Stochastic thermodynamics for kinetic equations

Abstract

Stochastic thermodynamics is formulated for variables that are odd under time reversal. The invariance under spatial rotation of the collision rates due to the isotropy of the heat bath is shown to be a crucial ingredient. An alternative detailed fluctuation theorem is derived, expressed solely in terms of forward statistics. It is illustrated for a linear kinetic equation with kangaroo rates.

References in corpus (9)

• Dissipation: The phase-space perspective
• Fluctuation theorems for stochastic dynamics
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Stochastic approach to equilibrium and nonequilibrium thermodynamics
• Jarzynski equality in $\mathcal{P}\mathcal{T}$-symmetric quantum mechanics
• Large deviations of heat flow in harmonic chains
• Nonequilibrium Statistical Mechanics for Adiabatic Piston Problem
• Fluctuation theorem for entropy production during effusion of an ideal gas with momentum transfer
• Echo states for detailed fluctuation theorems

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• Path Integral approach to nonequilibrium potentials in multiplicative Langevin dynamics
• Dissipation in Hydrodynamics from Micro- to Macroscale: Wisdom from Boltzmann and Stochastic Thermodynamics