Remarks on non-Hamiltonian statistical mechanics: Lyapunov exponents and phase-space dimensionality loss

Wm G. Hoover, H. A. Posch, K. Aoki, D. Kusnezov

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The dissipation associated with nonequilibrium flow processes is reflected by the formation of strange attractor distributions in phase space. The information dimension of these attractors is less than that of the equilibrium phase space, corresponding to the extreme rarity of nonequilibrium states. Here we take advantage of a simple model for heat conduction to demonstrate that the nonequilibrium dimensionality loss can definitely exceed the number of phase-space dimensions required to thermostat an otherwise Hamiltonian system.

Original languageEnglish
Pages (from-to)337-341
Number of pages5
JournalEurophysics Letters
Volume60
Issue number3
DOIs
Publication statusPublished - 2002 Nov 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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