Criticality of natural absorbing states

Details Criticality of natural absorbing states Criticality of natural absorbing states

2001-02-09

arxiv.org/abs/cond-mat/0102169v2

Phys.Rev.E 64, 031107 (2001)

Physics

Condensed Matter

Statistical Mechanics

6 pages

Scientific paper

10.1103/PhysRevE.64.031107

We study a recently introduced ladder model which undergoes a transition between an active and an infinitely degenerate absorbing phase. In some cases the critical behaviour of the model is the same as that of the branching annihilating random walk with $N\geq 2$ species both with and without hard-core interaction. We show that certain static characteristics of the so-called natural absorbing states develop power law singularities which signal the approach of the critical point. These results are also explained using random walk arguments. In addition to that we show that when dynamics of our model is considered as a minimum finding procedure, it has the best efficiency very close to the critical point.

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