Production rate of the coarse-grained Gibbs entropy and the Kolmogorov-Sinai entropy: a real connection?
We discuss the connection between the Kolmogorov-Sinai entropy hKS and the production rate of the coarse-grained Gibbs entropy rG. 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 hKS, while rG is a quantity related to short-time features of a system.
Falcioni
Massimo
M
Dipartimento di Fisica, Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, Università di Roma La Sapienza, P.le A.Moro 2, Rome 00185, Italy.
Palatella
Luigi
L
Vulpiani
Angelo
A