Rigorous derivation of a ternary Boltzmann equation for a classical system of particles
Analysis of PDEs
2022-03-01 v3 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1903.04279,
title = {Rigorous derivation of a ternary Boltzmann equation for a classical system of particles},
author = {Ioakeim Ampatzoglou and Natasa Pavlovic},
journal= {arXiv preprint arXiv:1903.04279},
year = {2022}
}
Comments
accepted in Comm. Math. Phys. 49 pages. arXiv admin note: text overlap with arXiv:2007.00446