title: Universality classes of the absorbing state transition in a system with interacting static and diffusive populations.
abstract: In this work, we study the critical behavior of a one-dimensional model that mimics the propagation of an epidemic process mediated by a density of diffusive individuals which can infect a static population upon contact. We simulate the above model on linear chains to determine the critical density of the diffusive population, above which the system achieves a statistically stationary active state, as a function of two relevant parameters related to the average lifetimes of the diffusive and nondiffusive populations. A finite-size scaling analysis is employed to determine the order parameter and correlation length critical exponents. For high-recovery rates, the critical exponents are compatible with the usual directed percolation universality class. However, in the opposite regime of low-recovery rates, the diffusion is a relevant mechanism responsible for the propagation of the disease and the absorbing state phase transition is governed by a distinct set of critical exponents.
authors.affiliation: Instituto Federal de Ciência e Tecnologia do Estado de Alagoas, 57020-510 Maceió, AL, Brazil.
authors.forename: C
authors.initials: C
authors.lastname: Argolo
authors.forename: Yan
authors.initials: Y
authors.lastname: Quintino
authors.forename: Y
authors.initials: Y
authors.lastname: Siqueira
authors.forename: Iram
authors.initials: I
authors.lastname: Gleria
authors.forename: M L
authors.initials: ML
authors.lastname: Lyra
mesh_terms: D000042:Absorption; D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D015233:Models, Statistical; D044367:Phase Transition