Nonequilibrium phase transition of a one dimensional system reaches the absorbing state by two different ways
Year: 2023
Type: article
Abstract: We study the nonequilibrium phase transitions from the absorbing phase to the active phase for the model of diseases spreading (Susceptible-Infected-Refractory-Susceptible (SIRS)) on a regular one-dimensional lattice. In this model, particles of three species (S, I, and R) on a lattice react as follows: [Formula: see text] with probability [Formula: see text], [Formula: see text] after infection time [Formula: see text] and [Formula: see text] after recovery time [Formula: see text]. In the case of [Formula: see text], this model has been found to have two critical thresholds separating the active phase from absorbing phases. The first critical threshold [Formula: see text] corresponds to a low infection probability and the second critical threshold [Formula: see text] corresponds to a high infection probability. At the first critical threshold [Formula: see text], our Monte Carlo simulations of this model suggest the phase transition to be of directed percolation class (DP). However, at the second critical threshold [Formula: see text] we observe that the system becomes so sensitive to initial values conditions which suggest the phase transition to be a discontinuous transition. We confirm this result using order parameter quasistationary probability distribution and finite-size analysis for this model at [Formula: see text].
Source: Scientific Reports
Author: M. Ali Saif
Institution: Amran University
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,390
OpenAlex ID: W4389399141