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• W2140557823 abstract "We consider the effect of noise on the dynamics generated by volume-preserving maps on a d-dimensional torus. The quantity we use to measure the irreversibility of the dynamics is the dissipation time. We focus on the asymptotic behaviour of this time in the limit of small noise. We derive universal lower and upper bounds for the dissipation time in terms of various properties of the map and its associated propagators: spectral properties, local expansivity, and global mixing properties. We show that the dissipation is slow for a general class of non-weakly-mixing maps; on the opposite, it is fast for a large class of exponentially mixing systems which include uniformly expanding maps and Anosov diffeomorphisms." @default.
• W2140557823 created "2016-06-24" @default.
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• W2140557823 date "2004-05-08" @default.
• W2140557823 modified "2023-09-25" @default.
• W2140557823 title "Dissipation time and decay of correlations" @default.
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• W2140557823 doi "https://doi.org/10.1088/0951-7715/17/4/018" @default.
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