Temporal disorder in discontinuous non-equilibrium phase transitions: general results

Abstract

We develop a general theory for discontinuous non-equilibrium phase transitions into an absorbing state in the presence of temporal disorder. We focus in two paradigmatic models for discontinuous transitions: the quadratic contact process (in which activation is only spread when two nearest- neighbor sites are both active) and the contact process with long-range interactions. Using simple stability arguments (supported by Monte Carlo simulations), we show that temporal disorder does not destroy the discontinuous transition in the former model. For the latter one, the first-order transition is turned into a continuous one only in the strong-disorder limit, with critical behavior belonging to the infinite-noise universality class of the contact process model. Finally, we have found that rare temporal fluctuations dramatically changes the behavior of metastable phase turning it into a temporal Griffiths inactive phase characterized by an exponentially large decay time.

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Cited by in corpus (9)

• Strong Disorder RG approach - a short review of recent developments
• Strategy equilibrium in dilemma games with off-diagonal payoff perturbations
• Random free-fermion quantum spin chain with multi-spin interactions
• Criticality and Griffiths phases in random games with quenched disorder
• Influence of distinct kinds of temporal disorder in discontinuous phase transitions
• Critical properties of the Susceptible-Exposed-Infected model with correlated temporal disorder
• Discontinuous transitions can survive to quenched disorder in a 2-dimensional nonequilibrium system
• Quenched disorder in the contact process on bipartite sublattices
• Contact process with aperiodic temporal disorder