Critical behavior of the absorbing state transition in the contact process with relaxing immunization

Claudia P.T. Cruz, M.L. Lyra, U.L. Fulco and Gilberto Corso

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 22, 5349-5354

Abstract: We introduce a model for the Contact Process with relaxing immunization CPRI. In this model, local memory is introduced by a time and space dependence of the contamination probability. The model has two parameters: a typical immunization time τ and a maximum contamination probability a. The system presents an absorbing state phase transition whenever the contamination probability a is above a minimum threshold. For short immunization times, the system evolves to a statistically stationary active state. Above τc(a), immunization predominates and the system evolves to the absorbing vacuum state. We employ a finite-size scaling analysis to show that the transition belongs to the standard directed percolation universality class. The critical immunization time diverges in the limit of a→1. In this regime, the density of active sites decays exponentially as τ increases, but never reaches the vacuum state in the thermodynamic limit.

Keywords: Non-equilibrium phase transition; Directed percolation; Population dynamics; Critical exponents (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:22:p:5349-5354

DOI: 10.1016/j.physa.2012.05.066

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