A simple sandpile model of active-absorbing state transitions

Details A simple sandpile model of active-absorbing state transitions A simple sandpile model of active-absorbing state transitions

2004-05-04

arxiv.org/abs/cond-mat/0405050v2

Phys. Rev. E 72, 017105 (2005)

Physics

Condensed Matter

Statistical Mechanics

Revised version. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.72.017105

We study a simple sandpile model of active-absorbing state transitions in which a particle can hop out of a site only if the number of particles at that site is above a certain threshold. We show that the active phase has product measure whereas nontrivial correlations are found numerically in the absorbing phase. It is argued that the system relaxes to the latter phase slower than exponentially. The critical behavior of this model is found to be different from that of the other known universality classes.

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