A contact process with mobile disorder

作者：Dickman Ronald^*

来源：Journal of Statistical Mechanics: Theory and Experiment , 2009, 2009(08): P08016.

DOI：10.1088/1742-5468/2009/08/P08016

• critical exponents and amplitudes (theory)
• finite-size scaling
• phase transitions into absorbing states (theory)

I study the absorbing-state phase transition in the one-dimensional contact process with mobile disorder. In this model the dilution sites, though permanently inactive, diffuse freely, exchanging positions with the other sites, which host a basic contact process. Even though the disorder variables are not quenched, the critical behavior is affected: the critical exponents delta and z, the ratio beta/nu(perpendicular to) and the moment ratio m = <rho(2)>/rho(2) take values different from those of directed percolation, and appear to vary with the vacancy diffusion rate. While the survival probability starting from a single active seed follows the usual scaling, P(t) similar to t(-delta), at the critical point, the mean number of active sites and mean square spread grow more slowly than power laws.

• 出版日期2009-8