On a relation between roughening and coarsening

TL;DR

This paper establishes a fundamental link between the growth of domains in coarsening systems and the roughness of interfaces, supported by extensive simulations of disordered Ising models.

Contribution

It reveals a novel relation between domain size and interface roughness, confirmed through simulations of various disordered Ising systems.

Findings

Confirmed the relation through simulations of different disorder types

Demonstrated the connection between coarsening and roughening phenomena

Provided insights into interface behavior in disordered systems

Abstract

We argue that a strict relation exists between two in principle unrelated quantities: The size of the growing domains in a coarsening system, and the kinetic roughening of an interface. This relation is confirmed by extensive simulations of the Ising model with different forms of quenched disorder, such as random bonds, random fields and stochastic dilution.