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- W2317632767 abstract "Momentum diffusion is a widespread phenomenon in generic Hamiltonian systems. We show for the prototypical standard map that this implies weak ergodicity breaking for the superdiffusive transport in coordinate direction with an averaging-dependent quadratic and cubic increase of the mean-squared displacement (MSD), respectively. This is explained via integrated Brownian motion, for which we derive aging time dependent expressions for the ensemble-averaged MSD, the distribution of time-averaged MSDs, and the ergodicity breaking parameter. Generalizations to other systems showing momentum diffusion are pointed out." @default.
- W2317632767 created "2016-06-24" @default.
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- W2317632767 date "2014-10-31" @default.
- W2317632767 modified "2023-09-27" @default.
- W2317632767 title "Weak Ergodicity Breaking and Aging of Chaotic Transport in Hamiltonian Systems" @default.
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- W2317632767 doi "https://doi.org/10.1103/physrevlett.113.184101" @default.
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