Computation of entropy increase for Lorentz gas and hard disks

Computation of entropy increase for Lorentz gas and hard disks

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in nonlinear science & numerical simulation 2008-03, Vol.13 (2), p.444-455
Hauptverfasser: Courbage, M., Saberi Fathi, S.M.
Format: Artikel
Sprache:eng
Schlagworte:
Chaotic Dynamics
Condensed Matter
Dynamical Systems
Entropy
H-theorem
Hard disks
Lorentz gas
Lyapounov exponents
Mathematics
Nonlinear Sciences
Physics
Statistical Mechanics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2006.05.007