The short-time behaviour of a kinetic Ashkin-Teller model on the critical line

TL;DR

This study investigates the early-time dynamic scaling behavior of the kinetic Ashkin-Teller model at criticality, revealing how critical exponents vary along the critical line through simulations with different initial states.

Contribution

It provides new insights into the short-time critical dynamics of the Ashkin-Teller model, including the variation of the critical exponent $ heta$ along the critical line.

Findings

Power law scaling observed in early-time magnetic and electric order.

Critical exponent $ heta$ varies along the critical line.

Dynamical exponent $z$ determined from simulations.

Abstract

We simulate the kinetic Ashkin-Teller model with both ordered and disordered initial states, evolving in contact with a heat-bath at the critical temperature. The power law scaling behaviour for the magnetic order and electric order are observed in the early time stage. The values of the critical exponent $\theta$ vary along the critical line. Another dynamical exponent $z$ is also obtained in the process.