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.
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