The contact process in heterogeneous and weakly-disordered systems

Abstract

The critical behavior of the contact process (CP) in heterogeneous periodic and weakly-disordered environments is investigated using the supercritical series expansion and Monte Carlo (MC) simulations. Phase-separation lines and critical exponents $\beta$ (from series expansion) and $\eta$ (from MC simulations) are calculated. A general analytical expression for the locus of critical points is suggested for the weak-disorder limit and confirmed by the series expansion analysis and the MC simulations. Our results for the critical exponents show that the CP in heterogeneous environments remains in the directed percolation (DP) universality class, while for environments with quenched disorder, the data are compatible with the scenario of continuously changing critical exponents.

5 pages, 3 figures

References in corpus (8)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Strong disorder fixed point in absorbing state phase transitions
• Critical Dynamics of the Contact Process with Quenched Disorder
• Absorbing state phase transitions with quenched disorder
• Critical behavior and Griffiths effects in the disordered contact process
• Study of the disordered one-dimensional contact process
• Violation of Scaling in the Contact Process with Quenched Disorder
• Study of universality crossover in the contact process

Cited by in corpus (10)

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• Experimental realization of directed percolation criticality in turbulent liquid crystals
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• Emergence of disconnected clusters in heterogeneous complex systems
• Disordered contact process with asymmetric spreading
• Extinction transition in stochastic population dynamics in a random, convective environment
• Renormalization theory of disordered contact processes with heavy-tailed dispersal
• Supercritical series expansion for the contact process in heterogeneous and disordered environments
• Smoothly vanishing density in the contact process by an interplay of disorder and long-distance dispersal
• The contact process in disordered and periodic binary two-dimensional lattices