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Phase space trajectories generated under coupling between a dynamic system and a thermal reservoir

Author(s)
Sinha, Dhiraj
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Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/
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Abstract
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.
Date issued
2019-12-06
URI
https://hdl.handle.net/1721.1/123499
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Journal
Journal of Physics Communications
Publisher
Institute of Physics Publishing
Citation
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
Version: Final published version
ISSN
2399-6528

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