Fluctuation Theorem on a Riemannian Manifold

Abstract

Based on the covariant underdamped and overdamped Langevin equations with Stratonovich coupling to multiplicative noises and the associated Fokker-Planck equations on Riemannian manifold, we present the first law of stochastic thermodynamics on the trajectory level. The corresponding fluctuation theorems are also established, with the total entropy production of the Brownian particle and the heat reservoir playing the role of dissipation function.

10 pages. v3: final published version

References in corpus (4)

• Path-integral analysis of fluctuation theorems for general Langevin processes
• Fluctuation relations for a driven Brownian particle
• Covariant Formulation of Non-linear Langevin Theory with Multiplicative Gaussian White Noises
• Relativistic stochastic mechanics I: Langevin equation from observer's perspective