Critical domain-wall dynamics of model B

TL;DR

This paper uses Monte Carlo simulations to study the critical domain-wall dynamics of the 2D Ising model, revealing a dynamic scaling form and a new size-dependent exponent related to magnetization.

Contribution

It introduces a novel exponent characterizing the lattice size dependence of magnetization during critical domain-wall dynamics in model B.

Findings

Discovered a dynamic scaling form in the short-time regime.

Measured a new exponent σ=0.243(8) for size dependence.

Highlighted the role of quasi-random walkers in the dynamics.

Abstract

With Monte Carlo methods, we simulate the critical domain-wall dynamics of model B, taking the two-dimensional Ising model as an example. In the macroscopic short-time regime, a dynamic scaling form is revealed. Due to the existence of the quasi-random walkers, the magnetization shows intrinsic dependence on the lattice size $L$. A new exponent which governs the $L$-dependence of the magnetization is measured to be $\sigma=0.243(8)$.