Large deviations for a binary collision model: energy evaporation

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

doi:10.3934/mine.2023001

Mathematics in Engineering

2023, Volume 5, Issue 1: 1-12. doi: 10.3934/mine.2023001

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Large deviations for a binary collision model: energy evaporation

Dipartimento di Matematica, Università di Roma 'La Sapienza' P.le Aldo Moro 2, 00185 Roma, Italy

Received: 29 September 2021 Revised: 24 November 2021 Accepted: 26 November 2021 Published: 04 January 2022

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.
- Kac model,
- Boltzmann equation,
- discrete energy model,
- large deviations,
- violation of energy conservation
Citation: Giada Basile, Dario Benedetto, Emanuele Caglioti, Lorenzo Bertini. Large deviations for a binary collision model: energy evaporation[J]. Mathematics in Engineering, 2023, 5(1): 1-12. doi: 10.3934/mine.2023001

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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.

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