Universality in the pair contact process with diffusion

Abstract

The pair contact process with diffusion is studied by means of multispin Monte Carlo simulations and density matrix renormalization group calculations. Effective critical exponents are found to behave nonmonotonically as functions of time or of system length and extrapolate asymptotically towards values consistent with the directed percolation universality class. We argue that an intermediate regime exists where the effective critical dynamics resembles that of a parity conserving process.

8 Pages, 9 figures, final version as published

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Cited by in corpus (20)

• The density-matrix renormalization group
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Towards Classification of Phase Transitions in Reaction--Diffusion Models
• Novel universality class of absorbing transitions with continuously varying critical exponents
• Pair Contact Process with Diffusion: Failure of Master Equation Field Theory
• The phase transition of the diffusive pair contact process revisited
• Driven Pair Contact Process with Diffusion
• Finite scale singularity in the renormalization group flow of a reaction-diffusion system
• Phase transitions and correlations in the bosonic pair contact process with diffusion: Exact results
• Crossover from the pair contact process with diffusion to directed percolation
• Universality class of the pair contact process with diffusion
• Cluster mean-field approximations with the coherent-anomaly-method analysis for the driven pair contact process with diffusion
• Generating function, path integral representation, and equivalence for stochastic exclusive particle systems
• Critical decay exponent of the pair contact process with diffusion
• Nonequilibrium Phase Transitions into Absorbing States: Focused around the pair contact process with diffusion
• Crossover from the parity-conserving pair contact process with diffusion to other universality classes
• Novel Transition to fully absorbing state without long-range spatial order in Directed Percolation class
• Critical exponents of the pair contact process with diffusion
• Universality-class crossover by a nonorder field introduced to the pair contact process with diffusion
• Universality of the triplet contact process with diffusion