Comportamento termodinâmico de cadeias de dímeros
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Tipo de documento: | Tese |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFSCAR |
Texto Completo: | https://repositorio.ufscar.br/handle/ufscar/8656 |
Resumo: | In this Thesis we propose to describe the thermodynamical properties of dimer chains in a one-dimensional lattice rstly considering q-states of chain orientation in the lattice and secondly by a three states model where the chain orientation is associated with a energy " > 0 or " = 0. For this reason we describe our system by a microcanonical ensemble to get the canonical partition function and through this function obtain the Helmholtz free energy, the entropy, internal energy and pressure. We solved also the problem by adopting the grand canonical ensemble using the transfer matrix method and we get in the thermodynamical limit the equivalence between both ensembles. However the analysis of the thermodynamic properties for systems with nite size is quite relevant since for these nite systems can be found a inequivalence of ensembles. Thereby we performed a detailed study of the Statistical Mechanics for nite particles systems verifying the equivalence o ensembles. |
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Nascimento, Denise Andrade doSousa, José Ricardo dehttp://lattes.cnpq.br/3871066069541626Adão Neto, Minos Martinshttp://lattes.cnpq.br/6102062332483035http://lattes.cnpq.br/3111593924862886efff129c-3a55-4ac6-9a2e-fc1ba170471c2017-04-20T13:54:43Z2017-04-20T13:54:43Z2016-10-31NASCIMENTO, Denise Andrade do. Comportamento termodinâmico de cadeias de dímeros. 2016. Tese (Doutorado em Física) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8656.https://repositorio.ufscar.br/handle/ufscar/8656In this Thesis we propose to describe the thermodynamical properties of dimer chains in a one-dimensional lattice rstly considering q-states of chain orientation in the lattice and secondly by a three states model where the chain orientation is associated with a energy " > 0 or " = 0. For this reason we describe our system by a microcanonical ensemble to get the canonical partition function and through this function obtain the Helmholtz free energy, the entropy, internal energy and pressure. We solved also the problem by adopting the grand canonical ensemble using the transfer matrix method and we get in the thermodynamical limit the equivalence between both ensembles. However the analysis of the thermodynamic properties for systems with nite size is quite relevant since for these nite systems can be found a inequivalence of ensembles. Thereby we performed a detailed study of the Statistical Mechanics for nite particles systems verifying the equivalence o ensembles.O presente trabalho tem por finalidade descrever as propriedades termodinâmicas de cadeias de dímeros em uma rede unidimensional, inicialmente considerando q-estados de orientações das cadeias na rede, e posteriormente um modelo de 3 estados, onde orientação da cadeia está associada a uma energia " > 0 ou " = 0. Para isso, consideramos o problema de um ponto de vista combinatório, no ensemble microcanônico, de maneira a obter sua função de partição canônica e através dela encontrarmos as grandezas termodinâmicas de interesse, tais como a energia livre de Helmholtz, entropia, energia interna, pressão, por exemplo. Posteriormente, resolvemos o problema no ensemble grande canôncio usando a técnica de matriz de transferência, obtendo assim, no limite termodinâmico a equivalência entre os ensembles. Entretanto, têm-se tornado cada vez mais importante e frequente, o estudo termodinâmico de sistemas “pequenos", onde nestes casos pode haver a inequivalência entre as grandezas físicas obtidas nos ensembles. Desse modo, realizamos um estudo detalhado do que acontece ao aplicarmos ferramentas da mecânica estatística a sistemas com poucas partículas, verificando se os diferentes ensembles estatísticos estudados neste trabalho ainda levam aos mesmos resultados.Não recebi financiamentoporUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Física - PPGFUFSCarTermodinâmicaMecânica estatísticaDímerosRede unidimensionalMatriz de transferênciaThermodynamicsStatistical mechanicsDimersOne-dimensional latticeTransfer matrix methodCIENCIAS EXATAS E DA TERRA::FISICAComportamento termodinâmico de cadeias de dímerosinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisOnline6006000c4db4d6-5aa4-4916-91f8-dbc89c346249info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALTeseDAN.pdfTeseDAN.pdfapplication/pdf8462805https://repositorio.ufscar.br/bitstream/ufscar/8656/1/TeseDAN.pdf612f3289bd6eedee49e627d6f99f7762MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstream/ufscar/8656/2/license.txtae0398b6f8b235e40ad82cba6c50031dMD52TEXTTeseDAN.pdf.txtTeseDAN.pdf.txtExtracted texttext/plain173089https://repositorio.ufscar.br/bitstream/ufscar/8656/3/TeseDAN.pdf.txt41db7a021ab80383015ad18ae27fbf7fMD53THUMBNAILTeseDAN.pdf.jpgTeseDAN.pdf.jpgIM Thumbnailimage/jpeg6901https://repositorio.ufscar.br/bitstream/ufscar/8656/4/TeseDAN.pdf.jpg39a094df3927eec005303b18a22d7a9cMD54ufscar/86562023-09-18 18:31:08.87oai:repositorio.ufscar.br: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Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:31:08Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false |
dc.title.por.fl_str_mv |
Comportamento termodinâmico de cadeias de dímeros |
title |
Comportamento termodinâmico de cadeias de dímeros |
spellingShingle |
Comportamento termodinâmico de cadeias de dímeros Nascimento, Denise Andrade do Termodinâmica Mecânica estatística Dímeros Rede unidimensional Matriz de transferência Thermodynamics Statistical mechanics Dimers One-dimensional lattice Transfer matrix method CIENCIAS EXATAS E DA TERRA::FISICA |
title_short |
Comportamento termodinâmico de cadeias de dímeros |
title_full |
Comportamento termodinâmico de cadeias de dímeros |
title_fullStr |
Comportamento termodinâmico de cadeias de dímeros |
title_full_unstemmed |
Comportamento termodinâmico de cadeias de dímeros |
title_sort |
Comportamento termodinâmico de cadeias de dímeros |
author |
Nascimento, Denise Andrade do |
author_facet |
Nascimento, Denise Andrade do |
author_role |
author |
dc.contributor.authorlattes.por.fl_str_mv |
http://lattes.cnpq.br/3111593924862886 |
dc.contributor.author.fl_str_mv |
Nascimento, Denise Andrade do |
dc.contributor.advisor1.fl_str_mv |
Sousa, José Ricardo de |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/3871066069541626 |
dc.contributor.advisor-co1.fl_str_mv |
Adão Neto, Minos Martins |
dc.contributor.advisor-co1Lattes.fl_str_mv |
http://lattes.cnpq.br/6102062332483035 |
dc.contributor.authorID.fl_str_mv |
efff129c-3a55-4ac6-9a2e-fc1ba170471c |
contributor_str_mv |
Sousa, José Ricardo de Adão Neto, Minos Martins |
dc.subject.por.fl_str_mv |
Termodinâmica Mecânica estatística Dímeros Rede unidimensional Matriz de transferência |
topic |
Termodinâmica Mecânica estatística Dímeros Rede unidimensional Matriz de transferência Thermodynamics Statistical mechanics Dimers One-dimensional lattice Transfer matrix method CIENCIAS EXATAS E DA TERRA::FISICA |
dc.subject.eng.fl_str_mv |
Thermodynamics Statistical mechanics Dimers One-dimensional lattice Transfer matrix method |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::FISICA |
description |
In this Thesis we propose to describe the thermodynamical properties of dimer chains in a one-dimensional lattice rstly considering q-states of chain orientation in the lattice and secondly by a three states model where the chain orientation is associated with a energy " > 0 or " = 0. For this reason we describe our system by a microcanonical ensemble to get the canonical partition function and through this function obtain the Helmholtz free energy, the entropy, internal energy and pressure. We solved also the problem by adopting the grand canonical ensemble using the transfer matrix method and we get in the thermodynamical limit the equivalence between both ensembles. However the analysis of the thermodynamic properties for systems with nite size is quite relevant since for these nite systems can be found a inequivalence of ensembles. Thereby we performed a detailed study of the Statistical Mechanics for nite particles systems verifying the equivalence o ensembles. |
publishDate |
2016 |
dc.date.issued.fl_str_mv |
2016-10-31 |
dc.date.accessioned.fl_str_mv |
2017-04-20T13:54:43Z |
dc.date.available.fl_str_mv |
2017-04-20T13:54:43Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/doctoralThesis |
format |
doctoralThesis |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
NASCIMENTO, Denise Andrade do. Comportamento termodinâmico de cadeias de dímeros. 2016. Tese (Doutorado em Física) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8656. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufscar.br/handle/ufscar/8656 |
identifier_str_mv |
NASCIMENTO, Denise Andrade do. Comportamento termodinâmico de cadeias de dímeros. 2016. Tese (Doutorado em Física) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8656. |
url |
https://repositorio.ufscar.br/handle/ufscar/8656 |
dc.language.iso.fl_str_mv |
por |
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por |
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600 600 |
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0c4db4d6-5aa4-4916-91f8-dbc89c346249 |
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info:eu-repo/semantics/openAccess |
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openAccess |
dc.publisher.none.fl_str_mv |
Universidade Federal de São Carlos Câmpus São Carlos |
dc.publisher.program.fl_str_mv |
Programa de Pós-Graduação em Física - PPGF |
dc.publisher.initials.fl_str_mv |
UFSCar |
publisher.none.fl_str_mv |
Universidade Federal de São Carlos Câmpus São Carlos |
dc.source.none.fl_str_mv |
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