Kolmogorov-Sinai Entropy Rate versus Physical Entropy

Vito Latora and Michel Baranger
Phys. Rev. Lett. 82, 520 – Published 18 January 1999
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Abstract

We elucidate the connection between the Kolmogorov-Sinai entropy rate κ and the time evolution of the physical or statistical entropy S. For a large family of chaotic conservative dynamical systems including the simplest ones, the evolution of S(t) for far-from-equilibrium processes includes a stage during which S is a simple linear function of time whose slope is κ. We present numerical confirmation of this connection for a number of chaotic symplectic maps, ranging from the simplest two-dimensional ones to a four-dimensional and strongly nonlinear map.

  • Received 28 May 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.520

©1999 American Physical Society

Authors & Affiliations

Vito Latora* and Michel Baranger

  • Center for Theoretical Physics, Laboratory for Nuclear Sciences and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

  • *E-mail address: latora@ctp.mit.edu
  • E-mail address: baranger@ctp.mit.edu

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Vol. 82, Iss. 3 — 18 January 1999

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