3 research outputs found
Fixed-Energy Sandpiles Belong Generically to Directed Percolation
Fixed-energy sandpiles with stochastic update rules are known to exhibit a
nonequilibrium phase transition from an active phase into infinitely many
absorbing states. Examples include the conserved Manna model, the conserved
lattice gas, and the conserved threshold transfer process. It is believed that
the transitions in these models belong to an autonomous universality class of
nonequilibrium phase transitions, the so-called Manna class. Contrarily, the
present numerical study of selected (1+1)-dimensional models in this class
suggests that their critical behavior converges to directed percolation after
very long time, questioning the existence of an independent Manna class.Comment: article (4 pages, 9 eps figures) + Supplement (8 pages, 9 eps
figures); Phys. Rev. Lett. 201
Conserved mass models with stickiness and chipping
We study a chipping model in one dimensional periodic lattice with continuous
mass, where a fixed fraction of the mass is chipped off from a site and
distributed randomly among the departure site and its neighbours; the remaining
mass sticks to the site. In the asymmetric version, the chipped off mass is
distributed among the site and the right neighbour, whereas in the symmetric
version the redistribution occurs among the two neighbours. The steady state
mass distribution of the model is obtained using a perturbation method for both
parallel and random sequential updates. In most cases, this perturbation theory
provides a steady state distribution with reasonable accuracy.Comment: 17 pages, 4 eps figure