A generalized integral fluctuation theorem for diffusion processes
Fei Liu, Zhong-can Ou-Yang
TL;DR
This paper introduces a generalized integral fluctuation theorem for diffusion processes, unifying existing theorems and explaining their origins through time-reversal of stochastic systems.
Contribution
It develops a unified framework for fluctuation theorems using advanced stochastic calculus, extending previous results to more general diffusion processes.
Findings
Unified integral fluctuation theorem for diffusion processes
Connection between fluctuation theorems and time-reversal symmetry
Extension of existing theorems to broader classes of stochastic systems
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.
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