Properties of Stationary Nonequilibrium States in the Thermostatted Periodic Lorentz Gas II: The many point particles system

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dc.creatorBonetto, F.
dc.creatorDaems, D.
dc.creatorLebowitz, J. L.
dc.creatorRicci, V.
dc.date2002-02-14
dc.date.accessioned2026-07-07T05:33:54Z
dc.date.available2026-07-07T05:33:54Z
dc.descriptionWe 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.
dc.description14 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/nlin/0202030
dc.identifierhttp://arxiv.org/abs/nlin/0202030
dc.identifierPhys. Rev. E 65, 051204 (2002)
dc.identifierdoi:10.1103/PhysRevE.65.051204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80168
dc.subjectChaotic Dynamics
dc.titleProperties of Stationary Nonequilibrium States in the Thermostatted Periodic Lorentz Gas II: The many point particles system
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