6533b7d4fe1ef96bd1263349

RESEARCH PRODUCT

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

Valeria Ricci

subject

Particle systemPhysicsLorentz gas82C21Applied MathematicsGeneral Mathematicsforce field82C40Markov processlattice gasForce field (chemistry)symbols.namesake60K35Boltzmann constantLinear Boltzmann equationsymbolsStatistical physicsnon MarkovianLinear boltzmann equation

description

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.

http://projecteuclid.org/euclid.cms/1175797799