A two-variable series for the contact process with diffusion

Details A two-variable series for the contact process with diffusion A two-variable series for the contact process with diffusion

2006-11-17

arxiv.org/abs/cond-mat/0611475v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

In this work we use the technique of the partial differential approximants to determine, from a pertubative supercritical series expansion for the ulimate survival probability, the critical line of the contact process model in one dimension with diffusion and estimate the value of the crossover exponent that characterizes the change of the critical behavior from the 1d directed percolation universality class to the mean-field directed percolation universality class. This crossover occurs in the limit of infinite diffusion rate.

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