Critical properties of the susceptible-exposed-infected model with correlated temporal disorder

Author(s)

Wada, Alexander H. O. ; Hoyos, Jose A.

• Document type: Journal article
• Source: PHYSICAL REVIEW E; v. 103, n. 1, p. 10-pg., 2021-01-15.

Abstract

In this paper we study the critical properties of the nonequilibrium phase transition of the susceptible-exposed-infected (SEI) model under the effects of long-range correlated time-varying environmental noise on the Bethe lattice. We show that temporal noise is perturbatively relevant changing the universality class from the (meanfield) dynamical percolation to the exotic infinite-noise universality class of the contact process model. Our analytical results are based on a mapping to the one-dimensional fractional Brownian motion with an absorbing wall and is confirmed by Monte Carlo simulations. Unlike the contact process, our theory also predicts that it is quite difficult to observe the associated active temporal Griffiths phase in the long-time limit. Finally, we also show an equivalence between the infinite-noise and the compact directed percolation universality classes by relating the SEI model in the presence of temporal disorder to the Domany-Kinzel cellular automaton in the limit of compact clusters. (AU)

• FAPESP's process: 15/23849-7 - Quantum spin chains
• Grantee: Francisco Castilho Alcaraz
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 18/25441-3 - Nonequilibrium phase transition in spatial and temporal disordered systems
• Grantee: Alexander Hideki Oniwa Wada
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 16/10826-1 - Multi-user equipment approved in grant 2015/23849-7: computer cluster
• Grantee: Francisco Castilho Alcaraz
• Support Opportunities: Multi-user Equipment Program