Phase transition in conservative diffusive contact processes

Abstract

We determine the phase diagrams of conservative diffusive contact processes by means of numerical simulations. These models are versions of the ordinary diffusive single-creation, pair-creation and triplet-creation contact processes in which the particle number is conserved. The transition between the frozen and active states was determined by studying the system in the subcritical regime and the nature of the transition, whether continuous or first order, was determined by looking at the fractal dimension of the critical cluster. For the single-creation model the transition remains continuous for any diffusion rate. For pair- and triplet-creation models, however, the transition becomes first order for high enough diffusion rate. Our results indicate that in the limit of infinite diffusion rate the jump in density equals 2/3 for the pair-creation model and 5/6 for the triplet-creation model.

References in corpus (3)

• Nonuniversality in the pair contact process with diffusion
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• Robustness of first-order phase transitions in one-dimensional long-range contact processes
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• Effect of diffusion in one-dimensional discontinuous absorbing phase transitions
• Revisiting the one-dimensional diffusive contact process
• A supercritical series analysis for the generalized contact process with diffusion
• A comparative study for the pair-creation contact process using series expansions
• Accuracy of the cluster-approximation method in a nonequilibrium model