Rigorous derivation of a ternary Boltzmann equation for a classical system of particles

In this paper, we present a rigorous derivation of a new kinetic equation describing the limiting behavior of a classical system of particles with three particle elastic instantaneous interactions, which are modeled using a non-symmetric version of a ternary distance. The ternary collisional operato...

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Bibliographic Details
Published in:arXiv.org 2021-08
Main Authors: Ampatzoglou, Ioakeim, Pavlovic, Natasa
Format: Article
Language:English
Subjects:
Boltzmann transport equation
Derivation
Kinetic equations
Mathematical analysis
Particle interactions
Online Access:Get full text
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Summary:In this paper, we present a rigorous derivation of a new kinetic equation describing the limiting behavior of a classical system of particles with three particle elastic instantaneous interactions, which are modeled using a non-symmetric version of a ternary distance. The ternary collisional operator we derive can be seen as the first step towards obtaining a toy model for a non-ideal gas where higher order interactions are taken into account.
ISSN:2331-8422
DOI:10.48550/arxiv.1903.04279