Phase transitions of the generalized contact process with two absorbing states

TL;DR

This paper explores the phase transitions in a generalized contact process with two absorbing states, revealing complex phase diagrams and critical behaviors through large-scale simulations.

Contribution

It introduces a generalized model with an additional parameter, uncovering new phase transition lines and multicritical behavior not seen in the standard contact process.

Findings

Identified a rich phase diagram with multiple transition lines.

Discovered a multicritical point with unique properties.

Analyzed critical behaviors and universality classes.

Abstract

We investigate the generalized contact process with two absorbing states in one space dimension by means of large-scale Monte-Carlo simulations. Treating the creation rate of active sites between inactive domains as an independent parameter leads to a rich phase diagram. In addition to the conventional active and inactive phases we find a parameter region where the simple contact process is inactive, but an infinitesimal creation rate at the boundary between inactive domains is sufficient to take the system into the active phase. Thus, the generalized contact process has two different phase transition lines. The point separating them shares some characteristics with a multicritical point. We also study in detail the critical behaviors of these transitions and their universality.