A Thermodynamic Model for Time Dependent Billiards
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2021 |
| Tipo de documento: | Capítulo de livro |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UNESP |
| Texto Completo: | http://dx.doi.org/10.1007/978-981-16-3544-1_15 http://hdl.handle.net/11449/233477 |
Resumo: | This chapter is dedicated to discuss some thermodynamic properties for a set of particles moving confined to a time dependent oval billiard. Two approaches are considered. One of them uses the heat transfer, well described by the Fourier equation, leading to an analytical expression for the temperature. The other one involves the time evolution of an ensemble of different initial conditions for a time dependent billiard dynamics. The temperature of the gas of particles is obtained from a connection with the equipartition theorem. |
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A Thermodynamic Model for Time Dependent BilliardsThis chapter is dedicated to discuss some thermodynamic properties for a set of particles moving confined to a time dependent oval billiard. Two approaches are considered. One of them uses the heat transfer, well described by the Fourier equation, leading to an analytical expression for the temperature. The other one involves the time evolution of an ensemble of different initial conditions for a time dependent billiard dynamics. The temperature of the gas of particles is obtained from a connection with the equipartition theorem.Departmamento de Física Sao Paulo State UniversityDepartmamento de Física Sao Paulo State UniversityUniversidade Estadual Paulista (UNESP)Leonel, Edson Denis [UNESP]2022-05-01T08:45:03Z2022-05-01T08:45:03Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPart205-222http://dx.doi.org/10.1007/978-981-16-3544-1_15Nonlinear Physical Science, p. 205-222.1867-84591867-8440http://hdl.handle.net/11449/23347710.1007/978-981-16-3544-1_152-s2.0-85114290453Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Physical Scienceinfo:eu-repo/semantics/openAccess2022-05-01T08:45:03Zoai:repositorio.unesp.br:11449/233477Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:28:35.508962Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
A Thermodynamic Model for Time Dependent Billiards |
| title |
A Thermodynamic Model for Time Dependent Billiards |
| spellingShingle |
A Thermodynamic Model for Time Dependent Billiards Leonel, Edson Denis [UNESP] |
| title_short |
A Thermodynamic Model for Time Dependent Billiards |
| title_full |
A Thermodynamic Model for Time Dependent Billiards |
| title_fullStr |
A Thermodynamic Model for Time Dependent Billiards |
| title_full_unstemmed |
A Thermodynamic Model for Time Dependent Billiards |
| title_sort |
A Thermodynamic Model for Time Dependent Billiards |
| author |
Leonel, Edson Denis [UNESP] |
| author_facet |
Leonel, Edson Denis [UNESP] |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
| dc.contributor.author.fl_str_mv |
Leonel, Edson Denis [UNESP] |
| description |
This chapter is dedicated to discuss some thermodynamic properties for a set of particles moving confined to a time dependent oval billiard. Two approaches are considered. One of them uses the heat transfer, well described by the Fourier equation, leading to an analytical expression for the temperature. The other one involves the time evolution of an ensemble of different initial conditions for a time dependent billiard dynamics. The temperature of the gas of particles is obtained from a connection with the equipartition theorem. |
| publishDate |
2021 |
| dc.date.none.fl_str_mv |
2021-01-01 2022-05-01T08:45:03Z 2022-05-01T08:45:03Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/bookPart |
| format |
bookPart |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/978-981-16-3544-1_15 Nonlinear Physical Science, p. 205-222. 1867-8459 1867-8440 http://hdl.handle.net/11449/233477 10.1007/978-981-16-3544-1_15 2-s2.0-85114290453 |
| url |
http://dx.doi.org/10.1007/978-981-16-3544-1_15 http://hdl.handle.net/11449/233477 |
| identifier_str_mv |
Nonlinear Physical Science, p. 205-222. 1867-8459 1867-8440 10.1007/978-981-16-3544-1_15 2-s2.0-85114290453 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
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Nonlinear Physical Science |
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info:eu-repo/semantics/openAccess |
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openAccess |
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205-222 |
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Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
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Universidade Estadual Paulista (UNESP) |
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UNESP |
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UNESP |
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Repositório Institucional da UNESP |
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Repositório Institucional da UNESP |
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Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
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1808128516935385088 |