Critical exponents of the pair contact process with diffusion
نویسندگان
چکیده
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...
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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...
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The phase transition of the one-dimensional diffusive pair contact process is investigated by N cluster mean-field approximations and high precision simulations. The N=3,4 cluster approximations exhibit smooth transition line to absorbing state by varying the diffusion rate D with beta(2)=2 mean-field order parameter exponent of the pair density. This contradicts with former N=2 results, where ...
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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...
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ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2012
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2012/03/p03009