Crossover from mean-field to 2d Directed Percolation in the contact process

Thiago B. dos Santos, Cesar I.N. Sampaio Filho, Nuno A.M. Araújo, Cláudio L.N. Oliveira and André A. Moreira

Physica A: Statistical Mechanics and its Applications, 2018, vol. 512, issue C, 352-358

Abstract: We study the contact process on spatially embedded networks, consisting of a regular square lattice with long-range connections. To generate the networks, we start from a square lattice and, to each node i we add a long-range connection to a node j, selected at random from all possible nodes, with a weight rij−α per node. Extensive Monte Carlo simulations and a finite-size scaling analysis for different values of α reveal a crossover from the mean-field to 2d Directed Percolation universality class with increasing α, in the range 3<α<4.

Keywords: Scaling; Nonequilibrium phase transition; Complex network (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:512:y:2018:i:c:p:352-358

DOI: 10.1016/j.physa.2018.08.098

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