Large deviations for Kac-like walks

DOI10.1007/s10955-021-02794-2zbMath1477.35111arXiv2101.05481OpenAlexW3184843081MaRDI QIDQ2046508

Lorenzo Bertini, Giada Basile, Dario Benedetto, Carlo Orrieri

Publication date: 18 August 2021

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

Full work available at URL: https://arxiv.org/abs/2101.05481

zbMATH Keywords

Boltzmann equationgradient flowlarge deviationsKac model

Mathematics Subject Classification ID

Large deviations (60F10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (8)

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 ⋮ Pathwise large deviations for the pure jump \(k\)-nary interacting particle systems ⋮ Generalized gradient structures for measure-valued population dynamics and their large-population limit ⋮ On the dynamics of dilute gases ⋮ Large deviations for a binary collision model: energy evaporation ⋮ Dynamical large deviations for homogeneous systems with long range interactions and the Balescu-Guernsey-Lenard equation

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