Nonuniversal exponents in sandpiles with stochastic particle number transfer

Abstract

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 $p$.

Some parts rewritten, results unchanged. To appear in Europhys. Lett

References in corpus (6)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Absorbing-state phase transitions in fixed-energy sandpiles
• Generic Sandpile Models Have Directed Percolation Exponents
• A simple sandpile model of active-absorbing state transitions
• Avalanche Behavior in an Absorbing State Oslo Model
• Generic slow relaxation in a stochastic sandpile

Cited by in corpus (2)

• Block renormalization study on the nonequilibrium chiral Ising model
• Coarsening Dynamics of Nonequilibrium Chiral Ising Models