Free energy and entropy production rate for a Brownian particle that walks on overdamped medium

Abstract

We derive general expressions for the free energy, entropy production and entropy extraction rates for a Brownian particle that walks in a viscous medium where the dynamics of its motion is governed by the Langevin equation. It is shown that when the system is out of equilibrium, it constantly produces entropy and at the same time extracts entropy out of the system. Its entropy production and extraction rates decrease in time and saturate to a constant value. In long time limit, the rate of entropy production balances the rate of entropy extraction and at equilibrium both entropy production and extraction rates become zero. Moreover, considering different model systems, not only we investigate how various thermodynamic quantities behave in time but also we discuss the fluctuation theorem in detail.

arXiv admin note: text overlap with arXiv:1507.01791

References in corpus (3)

• Fluctuation theorems for stochastic dynamics
• Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
• Coherence-enhanced efficiency of feedback-driven quantum engines

Cited by in corpus (5)

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• Exact time-dependent analytical solutions for entropy production rate for a system that operates in a heat bath where its temperature varies linearly in space
• Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
• Effect of viscous friction on entropy, entropy production and entropy extraction rates in underdamped and overdamped media