Generic slow relaxation in a stochastic sandpile
Departamento de Física, ICEx, Universidade Federal de Minas
Gerais Caixa Postal 702, 30161-970 Belo Horizonte, Minas Gerais,
Corresponding author: email@example.com
Accepted: 14 November 2002
Simulations of a stochastic fixed-energy sandpile in one and two dimensions reveal slow relaxation of the order parameter, even far from the critical point. The decay of the activity is best described by a stretched-exponential form. The persistence probability (for a site not to have toppled up to time t) also exhibits stretched-exponential relaxation. The results suggest a connection between sandpile models and structural glasses.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.65.+b – Self-organized systems / 64.70.Pf – Glass transitions
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