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Temporal disorder in discontinuous nonequilibrium phase transitions: General results

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Author(s):
Fiore, C. E. ; de Oliveira, M. M. ; Hoyos, Jose A.
Total Authors: 3
Document type: Journal article
Source: PHYSICAL REVIEW E; v. 98, n. 3, p. 11-pg., 2018-09-24.
Abstract

We develop a general theory for discontinuous nonequilibrium 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. (AU)

FAPESP's process: 18/02405-1 - Temporal disorder and entropy production in nonequilibrium systems with symmetry Z2
Grantee:Carlos Eduardo Fiore dos Santos
Support Opportunities: Regular Research Grants