Multicritical behavior of the diluted contact process

Abstract

We study a contact process on a two-dimensional square lattice which is diluted by randomly removing bonds with probability p. For p<1/2 and varying birth rate $\lambda$ the model was shown to exhibit a continuous phase transition which belongs to the universality class of strongly disordered directed percolation. The phase transition line terminates in a multicritical point at p=1/2 and $\lambda =\lambda \ast =3.55(1)$, where the model can be interpreted as a critical directed percolation process running on a critical isotropic percolation cluster. In the present work we study the multicritical point and its neighboorhood by numerical simulations, discussing possible scaling forms which could describe the critical behavior at the transition.

18 pages, 11 figures, submitted to Journal of Statistical Mechanics: Theor. Exp

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• Infinite-randomness critical point in the two-dimensional disordered contact process
• Fixed-Energy Sandpiles Belong Generically to Directed Percolation
• Monte-Carlo simulations of the clean and disordered contact process in three dimensions
• Universality of the contact process with random dilution
• Universal and non-universal neural dynamics on small world connectomes: a finite size scaling analysis
• Mixed-order phase transition of the contact process near multiple junctions
• Absorbing-state phase transitions on percolating lattices
• Critical properties of the contact process with quenched dilution
• Quasi-stationary simulations of the directed percolation universality class in d = 3 dimensions
• Nonuniversal and anomalous critical behavior of the contact process near an extended defect