English

Kolmogorov-Sinai entropy-rate vs. physical entropy

chao-dyn 2009-10-31 v1 Chaotic Dynamics

Abstract

This paper elucidates the connection between the KS entropy-rate kappa 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 kappa. The paper presents numerical confirmation of this connection for a number of chaotic symplectic maps, ranging from the simplest 2-dimensional ones to a 4-dimensional and strongly nonlinear map.

Keywords

Cite

@article{arxiv.chao-dyn/9806006,
  title  = {Kolmogorov-Sinai entropy-rate vs. physical entropy},
  author = {Vito Latora and Michel Baranger},
  journal= {arXiv preprint arXiv:chao-dyn/9806006},
  year   = {2009}
}

Comments

Email correspondence to [email protected] ; 4 pages, 7 eps figures, using REVTeX and BoxedEPS macros