Coarse-grained entropy and information dimension of dynamical systems: The driven Lorentz gas

László Mátyás, T. Tél, J. Vollmer

Research output: Contribution to journalArticle

Abstract

We study the resolution dependence of the steady-state saturation values of coarse-grained entropies characterizing general dynamical systems. For dissipative maps they are proportional to the information codimension of the chaotic attractor. Thus, they provide a highly accurate method for determining the information dimension and related characteristics of the dynamical system. This general result is demonstrated for the field-driven Lorentz gas. In the discussion, we take the results on the resolution dependence of the entropy as the starting point to revisit different approaches to define thermodynamic entropy production for transport processes in dynamical systems, and discuss the role of local equilibrium in this enterprise.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume69
Issue number1
DOIs
Publication statusPublished - Jan 1 2004

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Lorentz gas
Lorentz Gas
dynamical systems
Dynamical system
Entropy
entropy
Local Equilibrium
Transport Processes
Entropy Production
Chaotic Attractor
Codimension
Saturation
Thermodynamics
Directly proportional
saturation
thermodynamics

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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