Phase space trajectories generated under coupling between a dynamic system and a thermal reservoir
We analyze the phase space trajectories generated under coupling between a dynamic system and a thermal reservoir which generates a fluctuating as well as dissipative force field. We argue that the phase space trajectory of particles associated with intermediate equilibrium states under heat transfe...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
Institute of Physics Publishing
2020
|
| Online Access: | https://hdl.handle.net/1721.1/123499 |
| _version_ | 1826211356131459072 |
|---|---|
| author | Sinha, Dhiraj |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Sinha, Dhiraj |
| author_sort | Sinha, Dhiraj |
| collection | MIT |
| description | We analyze the phase space trajectories generated under coupling between a dynamic system and a thermal reservoir which generates a fluctuating as well as dissipative force field. We argue that the phase space trajectory of particles associated with intermediate equilibrium states under heat transfer possess a symmetric form, while the corresponding trajectory is asymmetric in energy transfer as work. The new perspective can help in developing a closed form expression of heat and work at microscopic dimensions with a few degrees of freedom. We also present a novel mathematical model of thermal reservoir as a dynamic system described using a transfer function comprising of a set of zeros. It addresses the theoretical weaknesses of current models of a thermal reservoir comprising of a collection of harmonic oscillators. |
| first_indexed | 2024-09-23T15:04:36Z |
| format | Article |
| id | mit-1721.1/123499 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T15:04:36Z |
| publishDate | 2020 |
| publisher | Institute of Physics Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1234992022-09-29T12:30:17Z Phase space trajectories generated under coupling between a dynamic system and a thermal reservoir Sinha, Dhiraj Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science We analyze the phase space trajectories generated under coupling between a dynamic system and a thermal reservoir which generates a fluctuating as well as dissipative force field. We argue that the phase space trajectory of particles associated with intermediate equilibrium states under heat transfer possess a symmetric form, while the corresponding trajectory is asymmetric in energy transfer as work. The new perspective can help in developing a closed form expression of heat and work at microscopic dimensions with a few degrees of freedom. We also present a novel mathematical model of thermal reservoir as a dynamic system described using a transfer function comprising of a set of zeros. It addresses the theoretical weaknesses of current models of a thermal reservoir comprising of a collection of harmonic oscillators. 2020-01-21T19:59:46Z 2020-01-21T19:59:46Z 2019-12-06 2019-06-05 Article http://purl.org/eprint/type/JournalArticle 2399-6528 https://hdl.handle.net/1721.1/123499 Sinha, Dhiraj. "Phase space trajectories generated under coupling between a dynamic system and a thermal reservoir." Journal of Physics Communications, 3, 12 (December 2019): 125003 © 2019 The Author https://doi.org/10.1088/2399-6528/ab4e8b Journal of Physics Communications Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf Institute of Physics Publishing IOP Publishing |
| spellingShingle | Sinha, Dhiraj Phase space trajectories generated under coupling between a dynamic system and a thermal reservoir |
| title | Phase space trajectories generated under coupling between a dynamic system and a thermal reservoir |
| title_full | Phase space trajectories generated under coupling between a dynamic system and a thermal reservoir |
| title_fullStr | Phase space trajectories generated under coupling between a dynamic system and a thermal reservoir |
| title_full_unstemmed | Phase space trajectories generated under coupling between a dynamic system and a thermal reservoir |
| title_short | Phase space trajectories generated under coupling between a dynamic system and a thermal reservoir |
| title_sort | phase space trajectories generated under coupling between a dynamic system and a thermal reservoir |
| url | https://hdl.handle.net/1721.1/123499 |
| work_keys_str_mv | AT sinhadhiraj phasespacetrajectoriesgeneratedundercouplingbetweenadynamicsystemandathermalreservoir |