Entropy Production, Fractals, and Relaxation to Equilibrium

Details Entropy Production, Fractals, and Relaxation to Equilibrium Entropy Production, Fractals, and Relaxation to Equilibrium

2000-03-06

arxiv.org/abs/nlin/0003012v2

Phys. Rev. Lett. Volume 85, Issue 8, pp. 1606-1609

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevLett.85.1606

The theory of entropy production in nonequilibrium, Hamiltonian systems, previously described for steady states using partitions of phase space, is here extended to time dependent systems relaxing to equilibrium. We illustrate the main ideas by using a simple multibaker model, with some nonequilibrium initial state, and we study its progress toward equilibrium. The central results are (i) the entropy production is governed by an underlying, exponentially decaying fractal structure in phase space, (ii) the rate of entropy production is largely independent of the scale of resolution used in the partitions, and (iii) the rate of entropy production is in agreement with the predictions of nonequilibrium thermodynamics.

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