Fixed-Energy Sandpiles Belong Generically to Directed Percolation

Abstract

Fixed-energy sandpiles with stochastic update rules are known to exhibit a nonequilibrium phase transition from an active phase into infinitely many absorbing states. Examples include the conserved Manna model, the conserved lattice gas, and the conserved threshold transfer process. It is believed that the transitions in these models belong to an autonomous universality class of nonequilibrium phase transitions, the so-called Manna class. Contrarily, the present numerical study of selected (1+1)-dimensional models in this class suggests that their critical behavior converges to directed percolation after very long time, questioning the existence of an independent Manna class.

article (4 pages, 9 eps figures) + Supplement (8 pages, 9 eps figures); Phys. Rev. Lett. 2012

References in corpus (3)

• Confirming and extending the hypothesis of universality in sandpiles
• How to discriminate easily between Directed-percolation and Manna scaling
• Multicritical behavior of the diluted contact process

Cited by in corpus (11)

• An exact mapping of the stochastic field theory for Manna sandpiles to interfaces in random media
• Density relaxation in conserved Manna sandpiles
• Persistence as Order Parameter in Generalized Pair Contact Process with Diffusion
• Activity, diffusion, and correlations in a two-dimensional conserved stochastic sandpile
• Out of equilibrium stationary states, percolation, and sub-critical instabilities in a fully non conservative system
• Crossover from rotational to stochastic sandpile universality in the random rotational sandpile model
• Restricted Exclusion Processes without Particle Conservation Flows to Directed Percolation
• Self-organised criticality in stochastic sandpiles: Connection to directed percolation
• Absorbing phase transitions in a non-conserving sandpile model
• Multi-critical absorbing phase transition in a class of exactly solvable models
• Multi-chain models of Conserved Lattice Gas