We discuss the connection between the Kolmogorov-Sinai entropy h KS and the production rate of the coarse-grained Gibbs entropy r G. Detailed numerical computations show that the (often-accepted) identification of the two quantities does not hold in systems with intermittent behavior and/or very different characteristic times and in systems presenting pseudochaos. The basic reason for this is in the asymptotic (with respect to time) nature of h KS, while r G is a quantity related to short-time features of a system. © 2005 The American Physical Society.
Production rate of the coarse-grained Gibbs entropy and the Kolmogorov-Sinai entropy: A real connection? / Falcioni, Massimo; Luigi, Palatella; Vulpiani, Angelo. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 71:1(2005), pp. 016118-1-016118-8. [10.1103/physreve.71.016118]
Production rate of the coarse-grained Gibbs entropy and the Kolmogorov-Sinai entropy: A real connection?
FALCIONI, Massimo;VULPIANI, Angelo
2005
Abstract
We discuss the connection between the Kolmogorov-Sinai entropy h KS and the production rate of the coarse-grained Gibbs entropy r G. Detailed numerical computations show that the (often-accepted) identification of the two quantities does not hold in systems with intermittent behavior and/or very different characteristic times and in systems presenting pseudochaos. The basic reason for this is in the asymptotic (with respect to time) nature of h KS, while r G is a quantity related to short-time features of a system. © 2005 The American Physical Society.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
