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arxiv: nlin/0409018 · v1 · submitted 2004-09-08 · 🌊 nlin.CD

Universal decay of classical Loschmidt echo of neutrally stable but mixing dynamics

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keywords classicaldecaydeltaecholoschmidtmixinguniversalanalytical
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We provide analytical and numerical evidence that classical mixing systems which lack exponential sensitivity on initial conditions, exhibit universal decay of Loschmidt echo which turns out to be a function of a single scaled time variable delta^(2/5)t, where delta is the strength of perturbation. The role of dynamical instability and entropy production is discussed.

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