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The BGK equation as the limit of an $N$ particle system

Mathematical Physics 2020-07-03 v2 math.MP

Abstract

The spatially homogeneous BGK equation is obtained as the limit if a model of a many particle system, similar to Mark Kac's charicature of the spatially homogeneous Boltzmann equation.

Keywords

Cite

@article{arxiv.2002.08667,
  title  = {The BGK equation as the limit of an $N$ particle system},
  author = {Dawan Mustafa and Bernt Wennberg},
  journal= {arXiv preprint arXiv:2002.08667},
  year   = {2020}
}

Comments

Minor corrections and modifications only. This version is essentially the same as the published paper