Finite scale singularity in the renormalization group flow of a reaction-diffusion system

Abstract

We study the nonequilibrium critical behavior of the pair contact process with diffusion (PCPD) by means of nonperturbative functional renormalization group techniques. We show that usual perturbation theory fails because the effective potential develops a nonanalyticity at a finite length scale: Perturbatively forbidden terms are dynamically generated and the flow can be continued once they are taken into account. Our results suggest that the critical behavior of PCPD can be either in the directed percolation or in a new (conjugated) universality class.

5 pages, 3 figures

References in corpus (7)

• Non-perturbative fixed point in a non-equilibrium phase transition
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Driven Pair Contact Process with Diffusion
• The phase transition of the diffusive pair contact process revisited
• Universality classes of the Kardar-Parisi-Zhang equation
• Universality class of the pair contact process with diffusion
• Critical exponents of the pair contact process with diffusion

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