Anomalous Behavior of the Contact Process with Aging

Details Anomalous Behavior of the Contact Process with Aging Anomalous Behavior of the Contact Process with Aging

2000-07-20

arxiv.org/abs/cond-mat/0007324v1

Phys. Rev. E 63, 046107 (2001).

Physics

Condensed Matter

Statistical Mechanics

4 pages revtex (twocolumn, psfig), 3 figures

Scientific paper

10.1103/PhysRevE.63.046107

The effect of power-law aging on a contact process is studied by simulation and using a mean-field approach. We find that the system may approach its stationary state in a nontrivial, nonmonotonous way. For the particular value of the aging exponent, $\alpha=1$, we observe a rich set of behaviors: depending on the process parameters, the relaxation to the stationary state proceeds as $1/\ln t$ or via a power law with a nonuniversal exponent. Simulation results suggest that for $0<\alpha<1$, the absorbing-state phase transition is in the universality class of directed percolation.

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