Large deviations of Kac's conservative particle system and energy nonconserving solutions to the Boltzmann equation: a counterexample to the predicted rate function

DOI10.1214/22-aap1852zbMath1517.35147arXiv2103.14550OpenAlexW3141147863WikidataQ125052814 ScholiaQ125052814MaRDI QIDQ6104012

Daniel Heydecker

Publication date: 5 June 2023

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14550

zbMATH Keywords

Boltzmann equationlarge deviationsGaussian momentsKac processCramér boundsempirical flux

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Large deviations (60F10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Boltzmann equations (35Q20)

Related Items (4)

Pathwise large deviations for the pure jump \(k\)-nary interacting particle systems ⋮ 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

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