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 the PC class. Moreover, it implies that the PCPD is generically a multispecies model and a field theory of two species is suitable for proper description.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 the PC class. Moreover, it implies that the PCPD is generically a multispecies model and a field theory of two species is suitable for proper description.

arXiv:cond-mat/0406606Physical Review LettersFeb 17, 200527 citations

Renormalization-group study of a hybrid driven diffusive system

Kevin E. Bassler, B. Schmittmann

We consider a d-dimensional stochastic lattice gas of interacting particles, diffusing under the influence of a short-ranged, attractive Ising Hamiltonian and a ``hybrid'' external field which is a superposition of a uniform and an annealed random drive, acting in orthogonal subspaces of dimensions one and m, respectively. Driven into a nonequilibrium steady state, the half-filled system phase segregates via a continuous transition at a field-dependent critical temperature. Using renormalization-group techniques, we show that its critical behavior falls into a new universality class with upper critical dimension ${\mathit{d}}_{\mathit{c}}$ =5-m, characterized by two distinct anisotropy exponents, which, like all other indices, are computed exactly to all orders in perturbation theory.We consider a d-dimensional stochastic lattice gas of interacting particles, diffusing under the influence of a short-ranged, attractive Ising Hamiltonian and a ``hybrid'' external field which is a superposition of a uniform and an annealed random drive, acting in orthogonal subspaces of dimensions one and m, respectively. Driven into a nonequilibrium steady state, the half-filled system phase segregates via a continuous transition at a field-dependent critical temperature. Using renormalization-group techniques, we show that its critical behavior falls into a new universality class with upper critical dimension ${\mathit{d}}_{\mathit{c}}$=5-m, characterized by two distinct anisotropy exponents, which, like all other indices, are computed exactly to all orders in perturbation theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsMay 1, 19945 citations

Field-theoretic approach to critical dynamics far from equilibrium

知司山田, Takao Ohta, Kyozi Kawasaki

Journal of Statistical PhysicsMar 1, 19778 citations

{\mathit{d}}_{\mathit{c}}

=5-m, characterized by two distinct anisotropy exponents, which, like all other indices, are computed exactly to all orders in perturbation theory.