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

Pedro J. Colmenares

doi:10.20944/preprints202311.0476.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed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 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.

Stochastic processes; Brownian motion; Fokker-Planck equation.

Physical Sciences, Thermodynamics

Comment 1

Received: 13 November 2023
Commenter: Pedro Colmenares
Commenter's Conflict of Interests: Author

Comment: The text of the Abstract and Conclusions were changed to make it easy to follow. Minor changes in the body text were made.

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

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