Computation of entropy increase for Lorentz gas and hard disks

2006/05/24 by Maurice Courbage, Courbage, Maurice, Seyed Majid Saberi Fathi +1
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math.DS

paper · pdf · doi:10.48550/arxiv.cond-mat/0605610

arxiv created 2006/05/24 · arxiv updated 2009/12/01

Abstract

Entropy functionals are computed for non-stationary distributions of particles of Lorentz gas and hard disks. The distributions consisting of beams of particles are found to have the largest amount of entropy and entropy increase. The computations show exponentially monotonic increase during initial time of rapid approach to equilibrium. The rate of entropy increase is bounded by sums of positive Lyapounov exponents.

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