Entropy production and heat transport in harmonic chains under time-dependent periodic drivings
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Tipo de documento: | Dissertação |
Idioma: | eng |
Título da fonte: | Biblioteca Digital de Teses e Dissertações da USP |
Texto Completo: | https://www.teses.usp.br/teses/disponiveis/43/43134/tde-21062021-114257/ |
Resumo: | We study the properties of interacting linear chains subject to periodic drivings through the framework of stochastic thermodynamics. The systems are described by Fokker-Planck-Kramers equation and exact solutions are obtained as functions of the modulation frequency and strength constants. Analysis will be carried out for short and long chains. In the former case, explicit expressions are derived for a chain of two particles, in which the entropy production is written down as a bilinear function of thermodynamic forces and fluxes, whose associated Onsager coefficients are evaluated for distinct kinds of periodic drivings. The limit of long chains is analyzed by means of a protocol in which the intermediate temperatures are self consistently chosen and the entropy production is decomposed as a sum of two individual contributions, one coming from real baths (placed at extremities of lattice) and other from self-consistent baths. Whenever the former dominates for short chains, the latter contribution prevails for long ones. It was also possible to verify that the thermal reservoirs leads to a heat flux according to Fouriers law as well as the behavior of the entropy production with a inclusion of a lag and the behavior of the optimal frequency in relation to the problem parameters. |
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Entropy production and heat transport in harmonic chains under time-dependent periodic drivingsEstudo sobre a produção de entropia e transporte de calor em cadeias harmônicas sujeitas a variações temporais periódicasCOEFICIENTES DE ONSAGERENTROPY PRODUCTIONNONEQUILIBRIUM SYSTEMSONSAGER COEFFICIENTSPRODUÇÃO DE ENTROPIASISTEMAS FORA DO EQUILÍBRIOSTOCHASTIC THERMODYNAMICSTERMODINÂMICA ESTOCÁSTICAWe study the properties of interacting linear chains subject to periodic drivings through the framework of stochastic thermodynamics. The systems are described by Fokker-Planck-Kramers equation and exact solutions are obtained as functions of the modulation frequency and strength constants. Analysis will be carried out for short and long chains. In the former case, explicit expressions are derived for a chain of two particles, in which the entropy production is written down as a bilinear function of thermodynamic forces and fluxes, whose associated Onsager coefficients are evaluated for distinct kinds of periodic drivings. The limit of long chains is analyzed by means of a protocol in which the intermediate temperatures are self consistently chosen and the entropy production is decomposed as a sum of two individual contributions, one coming from real baths (placed at extremities of lattice) and other from self-consistent baths. Whenever the former dominates for short chains, the latter contribution prevails for long ones. It was also possible to verify that the thermal reservoirs leads to a heat flux according to Fouriers law as well as the behavior of the entropy production with a inclusion of a lag and the behavior of the optimal frequency in relation to the problem parameters.Nesta dissertação de mestrado estudamos as propriedades termodinâmicas de cadeias lineares sujeitas a forças e temperaturas oscilantes no tempo por meio da abordagem termodinâmica estocástica. Os sistemas em questão são descritos pela equação de Fokker-Planck-Kramers e obtivemos o comportamento exato para as propriedades termodinâmicas como funções da frequência e parâmetros do problema. A análise será dividida em duas partes: regime de cadeias curtas e longas. No primeiro caso, obtivemos expressões para a produção de entropia a qual pode ser escrita como uma forma bilinear pelo produto de forças e fluxos termodinâmicos, cujos coeficientes Onsager são calculados para tipos distintos de variações temporais dos parâmetros. O limite de cadeias longas é analisado por meio de um protocolo em que as temperaturas intermediárias são escolhidas de forma auto-consistente e a produção de entropia é decomposta como uma soma de duas contribuições: uma proveniente de banhos reais (colocados nas extremidades da cadeia) e outros de banhos autoconsistentes. Enquanto o primeiro termo devido as temperaturas dos reservatórios térmicos é dominante no regime de cadeias curtas, o último devido as forças variantes no tempo prevalece para os longos. Ainda foi possível constatarmos que o fluxo de calor obedece a lei de Fourier. No caso de duas partículas interagentes, verificamos que o comportamento da produção de entropia com a inclusão de uma defasagem e o comportamento da frequência ótima em relação aos parâmetros do problema.Biblioteca Digitais de Teses e Dissertações da USPSantos, Carlos Eduardo Fiore dosAkasaki, Bruno Augusto Naves2020-03-18info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttps://www.teses.usp.br/teses/disponiveis/43/43134/tde-21062021-114257/reponame:Biblioteca Digital de Teses e Dissertações da USPinstname:Universidade de São Paulo (USP)instacron:USPLiberar o conteúdo para acesso público.info:eu-repo/semantics/openAccesseng2021-06-24T21:01:02Zoai:teses.usp.br:tde-21062021-114257Biblioteca Digital de Teses e Dissertaçõeshttp://www.teses.usp.br/PUBhttp://www.teses.usp.br/cgi-bin/mtd2br.plvirginia@if.usp.br|| atendimento@aguia.usp.br||virginia@if.usp.bropendoar:27212021-06-24T21:01:02Biblioteca Digital de Teses e Dissertações da USP - Universidade de São Paulo (USP)false |
dc.title.none.fl_str_mv |
Entropy production and heat transport in harmonic chains under time-dependent periodic drivings Estudo sobre a produção de entropia e transporte de calor em cadeias harmônicas sujeitas a variações temporais periódicas |
title |
Entropy production and heat transport in harmonic chains under time-dependent periodic drivings |
spellingShingle |
Entropy production and heat transport in harmonic chains under time-dependent periodic drivings Akasaki, Bruno Augusto Naves COEFICIENTES DE ONSAGER ENTROPY PRODUCTION NONEQUILIBRIUM SYSTEMS ONSAGER COEFFICIENTS PRODUÇÃO DE ENTROPIA SISTEMAS FORA DO EQUILÍBRIO STOCHASTIC THERMODYNAMICS TERMODINÂMICA ESTOCÁSTICA |
title_short |
Entropy production and heat transport in harmonic chains under time-dependent periodic drivings |
title_full |
Entropy production and heat transport in harmonic chains under time-dependent periodic drivings |
title_fullStr |
Entropy production and heat transport in harmonic chains under time-dependent periodic drivings |
title_full_unstemmed |
Entropy production and heat transport in harmonic chains under time-dependent periodic drivings |
title_sort |
Entropy production and heat transport in harmonic chains under time-dependent periodic drivings |
author |
Akasaki, Bruno Augusto Naves |
author_facet |
Akasaki, Bruno Augusto Naves |
author_role |
author |
dc.contributor.none.fl_str_mv |
Santos, Carlos Eduardo Fiore dos |
dc.contributor.author.fl_str_mv |
Akasaki, Bruno Augusto Naves |
dc.subject.por.fl_str_mv |
COEFICIENTES DE ONSAGER ENTROPY PRODUCTION NONEQUILIBRIUM SYSTEMS ONSAGER COEFFICIENTS PRODUÇÃO DE ENTROPIA SISTEMAS FORA DO EQUILÍBRIO STOCHASTIC THERMODYNAMICS TERMODINÂMICA ESTOCÁSTICA |
topic |
COEFICIENTES DE ONSAGER ENTROPY PRODUCTION NONEQUILIBRIUM SYSTEMS ONSAGER COEFFICIENTS PRODUÇÃO DE ENTROPIA SISTEMAS FORA DO EQUILÍBRIO STOCHASTIC THERMODYNAMICS TERMODINÂMICA ESTOCÁSTICA |
description |
We study the properties of interacting linear chains subject to periodic drivings through the framework of stochastic thermodynamics. The systems are described by Fokker-Planck-Kramers equation and exact solutions are obtained as functions of the modulation frequency and strength constants. Analysis will be carried out for short and long chains. In the former case, explicit expressions are derived for a chain of two particles, in which the entropy production is written down as a bilinear function of thermodynamic forces and fluxes, whose associated Onsager coefficients are evaluated for distinct kinds of periodic drivings. The limit of long chains is analyzed by means of a protocol in which the intermediate temperatures are self consistently chosen and the entropy production is decomposed as a sum of two individual contributions, one coming from real baths (placed at extremities of lattice) and other from self-consistent baths. Whenever the former dominates for short chains, the latter contribution prevails for long ones. It was also possible to verify that the thermal reservoirs leads to a heat flux according to Fouriers law as well as the behavior of the entropy production with a inclusion of a lag and the behavior of the optimal frequency in relation to the problem parameters. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-03-18 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://www.teses.usp.br/teses/disponiveis/43/43134/tde-21062021-114257/ |
url |
https://www.teses.usp.br/teses/disponiveis/43/43134/tde-21062021-114257/ |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
|
dc.rights.driver.fl_str_mv |
Liberar o conteúdo para acesso público. info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Liberar o conteúdo para acesso público. |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.coverage.none.fl_str_mv |
|
dc.publisher.none.fl_str_mv |
Biblioteca Digitais de Teses e Dissertações da USP |
publisher.none.fl_str_mv |
Biblioteca Digitais de Teses e Dissertações da USP |
dc.source.none.fl_str_mv |
reponame:Biblioteca Digital de Teses e Dissertações da USP instname:Universidade de São Paulo (USP) instacron:USP |
instname_str |
Universidade de São Paulo (USP) |
instacron_str |
USP |
institution |
USP |
reponame_str |
Biblioteca Digital de Teses e Dissertações da USP |
collection |
Biblioteca Digital de Teses e Dissertações da USP |
repository.name.fl_str_mv |
Biblioteca Digital de Teses e Dissertações da USP - Universidade de São Paulo (USP) |
repository.mail.fl_str_mv |
virginia@if.usp.br|| atendimento@aguia.usp.br||virginia@if.usp.br |
_version_ |
1809090959982460928 |