We analyze the large deviations for a discrete energy Kac-like walk. In particular, we exhibit a path, with probability exponentially small in the number of particles, that looses energy.

Large deviations for a binary collision model: energy evaporation / Basile, Giada; Benedetto, Dario; Caglioti, Emanuele; Bertini, Lorenzo. - In: MATHEMATICS IN ENGINEERING. - ISSN 2640-3501. - 5:1(2023), pp. 1-12. [10.3934/mine.2023001]

Large deviations for a binary collision model: energy evaporation

Basile, Giada
;
Benedetto, Dario;Caglioti, Emanuele;Bertini, Lorenzo
2023

Abstract

We analyze the large deviations for a discrete energy Kac-like walk. In particular, we exhibit a path, with probability exponentially small in the number of particles, that looses energy.
2023
Kac model; Boltzmann equation; discrete energy model; large deviations; violation of energy conservation
01 Pubblicazione su rivista::01a Articolo in rivista
Large deviations for a binary collision model: energy evaporation / Basile, Giada; Benedetto, Dario; Caglioti, Emanuele; Bertini, Lorenzo. - In: MATHEMATICS IN ENGINEERING. - ISSN 2640-3501. - 5:1(2023), pp. 1-12. [10.3934/mine.2023001]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1604715
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