Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2002-02-14
Phys. Rev. E 65, 051204 (2002)
Nonlinear Sciences
Chaotic Dynamics
14 pages, 9 figures
Scientific paper
10.1103/PhysRevE.65.051204
We study the stationary nonequilibrium states of N point particles moving under the influence of an electric field E among fixed obstacles (discs) in a two dimensional torus. The total kinetic energy of the system is kept constant through a Gaussian thermostat which produces a velocity dependent mean field interaction between the particles. The current and the particle distribution functions are obtained numerically and compared for small E with analytic solutions of a Boltzmann type equation obtained by treating the collisions with the obstacles as random independent scatterings. The agreement is surprisingly good for both small and large N. The latter system in turn agrees with a self consistent one particle evolution expected to hold in the limit of N going to infinity.
Bonetto Federico
Daems David
Lebowitz Joel. L.
Ricci Valeria
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