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On a class of Nonequilibrium Dissipative Systems

Abstract : We consider dissipative, out-of-equilibrium, and low density systems made of many interacting classical particles. In a first part, we study probabilistic ballistic annihilation, where particles have a ballistic trajectory except upon binary contact where they annihilate with probability p and undergo an elastic scattering with probability (1-p). We establish for this system with no conservation law a hydrodynamic description that stems from kinetic theory. The linear stability analysis of the homogeneous state shows then that the amplification of the fluctuations by the dynamics is a transient effect. In a second part, we present a mesoscopic model that reproduces a spontaneous symmetry breaking observed in some experiments on granular gases.
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Contributor : Francois Coppex <>
Submitted on : Monday, April 11, 2005 - 3:30:04 PM
Last modification on : Tuesday, July 16, 2019 - 1:13:13 AM
Long-term archiving on: : Friday, September 14, 2012 - 12:35:30 PM


  • HAL Id : tel-00008990, version 1


François Coppex. On a class of Nonequilibrium Dissipative Systems. Data Analysis, Statistics and Probability []. University of Geneva, 2005. English. ⟨tel-00008990⟩



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