Contents Online
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: https://dx.doi.org/10.4310/CMS.2007.v5.n5.a8
Author
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
Published 1 January 2007