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

Author

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

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.

Suggested Citation

  • dos Santos, Thiago B. & Sampaio Filho, Cesar I.N. & Araújo, Nuno A.M. & Oliveira, Cláudio L.N. & Moreira, André A., 2018. "Crossover from mean-field to 2d Directed Percolation in the contact process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 352-358.
    • Handle: RePEc:eee:phsmap:v:512:y:2018:i:c:p:352-358
    DOI: 10.1016/j.physa.2018.08.098
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