Record Dynamics in the Parking Lot Model

Paolo Sibani, Stefan Boettcher

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Abstract

We study the aging dynamics in the parking lot model of granular relaxation with extensive numerical simulations. Our results reveal the log-Poisson statistics in the progression of intermittent events that lead to ever slower increases in the density. Defining clusters as domains of parked cars which must be re-arranged to reach new records in density, we find that their length-scale grows logarithmically with time for low enough temperatures. We further characterize the aging process in terms of the statistics of fluctuations in the interstitial free volume that shows a clear separation between quasi-equilibrium Gaussian fluctuations and the record-sized events.
Original languageEnglish
Article number062141
JournalPhysical Review E
Volume93
Number of pages8
ISSN2470-0045
DOIs
Publication statusPublished - 12. Mar 2016

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