Anomalous Behavior of the Contact Process with Aging
Abstract
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, α=1, we observe a rich set of behaviors: depending on the process parameters, the relaxation to the stationary state proceeds as 1/ t or via a power law with a nonuniversal exponent. Simulation results suggest that for 0<α<1, the absorbing-state phase transition is in the universality class of directed percolation.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.