Short-time critical dynamics at perfect and non-perfect surface

TL;DR

This paper uses Monte Carlo simulations to study the critical dynamics of surface and defect line magnetizations in the 3d Ising model, revealing universal scaling behaviors and the effects of defects.

Contribution

It provides new insights into the dynamic critical behavior of surfaces and defect lines, including crossover scaling and the impact of non-perfect surfaces.

Findings

Universal dynamic scaling behavior identified

Surface and line magnetization exponents extracted

Impact of defect lines on universality classes analyzed

Abstract

We report Monte Carlo simulations of critical dynamics far from equilibrium on a perfect and non-perfect surface in the 3d Ising model. For an ordered initial state, the dynamic relaxation of the surface magnetization, the line magnetization of the defect line, and the corresponding susceptibilities and appropriate cumulant is carefully examined at the ordinary, special and surface phase transitions. The universal dynamic scaling behavior including a dynamic crossover scaling form is identified. The exponent $\beta_1$ of the surface magnetization and $\beta_2$ of the line magnetization are extracted. The impact of the defect line on the surface universality classes is investigated.