The contact process in disordered and periodic binary two-dimensional lattices

Abstract

The critical behavior of the contact process in disordered and periodic binary 2d-lattices is investigated numerically by means of Monte Carlo simulations as well as via an analytical approximation and standard mean field theory. Phase-separation lines calculated numerically are found to agree well with analytical predictions around the homogeneous point. For the disordered case, values of static scaling exponents obtained via quasi-stationary simulations are found to change with disorder strength. In particular, the finite-size scaling exponent of the density of infected sites approaches a value consistent with the existence of an infinite-randomness fixed point as conjectured before for the 2d disordered CP. At the same time, both dynamical and static scaling exponents are found to coincide with the values established for the homogeneous case thus confirming that the contact process in a heterogeneous environment belongs to the directed percolation universality class.

submitted to Physical Review E

References in corpus (15)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Universality classes in nonequilibrium lattice systems
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Universal scaling behavior of non-equilibrium phase transitions
• Infinite-randomness quantum Ising critical fixed points
• Strong disorder fixed point in absorbing state phase transitions
• Critical Dynamics of the Contact Process with Quenched Disorder
• Epidemic analysis of the second-order transition in the Ziff-Gulari-Barshad surface-reaction model
• Absorbing state phase transitions with quenched disorder
• Critical behavior and Griffiths effects in the disordered contact process
• Universal finite-size scaling behavior and universal dynamical scaling behavior of absorbing phase transitions with a conserved field
• Violation of Scaling in the Contact Process with Quenched Disorder
• Disorder induced cross-over effects at quantum critical points
• Precise Critical Exponents for the Basic Contact Process
• The contact process in heterogeneous and weakly-disordered systems