Stationary and dynamical critical behavior of the three-dimensional Diffusive Epidemic Process

C. Argolo, V. Tenório and M.L. Lyra

Physica A: Statistical Mechanics and its Applications, 2019, vol. 517, issue C, 422-430

Abstract: 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 ν⊥≈0.61(6), in agreement with ν⊥=2∕D. Also, for this diffusion regime, we estimate β∕ν⊥=1.48, very close to the ϵ expansion prediction β∕ν⊥=D−ε∕82 (ε=4−D) for the regime of equally diffusing particles.

Keywords: Diffusive epidemic process; Non-equilibrium phase transition; Universality class (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:517:y:2019:i:c:p:422-430

DOI: 10.1016/j.physa.2018.11.032

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