منابع مشابه
Pair Contact Process with Diffusion: Field Theory
– We elucidate the mechanism underlying the continuous nonequilibrium phase transition of the Pair Contact Process with Diffusion (PCPD). We compute its scaling exponents to second order in an ε-expansion around the upper critical dimension dc = 2 within a simple functional renormalization group (RG) approach. In particular, we establish that the PCPD is not in the directed percolation universa...
متن کاملMoment ratios for the pair-contact process with diffusion.
We study the continuous absorbing-state phase transition in the one-dimensional pair contact process with diffusion (PCPD). In previous studies [Dickman and de Menezes, Phys. Rev. E 66, 045101(R) (2002)], the critical point moment ratios of the order parameter showed anomalous behavior, growing with system size rather than taking universal values, as expected. Using the quasistationary simulati...
متن کاملThe non-equilibrium phase transition of the pair-contact process with diffusion
The pair-contact process 2A → 3A, 2A → ∅ with diffusion of individual particles is a simple branching-annihilation processes which exhibits a phase transition from an active into an absorbing phase with an unusual type of critical behaviour which had not been seen before. Although the model has attracted considerable interest during the past few years it is not yet clear how its critical behavi...
متن کاملPair contact process with diffusion: failure of master equation field theory.
We demonstrate that the "microscopic" field theory representation, directly derived from the corresponding master equation, fails to adequately capture the continuous nonequilibrium phase transition of the pair contact process with diffusion (PCPD). The ensuing renormalization group (RG) flow equations do not allow for a stable fixed point in the parameter region that is accessible by the physi...
متن کاملThe phase transition of the diffusive pair contact process revisited
The restricted diffusive pair contact process 2A → 3A, 2A → ∅ (PCPD) and the classification of its critical behavior continues to be a challenging open problem of non-equilibrium statistical mechanics. Recently Kockelkoren and Chaté [Phys. Rev. Lett. 90, 125701 (2003)] suggested that the PCPD in one spatial dimension represents a genuine universality class of non-equilibrium phase transitions w...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2005
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.94.065701