Contact process with aperiodic temporal disorder

Abstract

We investigate the nonequilibrium critical behavior of the contact process with deterministic aperiodic temporal disorder implemented by choosing healing or infection rates according to a family of aperiodic sequences based on the quasiperiodic Fibonacci sequence. This family allows us to gauge the temporal fluctuations via a wandering exponent $\omega$ and put our work in the context of the Kinzel--Vojta--Dickman criterion for the relevance of temporal disorder to the critical behavior of nonequilibrium models. By means of analytic and numerical calculations, the generalized criterion is tested in the mean-field limit.

References in corpus (20)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Universality classes in nonequilibrium lattice systems
• Reaction-Diffusion Processes, Critical Dynamics and Quantum Chains
• Directed percolation criticality in turbulent liquid crystals
• Strong disorder fixed point in absorbing state phase transitions
• Critical behavior and Griffiths effects in the disordered contact process
• Temporal Griffiths Phases
• Nonequilibrium phase transition on a randomly diluted lattice
• Weakly disordered absorbing-state phase transitions
• Infinite-noise criticality: Nonequilibrium phase transitions in fluctuating environments
• Contact process on generalized Fibonacci chains: infinite-modulation criticality and double-log periodic oscillations
• Contact process with temporal disorder
• Spatio-temporal generalization of the Harris criterion and its application to diffusive disorder
• Temporal disorder does not forbid discontinuous absorbing phase transitions in low dimensional systems
• Extinction transitions in correlated external noise
• Temporal disorder in discontinuous non-equilibrium phase transitions: general results
• Extinction phase transitions in a model of ecological and evolutionary dynamics
• Comparing the influence of distinct kinds of temporal disorder in a low dimensional absorbing transition model
• Critical properties of the Susceptible-Exposed-Infected model with correlated temporal disorder
• Influence of distinct kinds of temporal disorder in discontinuous phase transitions

Cited by in corpus (1)

• Enhanced spreading in continuous-time quantum walks using aperiodic temporal modulation of defects