Geometric properties of two-dimensional coarsening with weak disorder

TL;DR

This paper investigates the geometric properties of domain coarsening in weakly disordered ferromagnets, demonstrating that their scaling behavior aligns with pure systems, supporting the super-universality hypothesis.

Contribution

It provides numerical evidence that the geometrical scaling functions in disordered ferromagnets match those of pure systems, extending super-universality to domain morphology.

Findings

Scaling functions match pure systems

Domain morphology exhibits super-universality

Geometrical properties are governed by a single scale R(t)

Abstract

The domain morphology of weakly disordered ferromagnets, quenched from the high-temperature phase to the low-temperature phase, is studied using numerical simulations. We find that the geometrical properties of the coarsening domain structure, e.g., the distributions of hull enclosed areas and domain perimeter lengths, are described by a scaling phenomenology in which the growing domain scale R(t) is the only relevant parameter. Furthermore, the scaling functions have forms identical to those of the corresponding pure system, extending the 'super-universality' property previously noted for the pair correlation function.