A generalized integral fluctuation theorem for diffusion processes

Abstract

We present a generalized integral fluctuation theorem (GIFT) for general diffusion processes using the Feynman-Kac and Cameron-Martin-Girsanov formulas. Existing IFTs can be thought of to be its specific cases. We interpret the origin of this theorem in terms of time-reversal of stochastic systems.

Content was changed. We presented a generalized integral fluctuation theorem, and also discussed its origin

References in corpus (5)

• Single-molecule experiments in biological physics: methods and applications
• Integral fluctuation theorem for the housekeeping heat
• Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the Absence of Detailed Balance. IV: Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics
• Fluctuation Relations for Diffusion Processes
• Entropy production for mechanically or chemically driven biomolecules

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