Universality classes of the absorbing state transition in a system with interacting static and diffusive populations.
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.
Argolo
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Instituto Federal de Ciência e Tecnologia do Estado de Alagoas, 57020-510 Maceió, AL, Brazil.
Quintino
Yan
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Siqueira
Y
Y
Gleria
Iram
I
Lyra
M L
ML
D000042:Absorption; D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D015233:Models, Statistical; D044367:Phase Transition