Scaling behavior of the conserved transfer threshold process

TL;DR

This paper numerically investigates the critical behavior of an absorbing phase transition in the conserved transfer threshold process, revealing its universality class and steady state scaling properties.

Contribution

It provides the first detailed numerical analysis of the conserved transfer threshold process's critical behavior and confirms its universality class.

Findings

The process exhibits steady state scaling behavior consistent with absorbing phase transitions in a conserved field.

External field influences the critical behavior by creating active particles spontaneously.

The process belongs to the universality class of absorbing phase transitions with a conserved field.

Abstract

We analyze numerically the critical behavior of an absorbing phase transition in the conserved transfer threshold process. We determined the steady state scaling behavior of the order parameter as a function of both, the control parameter and an external field, conjugated to the order parameter. The external field is realized as a spontaneous creation of active particles which drives the system away from criticality. The obtained results yields that the conserved transfers threshold process belongs to the universality class of absorbing phase transitions in a conserved field.