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Research Article | Open Access

Large deviations for a binary collision model: energy evaporation

Giada Basile( ), Dario Benedetto, Emanuele Caglioti, Lorenzo Bertini
Dipartimento di Matematica, Università di Roma 'La Sapienza' P.le Aldo Moro 2, 00185 Roma, Italy
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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.

Keywords

Kac modelBoltzmann equationdiscrete energy modellarge deviationsviolation of energy conservation

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Mathematics in Engineering
Volume 5 Issue 1,
February 2023
Pages 1-12
DOI: 10.3934/mine.2023001

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Cite this article:
Basile G, Benedetto D, Caglioti E, et al. Large deviations for a binary collision model: energy evaporation. Mathematics in Engineering, 2023, 5(1): 1-12. https://doi.org/10.3934/mine.2023001

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Received: 29 September 2021
Revised: 24 November 2021
Accepted: 26 November 2021
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)