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.
Keywords
Manna's stochastic sandpile model, particle density, absorbing-state phase transition, critical behavior
Subject Categories
Phase transformations (Statistical physics), Stochastic models
Disciplines
Physics
Publisher
American Physical Society
Publication Date
11-1-2001
Rights Information
©2001 American Physical Society
Rights Holder
American Physical Society
Permanent URL
Recommended Citation
Dickman, R; Alava, M; Munoz, M A.; Peltola, J; Vespignani, A; and Zapperi, S, "Critical behavior of a one-dimensional fixed-energy stochastic sandpile" (2001). Physics Faculty Publications. Paper 198. http://hdl.handle.net/2047/d20002158
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Notes
Originally published in Physical Review E, v.64 no.5 (2001), 56104. DOI:10.1103/PhysRevE.64.056104. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.