Large deviations for a binary collision model: energy evaporation

Large deviations for a binary collision model: energy evaporation

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.

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Veröffentlicht in:Mathematics in Engineering 2023, Vol.5 (1), p.1-12
Hauptverfasser: Basile, Giada, Benedetto, Dario, Caglioti, Emanuele, Bertini, Lorenzo
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
boltzmann equation
discrete energy model
Energy conservation
kac model
large deviations
violation of energy conservation
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Beschreibung
Zusammenfassung: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.
ISSN:2640-3501
2640-3501
DOI:10.3934/mine.2023001