Communications in Mathematical Sciences

Volume 5 (2007)

Supp. 1

Supplemental Issue 1

Non Markovian Behavior of the Boltzmann-Grad Limit of Linear Stochastic Particle Systems

Pages: 95 – 105

DOI: http://dx.doi.org/10.4310/CMS.2007.v5.n5.a8

Author

Valeria Ricci

Abstract

We will review some results which illustrate how the distribution of obstacles and the shape of the characteristic curves influence the convergence of the probability density of linear stochastic particle systems to the one particle probability density associated with a Markovian process in the Boltzmann-Grad asymptotics.

Keywords

Linear Boltzmann equation; Lorentz gas; lattice gas; force field; non Markovian

2010 Mathematics Subject Classification

60K35, 82C21, 82C40

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