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arxiv: cond-mat/0412322 · v3 · submitted 2004-12-13 · ❄️ cond-mat.stat-mech

Nonuniversal exponents in sandpiles with stochastic particle number transfer

classification ❄️ cond-mat.stat-mech
keywords criticaldensityexponentsnumbersandpilesactiveactive-absorbingargument
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We study fixed density sandpiles in which the number of particles transferred to a neighbor on relaxing an active site is determined stochastically by a parameter $p$. Using an argument, the critical density at which an active-absorbing transition occurs is found exactly. We study the critical behavior numerically and find that the exponents associated with both static and time-dependent quantities vary continuously with $p$.

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