Critical behavior of a one-dimensional fixed-energy stochastic sandpile

R. Dickman, M. Alava, M.A. Muños, J. Peltola, A. Vespignani, S. Zapperi

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Abstract

We study a one-dimensional fixed-energy version (that is, with no input or loss of particles) of Manna’s stochastic sandpile model. The system has a continuous transition to an absorbing state at a critical value of the particle density, and exhibits the hallmarks of an absorbing-state phase transition, including finite-size scaling. Critical exponents are obtained from extensive simulations, which treat stationary and transient properties, and an associated interface representation. These exponents characterize the universality class of an absorbing-state phase transition with a static conserved density in one dimension; they differ from those expected at a linear-interface depinning transition in a medium with point disorder, and from those of directed percolation.
Original languageEnglish
Article number056104
Pages (from-to)1-7
JournalPhysical Review E
Volume64
Issue number5
DOIs
Publication statusPublished - 2001
MoE publication typeA1 Journal article-refereed

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