Volume 35, Number 9, September III 1996
|Page(s)||659 - 664|
|Published online||01 September 2002|
Transient chaos: the origin of transport in driven systems
Institute for Theoretical Physics, Eötvös University,
H-1088 Budapest, Puskin u. 5-7, Hungary
2 Fachbereich Physik, Universität GH Essen - 45117 Essen, Germany
3 Institute of Physics, University of Basel - Klingelbergstr. 82, 4056 Basel, Switzerland
Accepted: 31 July 1996
In open Hamiltonian systems transport is governed by chaotic saddles which are low-dimensional if a single-particle description can be used. We show that in systems where the motion of the particle is biased towards one direction, the chaotic set is never space filling. Its escape rate splits into two parts: a) a term proportional to the square of the bias; b) a term also present in the non-driven case which vanishes in the large system limit. These general results are equivalent to previous ones on thermostatted systems if the systems have identical entropy production.
PACS: 05.45.+b – Theory and models of chaotic systems / 05.20.-y – Statistical mechanics / 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes
© EDP Sciences, 1996
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