Universality of the contact process with random dilution

Details Universality of the contact process with random dilution Universality of the contact process with random dilution

2011-01-05

arxiv.org/abs/1101.1100v1

Marcelo M de Oliveira and Silvio C Ferreira J. Stat. Mech. (2008) P11001

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1742-5468/2008/11/P11001

We present quasi-stationary simulations of the two-dimensional contact process with quenched disorder included through the random dilution of a fraction of the lattice sites (these sites are not susceptible to infection). Our results strongly indicate that the static exponents are independent of the immunization fraction. In addition, the critical moment ratios $m=<\rho^2>/<\rho>^2$ deviate from the universal ratio $m=1.328$, observed for the non-dilluted system, to smaller values due to rare favorable regions which dominate the statistics.

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