Finite-time effects on a first-order irreversible phase transition

TL;DR

This paper investigates how finite-time effects influence a first-order irreversible phase transition in a catalytic oxidation model, revealing a dynamic phase transition and providing precise measurements of its location.

Contribution

It introduces a numerical approach to study finite-time effects in the ZGB model, demonstrating the occurrence of a dynamic phase transition and refining the transition point measurement.

Findings

Finite-time effects significantly impact the phase transition behavior.

A dynamic phase transition is observed near the FOIPT.

The transition point is measured with high precision.

Abstract

The first-order irreversible phase transition (FOIPT) of the ZGB model [Ziff, Gulari, Barshad, Phys. Rev. Lett. \textbf{56} (1986) 2553] for the catalytic oxidation of carbon monoxide is studied numerically in the presence of a slowly time-dependent, spatially uniform carbon monoxide pressure, with standard constant pressure simulations. This method allows us to observe finite-time effects close to the FOIPT, as well as evidence that a dynamic phase transition occurs. The location of this transition is measured very precisely and compared with previous results in the literature.