Global persistence exponent of the two-dimensional Blume-Capel model

TL;DR

This paper calculates the global persistence exponent for the 2D Blume-Capel model at criticality, revealing universality along the critical line and a distinct value at the tricritical point.

Contribution

It provides the first estimates of the global persistence exponent for the 2D Blume-Capel model at both critical and tricritical points.

Findings

Ising-like universality observed along the critical line

Distinct exponent value at the tricritical point

Quantitative estimates of $ heta_g$ for different critical regimes

Abstract

The global persistence exponent $\theta_g$ is calculated for the two-dimensional Blume-Capel model following a quench to the critical point from both disordered states and such with small initial magnetizations. Estimates are obtained for the nonequilibrium critical dynamics on the critical line and at the tricritical point. Ising-like universality is observed along the critical line and a different value $\theta_g =1.080(4)$ is found at the tricritical point.