Finite chaotic environment as a thermal reservoir
We study the flow of energy between a harmonic oscillator (HO) and an external environment consisting of N two-degrees-of-freedom nonlinear oscillators, ranging from integrable to chaotic according to a control parameter. The coupling between the HO and the environment is bilinear in the coordinates...
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| Format: | Online |
| Language: | Portuguese |
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Universidade Estadual de Campinas
2020
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| Online Access: | https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3252 |
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| _version_ | 1864358294395551744 |
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| author | Marchiori , Marcelo Amorim |
| author_facet | Marchiori , Marcelo Amorim |
| author_sort | Marchiori , Marcelo Amorim |
| collection | Portal de Eventos Científicos da UNICAMP |
| container_reference | Physicae Proceedings; Vol. 1 No. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 |
| description | We study the flow of energy between a harmonic oscillator (HO) and an external environment consisting of N two-degrees-of-freedom nonlinear oscillators, ranging from integrable to chaotic according to a control parameter. The coupling between the HO and the environment is bilinear in the coordinates and scales with system size as 1/Sqrt(N) . We study the conditions for energy dissipation and thermalization as a function of N and of the dynamical regime of the nonlinear oscillators. The study is classical and based on a single realization of the dynamics, as opposed to ensemble averages over many realizations. We find that dissipation occurs in the chaotic regime for fairly small values of N, leading to the thermalization of the HO and the environment in a Boltzmann distribution of energies for a well-defined temperature. We develop a simple analytical treatment, based on the linear response theory, that justifies the coupling scaling and reproduces the numerical simulations when the environment is in the chaotic regime. |
| first_indexed | 2025-10-08T13:49:19Z |
| format | Online |
| id | ojs-article-3252 |
| institution | Universidade Estadual de Campinas |
| issn | 2236-7535 |
| language | por |
| last_indexed | 2025-10-08T13:49:19Z |
| publishDate | 2020 |
| publisher | Universidade Estadual de Campinas |
| record_format | ojs |
| spelling | ojs-article-32522020-05-15T15:30:07Z Finite chaotic environment as a thermal reservoir Marchiori , Marcelo Amorim Harmonic oscillator Boltzmann distribution We study the flow of energy between a harmonic oscillator (HO) and an external environment consisting of N two-degrees-of-freedom nonlinear oscillators, ranging from integrable to chaotic according to a control parameter. The coupling between the HO and the environment is bilinear in the coordinates and scales with system size as 1/Sqrt(N) . We study the conditions for energy dissipation and thermalization as a function of N and of the dynamical regime of the nonlinear oscillators. The study is classical and based on a single realization of the dynamics, as opposed to ensemble averages over many realizations. We find that dissipation occurs in the chaotic regime for fairly small values of N, leading to the thermalization of the HO and the environment in a Boltzmann distribution of energies for a well-defined temperature. We develop a simple analytical treatment, based on the linear response theory, that justifies the coupling scaling and reproduces the numerical simulations when the environment is in the chaotic regime. Universidade Estadual de Campinas 2020-05-15 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3252 Physicae Proceedings; Vol. 1 No. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 Physicae Proceedings; v. 1 n. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 2236-7535 por https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3252/3188 Copyright (c) 2012 Physicae |
| spellingShingle | Marchiori , Marcelo Amorim Harmonic oscillator Boltzmann distribution Finite chaotic environment as a thermal reservoir |
| title | Finite chaotic environment as a thermal reservoir |
| title_full | Finite chaotic environment as a thermal reservoir |
| title_fullStr | Finite chaotic environment as a thermal reservoir |
| title_full_unstemmed | Finite chaotic environment as a thermal reservoir |
| title_short | Finite chaotic environment as a thermal reservoir |
| title_sort | finite chaotic environment as a thermal reservoir |
| topic | Harmonic oscillator Boltzmann distribution |
| url | https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3252 |
| work_keys_str_mv | AT marchiorimarceloamorim finitechaoticenvironmentasathermalreservoir |
