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The Entropy of a Brownian Particle in a Thermal Bath Interacting Both with a Parabolic Potential
Version 1
: Received: 6 November 2023 / Approved: 7 November 2023 / Online: 7 November 2023 (13:39:30 CET)
Version 2 : Received: 10 November 2023 / Approved: 13 November 2023 / Online: 13 November 2023 (13:51:39 CET)
Version 2 : Received: 10 November 2023 / Approved: 13 November 2023 / Online: 13 November 2023 (13:51:39 CET)
How to cite: Colmenares, P. J. The Entropy of a Brownian Particle in a Thermal Bath Interacting Both with a Parabolic Potential. Preprints 2023, 2023110476. https://doi.org/10.20944/preprints202311.0476.v2 Colmenares, P. J. The Entropy of a Brownian Particle in a Thermal Bath Interacting Both with a Parabolic Potential. Preprints 2023, 2023110476. https://doi.org/10.20944/preprints202311.0476.v2
Abstract
In a recent article, the author derived a new generalized Langevin equation and its associated Fokker-Planck equation of a Brownian particle in a parabolic potential where the thermal bath, consisting of $N$ harmonic oscillators, interacts bilinearly with the external field. The time needed for the system to reach a steady state is longer than that for the classical version where such an interaction is off. We find that there is a marked effect of the field-bath interaction on the average heat and entropy production of the bath represented through strong oscillations in such properties. The new theory applied to the system should improve the physical description of previous works done with the classical approach.
Keywords
Stochastic processes; Brownian motion; Fokker-Planck equation.
Subject
Physical Sciences, Thermodynamics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Commenter: Pedro Colmenares
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