Restricted sandpile revisited

2006/01/18 by Ronald Dickman, Dickman, Ronald
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #FOS: Physical sciences #Geological formations and processes #Soil and Unsaturated Flow #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.cond-mat/0601415

openalex publication_date 2006/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

I report large-scale Monte Carlo studies of a one-dimensional height-restricted stochastic sandpile using the quasistationary simulation method. Results for systems of up to 50 000 sites yield estimates for critical exponents that differ significantly from those obtained using smaller systems, but are consistent with recent predictions derived from a Langevin equation for stochastic sandpiles [Ramasco et al., Phys. Rev. E\bf 69, 045105(R) (2004)]. This suggests that apparent violations of universality in one-dimensional sandpiles are due to strong corrections to scaling and finite-size effects.

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