Crossover from mean-field to 2d Directed Percolation in the contact
process
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, (2018)DOI: 10.1016/j.physa.2018.08.098
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 r(ij)(-alpha) per node. Extensive Monte Carlo
simulations and a finite-size scaling analysis for different values of
alpha reveal a crossover from the mean-field to 2d Directed Percolation
universality class with increasing alpha, in the range 3 < alpha < 4 (C)
2018 Elsevier B.V. All rights reserved.