Fluctuation Theorem on a Riemannian Manifold
arXiv:2401.00046 · doi:10.1103/PhysRevResearch.6.023007
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.
arXiv comment10 pages. v3: final published version
References in corpus (13)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- Path-integral analysis of fluctuation theorems for general Langevin processes
- Fluctuation relations for a driven Brownian particle
- The geometry of the tangent bundle and the relativistic kinetic theory of gases
- Entropy Production in Mesoscopic Stochastic Thermodynamics: Nonequilibrium Kinetic Cycles Driven by Chemical Potentials, Temperatures, and Mechanical Forces
- An introduction to the relativistic kinetic theory on curved spacetimes
- Overdamped limit and inverse friction expansion for the Brownian motion in an inhomogeneous medium
- Covariant Formulation of Non-linear Langevin Theory with Multiplicative Gaussian White Noises
- Relativistic stochastic mechanics I: Langevin equation from observer's perspective
- Relativistic stochastic mechanics II: Reduced Fokker-Planck equation in curved spacetime