Temporal disorder does not forbid discontinuous absorbing phase transitions in low-dimensional systems

M. M. de Oliveira and C. E. Fiore
Phys. Rev. E 94, 052138 – Published 23 November 2016

Abstract

Recent papers have shown that spatial (quenched) disorder can suppress discontinuous absorbing phase transitions. Conversely, the scenario for temporal disorder is still unknown. To shed some light in this direction, we investigate its effect in three different two-dimensional models which are known to exhibit discontinuous absorbing phase transitions. The temporal disorder is introduced by allowing the control parameter to be time dependent pp(t), either varying as a uniform distribution with mean p¯ and variance σ or as a bimodal distribution, fluctuating between a value p and a value plp. In contrast to spatial disorder, our numerical results strongly suggest that such uncorrelated temporal disorder does not forbid the existence of a discontinuous absorbing phase transition. We find that all cases are characterized by behaviors similar to their pure (without disorder) counterparts, including bistability around the coexistence point and common finite-size scaling behavior with the inverse of the system volume, as recently proposed [M. M. de Oliveira et al., Phys. Rev. E 92, 062126 (2015)]. We also observe that temporal disorder does not induce temporal Griffiths phases around discontinuous phase transitions, at least not for d=2.

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  • Received 29 March 2016
  • Revised 25 July 2016

DOI:https://doi.org/10.1103/PhysRevE.94.052138

©2016 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

M. M. de Oliveira1 and C. E. Fiore2

  • 1Departamento de Física e Matemática, CAP, Universidade Federal de São João del Rei, Ouro Branco, Minas Gerais, 36420-000, Brazil
  • 2Instituto de Física, Universidade de São Paulo, São Paulo, São Paulo, 05314-970, Brazil

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Issue

Vol. 94, Iss. 5 — November 2016

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