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 language | English |
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Article number | 056104 |
Pages (from-to) | 1-7 |
Journal | Physical Review E |
Volume | 64 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2001 |
MoE publication type | A1 Journal article-refereed |