Path-integral analysis of fluctuation theorems for general Langevin processes

Abstract

We examine classical, transient fluctuation theorems within the unifying framework of Langevin dynamics. We explicitly distinguish between the effects of non-conservative forces that violate detailed balance, and non-autonomous dynamics arising from the variation of an external parameter. When both these sources of nonequilibrium behavior are present, there naturally arise two distinct fluctuation theorems.

24 pages, one figure

References in corpus (4)

• An Extension of the Fluctuation Theorem
• Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
• Integral fluctuation theorem for the housekeeping heat
• Entropy Production of Brownian Macromolecules with Inertia

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• Craig's XY-distribution and the statistics of Lagrangian power in two-dimensional turbulence
• On the probability distribution of power fluctuations in turbulence
• Fluctuations relations for semiclassical single-mode laser
• On the Quantum Jarzynski Identity