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• W2300318269 abstract "We present an analytical and numerical study of the parking lot model (PLM) of granular relaxation and make a connection to the aging dynamics of dense colloids. As we argue, the PLM is a Kinetically Constrained Model which features astronomically large equilibration times and displays a characteristic aging behavior on all observable time scales. The density of parked cars displays quasi-equilibrium Gaussian fluctuations interspersed by increasingly rare intermittent events, quakes, which can lead to an increase of the density to new record values. Defining active clusters as the shortest domains of parked cars which must be rearranged to allow further insertions, we find that their typical length grows logarithmically with time for low enough temperatures and show how the number of active clusters on average gradually decreases as the system approaches equilibrium. We further characterize the aging process in terms of the statistics of the record-sized fluctuations in the interstitial free volume which lead to quakes and show that quakes are uncorrelated and that they can be approximately described as a Poisson process in logarithmic time." @default.
• W2300318269 created "2016-06-24" @default.
• W2300318269 creator A5075623848 @default.
• W2300318269 creator A5079674772 @default.
• W2300318269 date "2016-06-27" @default.
• W2300318269 modified "2023-10-16" @default.
• W2300318269 title "Record dynamics in the parking-lot model" @default.
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• W2300318269 doi "https://doi.org/10.1103/physreve.93.062141" @default.
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