✦ LIBER ✦

Computation of entropy increase for Lorentz gas and hard disks

✍ Scribed by M. Courbage; S.M. Saberi Fathi

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 612 KB
Volume: 13
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2006.05.007

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✦ Synopsis

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.