The Entropy of a Brownian Particle in a Thermal Bath Interacting Both with a Parabolic Potential

Pedro J. Colmenares

doi:10.20944/preprints202311.0476.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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)

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.

Stochastic processes; Brownian motion; Fokker-Planck equation.

Physical Sciences, Thermodynamics

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The Entropy of a Brownian Particle in a Thermal Bath Interacting Both with a Parabolic Potential

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