Fluctuation Theorems for Systems under Fokker-Planck dynamics
A. Perez-Madrid, I. Santamaria-Holek
TL;DR
This paper derives fluctuation theorems for systems described by Fokker-Planck dynamics, specifically for Brownian motion under various external forces, extending previous results to local and quasi-equilibrium conditions.
Contribution
It provides new derivations of fluctuation theorems for Fokker-Planck systems under both conservative and nonconservative forces, including local and quasi-equilibrium states.
Findings
Derived fluctuation theorems for local equilibrium
Extended fluctuation relations to quasi-equilibrium conditions
Confirmed consistency with previous local equilibrium results
Abstract
We study Brownian motion driven with both conservative and nonconservative external forces. By using the thermodynamic approach of the theory of Brownian motion we obtain the Fokker-Planck equation and derive expressions for the Fluctuation Theorem in local equilibrium and in quasi-equilibrium. In local equilibrium the expressions we obtain coincide with previous results.
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