet |
Freericks, J.K. Zlatic, V. |
| author_sort |
Freericks, J.K. |
| title |
Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem |
| title_short |
Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem |
| title_full |
Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem |
| title_fullStr |
Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem |
| title_full_unstemmed |
Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem |
| title_sort |
nonlinear peltier effect and the nonequilibrium jonson-mahan theorem |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/121367 |
| citation_txt |
Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem / J.K. Freericks, V. Zlatic // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 603–617. — Бібліогр.: 24 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT freericksjk nonlinearpeltiereffectandthenonequilibriumjonsonmahantheorem AT zlaticv nonlinearpeltiereffectandthenonequilibriumjonsonmahantheorem |
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2023-10-18T20:39:17Z |
| last_indexed |
2023-10-18T20:39:17Z |
| _version_ |
1796150765185662976 |