Phase Transitions in Parallel Replication Process

TL;DR

This paper introduces a one-dimensional kinetic contact process with parallel updates, studying its phase transitions and critical behavior through Monte Carlo simulations, revealing non-universal critical indices and structural state variations.

Contribution

It presents a novel kinetic contact process model with parallel updates and analyzes its phase transition properties and critical behavior.

Findings

Line of second order phase transitions identified

Critical index beta varies continuously along the transition line

Non-universality of critical behavior conjectured

Abstract

The one-dimensional kinetic contact process with parallel update is introduced and studied by Monte Carlo simulations. This process is proposed to describe the plant population replication and epidemic disease spreading among them. The phase diagram of the model features the line of the second order transitions between absorbing and active phases. The numerical results for the critical index beta demonstrate its continuous variation along the transition line accompanied by the variations of the structural characteristics of limiting steady states. We conjecture the non-universality of the critical behavior of the model.