Critical behavior of the absorbing transition of branching and annihilating bosonic random walkers. (12th August 2015)

• Record Type: Journal Article
• Authors: Argolo, C; Barros, Pedro H; Gleria, Iram; dos Anjos, Fabiana Carvalho; Lyra, M L
• Is Part Of: Journal of statistical mechanics. (2015:Aug.)
• Publication Date: 2015-08-12
• Subjects: 3; 3/030 -- 3/110; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/08/P08006
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: In this work, we investigate the critical behavior of a model describing the parity-conserving branching and annihilating process of random walkers. The model is simulated on a one dimensional lattice on which the sites can be occupied by multiple particles with a finite annhilation probability. We determine the threshold of the phase transition between the statistically stationary active state and the absorbing state. From steady-state simulations and a finite-size scaling analysis, we calculate the order-parameter, order-parameter fluctuations, and spacial correlation length critical exponents. Further, we follow the short-time critical relaxation to provide a set of relevant dynamical critical exponents. We check the validity of the hyperscaling relation for both sets of stationary and dynamical critical exponents. These are consistent with the BARW-PC universality class.