Is the Boltzmann equation reversible? A large deviation perspective on the irreversibility paradox

DOI10.1007/s10955-020-02588-yzbMath1453.82069arXiv2002.10398OpenAlexW3103099935MaRDI QIDQ2202310

Freddy Bouchet

Publication date: 18 September 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.10398

zbMATH Keywords

Boltzmann equationkinetic theorygradient flowsmacroscopic fluctuation theorylarge deviation theorydilute gases

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Gas dynamics (general theory) (76N15) Large deviations (60F10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (14)

Fluctuating kinetic theory and fluctuating hydrodynamics of aligning active particles: the dilute limit ⋮ Path large deviations for the kinetic theory of weak turbulence ⋮ Landau theory for finite-time dynamical phase transitions ⋮ Cosh gradient systems and tilting ⋮ Large deviations of Kac's conservative particle system and energy nonconserving solutions to the Boltzmann equation: a counterexample to the predicted rate function ⋮ Dynamics of dilute gases: a statistical approach ⋮ On the dynamics of dilute gases ⋮ Variational structures beyond gradient flows: a macroscopic fluctuation-theory perspective ⋮ Dynamical large deviations for an inhomogeneous wave kinetic theory: linear wave scattering by a random medium ⋮ Large deviations for a binary collision model: energy evaporation ⋮ Dynamical large deviations for plasmas below the Debye length and the Landau equation ⋮ Large deviations for Kac-like walks ⋮ Dynamical large deviations for homogeneous systems with long range interactions and the Balescu-Guernsey-Lenard equation ⋮ Non-reversible processes: GENERIC, hypocoercivity and fluctuations

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