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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.v1 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.v1
Abstract
In a recent article, the author derived a new generalized Langevin equation (NGLE) and its associated Fokker-Planck equation (FPE) 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 (CGLE). We found a completely different scenario for the entropy than when the interaction of the field with the heat bath is off. The new findings for the entropy and its rate physically improve the thermodynamics description of the system.
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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