Revisiting the one-dimensional diffusive contact process

Abstract

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 $\varphi =4$ as the better estimate for the crossover exponent in agreement with computational simulations.

References in corpus (6)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Density Matrix Renormalization Group and Reaction-Diffusion Processes
• Quasi-stationary distributions for stochastic processes with an absorbing state
• Phenomenological Renormalization Group Methods
• Phase transition in conservative diffusive contact processes
• Study of universality crossover in the contact process

Cited by in corpus (1)

• Crossovers from parity conserving to directed percolation universality