Fractality of the non-equilibrium stationary states of open volume-preserving systems: I. Tagged particle diffusion

Details Fractality of the non-equilibrium stationary states of open volume-preserving systems: I. Tagged particle diffusion Fractality of the non-equilibrium stationary states of open volume-preserving systems: I. Tagged particle diffusion

2009-03-20

arxiv.org/abs/0903.3476v1

Phys. Rev. E 80, 021126 (2009) [12 pages]

Physics

Condensed Matter

Statistical Mechanics

First of two papers. 14 double column pages, 7 figures

Scientific paper

10.1103/PhysRevE.80.021126

Deterministic diffusive systems such as the periodic Lorentz gas, multi-baker map, as well as spatially periodic systems of interacting particles, have non-equilibrium stationary states with fractal properties when put in contact with particle reservoirs at their boundaries. We study the macroscopic limits of these systems and establish a correspondence between the thermodynamics of the macroscopic diffusion process and the fractality of the stationary states that characterize the phase-space statistics. In particular the entropy production rate is recovered from first principles using a formalism due to Gaspard [J. Stat. Phys. 88, 1215 (1997)]. This article is the first of two; the second article considers the influence of a uniform external field on such systems.

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