Revisiting the one-dimensional diffusive contact process

Details Revisiting the one-dimensional diffusive contact process Revisiting the one-dimensional diffusive contact process

2007-05-02

arxiv.org/abs/0705.0317v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1742-5468/2007/08/P08009

In this work we study the one-dimensional contact process with diffusion using two different approaches to research the critical properties of this model: the supercritical series expansions and finite-size exact solutions. With special emphasis we look to the multicritical point and its crossover exponent that characterizes the passage between DP and mean-field critical properties. This crossover occurs in the limit of infinite diffusion rate and our results pointed $\phi=4$ as the better estimate for the crossover exponent in agreement with computational simulations.

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