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Universal decay of classical Loschmidt echo of neutrally stable but mixing dynamics
classification
🌊 nlin.CD
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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