Production rate of the coarse-grained Gibbs entropy and the Kolmogorov-Sinai entropy: a real connection?
Production rate of the coarse-grained Gibbs entropy and the Kolmogorov-Sinai entropy: a real connection?
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粗粒度吉布斯熵和柯尔莫哥洛夫-西奈熵的产生率：真正的联系？
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发表时间：
2004
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通讯作者：
A. Vulpiani
中科院分区：
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作者：
M. Falcioni;L. Palatella;A. Vulpiani
我们讨论了Kolmogorov-Sinai熵hKS和粗粒吉布斯熵rG的产生率之间的联系。详细的数值计算表明，（经常接受）识别的两个数量不持有系统的间歇性行为和/或非常不同的特征时间，并在系统中呈现伪混沌。其基本原因是hKS的渐近性质（相对于时间），而rG是与系统的短时特征相关的量。
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.