期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 517, 期 -, 页码 422-430出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2018.11.032
关键词
Diffusive epidemic process; Non-equilibrium phase transition; Universality class
资金
- CNPq
- CAPES
- Alagoas State agency FAPEAL
- DCR/FAPEAL/CNPq project
We investigate the critical behavior of a stochastic lattice model describing the hopping of two species that undergo reactions B -> A and A + B -> 2B. We simulate the model defined on a 3D lattice and determine the threshold of the absorbing phase transition to the state at which species B is extinct. Using steady state and short-time dynamics simulations, we calculate the order parameter, order parameter fluctuations, correlation length and their critical exponents. We focus in the case of species A diffusing much faster than species B. We did not find signatures of a first-order transition that has been conjectured in the literature. We report a continuous transition with the perpendicular correlation exponent nu(perpendicular to)approximate to 0.61(6), in agreement with nu(perpendicular to) = 2/D. Also, for this diffusion regime, we estimate beta/nu(perpendicular to) = 1.48, very close to the E expansion prediction beta/nu(perpendicular to) = D-epsilon/8/2 (epsilon = 4 - D) for the regime of equally diffusing particles. (C) 2018 Elsevier B.V. All rights reserved.
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