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arXiv · 1903.04279

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

Ioakeim Ampatzoglou·Natasa Pavlovic
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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.

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Ioakeim Ampatzoglou, Natasa Pavlovic. 2019-03-11. Rigorous derivation of a ternary Boltzmann equation for a classical system of particles. https://doi.org/10.1007/s00220-021-04202-y

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