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Contact process with simultaneous spatial and temporal disorder

Xuecheng Ye and Thomas Vojta

  • Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA

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Phys. Rev. E 106, 044102 – Published 3 October, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.044102

Abstract

We study the absorbing-state phase transition in the one-dimensional contact process under the combined influence of spatial and temporal random disorders. We focus on situations in which the spatial and temporal disorders decouple. Couched in the language of epidemic spreading, this means that some spatial regions are, at all times, more favorable than others for infections, and some time periods are more favorable than others independent of spatial location. We employ a generalized Harris criterion to discuss the stability of the directed percolation universality class against such disorder. We then perform large-scale Monte Carlo simulations to analyze the critical behavior in detail. We also discuss how the Griffiths singularities that accompany the nonequilibrium phase transition are affected by the simultaneous presence of both disorders.

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Phys. Rev. E 106, 044102– Published 3 October, 2022
  • Received 11 August 2022
  • Accepted 16 September 2022
Article part of CHORUS
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