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.
Critical behavior of a one-dimensional fixed-energy stochastic sandpile / R. Dickman, M. Alava, M.A. Muñoz, J. Peltola, A. Vespignani, S. Zapperi. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 64:5(2001 Nov), pp. 056104.1-056104.7.
Critical behavior of a one-dimensional fixed-energy stochastic sandpile
S. Zapperi
2001
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.File | Dimensione | Formato | |
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