Fractality of the nonequilibrium stationary states of open volume-preserving systems. I. Tagged particle diffusion

Felipe Barra, Pierre Gaspard, and Thomas Gilbert
Phys. Rev. E 80, 021126 – Published 27 August 2009

Abstract

Deterministic diffusive systems, such as the periodic Lorentz gas, multibaker map, as well as spatially periodic systems of interacting particles, have nonequilibrium 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 paper is the first of two; the second article considers the influence of a uniform external field on such systems.

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  • Received 20 March 2009

DOI:https://doi.org/10.1103/PhysRevE.80.021126

©2009 American Physical Society

Authors & Affiliations

Felipe Barra1, Pierre Gaspard2, and Thomas Gilbert2

  • 1Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla, 487-3 Santiago, Chile
  • 2Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, CP 231, Campus Plaine, B-1050 Brussels, Belgium

See Also

Fractality of the nonequilibrium stationary states of open volume-preserving systems. II. Galton boards

Felipe Barra, Pierre Gaspard, and Thomas Gilbert
Phys. Rev. E 80, 021127 (2009)

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Vol. 80, Iss. 2 — August 2009

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