Properties of Stationary Nonequilibrium States in the Thermostatted Periodic Lorentz Gas I: The One Particle System

被引：0
|
作者：
F. Bonetto
D. Daems
J. L. Lebowitz
机构：
[1] Rutgers University,Department of Mathematics
[2] Rutgers University,Department of Mathematics
[3] Université Libre de Bruxelles,Center for Nonlinear Phenomena and Complex Systems
来源：
Journal of Statistical Physics | 2000年 / 101卷
关键词：
thermostatted Lorentz gas; steady state current; smoothness; regularity; symbolic dynamics;
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学科分类号：
摘要：
We study numerically and analytically the properties of the stationary state of a particle moving under the influence of an electric field E in a two dimensional periodic Lorentz gas with the energy kept constant by a Gaussian thermostat. Numerically the current appears to be a continuous function of E whose derivative varies very irregularly, possibly in a discontinuous manner. We argue for the non differentiability of the current as a function of E utilizing a symbolic description of the dynamics based on the discontinuities of the collision map. The decay of correlations and the behavior of the diffusion constant are also investigated.
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页码：35 / 60
页数：25
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