Volume 60, Number 3, November I 2002
|Page(s)||337 - 341|
|Published online||01 October 2002|
Remarks on non-Hamiltonian statistical mechanics: Lyapunov exponents and phase-space dimensionality loss
Department of Applied Science, University
of California at Davis/Livermore and Lawrence Livermore
National Laboratory - Livermore, CA 94551-7808, USA
2 Institute for Experimental Physics, University of Vienna Boltzmanngasse 5, Vienna A-1090, Austria
3 Department of Physics, Keio University - 4-1-1 Hiyoshi Kohoku-ku, Yokohama 223-8521, Japan
4 Center for Theoretical Physics, Sloane Physics Laboratory, Yale University New Haven, CN 06520-8120, USA
Accepted: 20 August 2002
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.
PACS: 05.20.-y – Classical statistical mechanics / 05.45.Df – Fractals / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EDP Sciences, 2002
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