Critical behavior of a one-dimensional fixed-energy stochastic sandpile - art. no. 056104

Citation
R. Dickman et al., Critical behavior of a one-dimensional fixed-energy stochastic sandpile - art. no. 056104, PHYS REV E, 6405(5), 2001, pp. 6104
Citations number
48
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6405
Issue
5
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200111)6405:5<6104:CBOAOF>2.0.ZU;2-1
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 c ontinuous transition to an absorbing state at a critical value of the parti cle density, and exhibits the hallmarks of an absorbing-state phase transit ion, including finite-size scaling. Critical exponents are obtained from ex tensive simulations, which treat stationary and transient properties, and a n associated interface representation. These exponents characterize the uni versality class of an absorbing-state phase transition with a static conser ved density in one dimension; they differ from those expected at a linear-i nterface depinning transition in a medium with point disorder, and from tho se of directed percolation.