Driven Pair Contact Process with Diffusion

Abstract

The pair contact process with diffusion (PCPD) has been recently investigated extensively, but its critical behavior is not yet clearly established. By introducing biased diffusion, we show that the external driving is relevant and the driven PCPD exhibits a mean-field-type critical behavior even in one dimension. In systems which can be described by a single-species bosonic field theory, the Galilean invariance guarantees that the driving is irrelevant. The well-established directed percolation (DP) and parity conserving (PC) classes are such examples. This leads us to conclude that the PCPD universality class should be distinct from the DP or PC class. Moreover, it implies that the PCPD is generically a multi-species model and a field theory of two species is suitable for proper description.

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• Universality classes of absorbing phase transitions in generic branching-annihilating particle systems
• Nonequilibrium Phase Transitions into Absorbing States: Focused around the pair contact process with diffusion
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• Out of equilibrium stationary states, percolation, and sub-critical instabilities in a fully non conservative system
• One-dimensional annihilating random walk with long-range interaction
• A coupled two-species model for the pair contact process with diffusion
• Critical Study on the Absorbing Phase Transition in a Four-State Predator-Prey Model in One Dimension
• Absorbing-state phase transitions with extremal dynamics
• Generating Function for Particle-Number Probability Distribution in Directed Percolation
• Universality-class crossover by a nonorder field introduced to the pair contact process with diffusion
• How to experimentally probe universal features of absorbing phase transitions using steady state