Record Dynamics in the Parking Lot Model

Paolo Sibani, Stefan Boettcher

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Abstrakt

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.
OriginalsprogEngelsk
Artikelnummer062141
TidsskriftPhysical Review E
Vol/bind93
Antal sider8
ISSN2470-0045
DOI
StatusUdgivet - 12. mar. 2016

Bibliografisk note

8 pages

Emneord

  • cond-mat.soft
  • cond-mat.dis-nn
  • cond-mat.stat-mech

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