Temporal Behavior of the Conditional and Gibbs' Entropies
arXiv:cond-mat/0509649 · doi:10.1007/s10955-006-9181-0
Abstract
We study the temporal approach to equilibrium of the Gibbs' and conditional entropies for both invertible deterministic dynamics as well as non-invertible stochastic systems in the presence of white noise. The conditional entropy will either remain constant or monotonically increase to its maximum of zero. However, the Gibbs' entropy may have a variety of patterns of approach to its final value ranging from a monotone increase or decrease to an oscillatory approach. We have illustrated all of these behaviors using examples in which both entropy dynamics can be determined analytically.
arXiv comment15 pages, 5 figures
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