Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1997-08-26
Nonlinear Sciences
Chaotic Dynamics
LaTeX, 14 pages, 1 TeX figure in the text
Scientific paper
10.1088/0951-7715/11/5/013
We assume that the properties of nonequilibrium stationary states of systems of particles can be expressed in terms of weighted orbital measures, i.e. through periodic orbit expansions. This allows us to derive the Onsager relations for systems of $N$ particles subject to a Gaussian thermostat, under the assumption that the entropy production rate is equal to the phase space contraction rate. Moreover, this also allows us to prove that the relevant transport coefficients are not negative. In the appendix we give an argument for the proper way of treating grazing collisions, a source of possible singularities in the dynamics.
Cohen Ezechiel G. D.
Rondoni Lamberto
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