Anomalous behavior of the contact process with aging.
The effect of power-law aging on a contact process is studied by simulation and using a mean-field approach. The introduced type of aging accounts for, e.g., the growth of the virus fitness (HIV infection). 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.
Dorogovtsev
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SN
Departamento de Física and Centro de Física do Porto, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal. sdorogov@fc.up.pt
Mendes
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JF