Anomalous Roughening of Curvature-Driven Growth With a Variable Interface Window

TL;DR

This paper investigates the anomalous roughening behavior of curvature-driven growth in a disk domain with a variable interface window, revealing new scaling dynamics and the impact of different surface tensions.

Contribution

It introduces a novel class of anomalous roughening dynamics in curvature-driven growth with a variable interface window, contrasting with fixed-window behavior.

Findings

Interface roughness follows scaling dynamic behavior.

Local and global growth exponents differ significantly.

Different surface tensions alter global exponents.

Abstract

We studied the curvature-driven roughening of a disk domain pattern with a variable interface window. The relaxation of interface is driven by negative surface tension . When a domain boundary propagates radially at a constant rate, we found that evolution of interface roughness follows scaling dynamic behavior. The local growth exponents are substantially different from the global exponents. Curvature-driven roughening belongs to a new class of anomalous roughening dynamics. However, a different surface tension leads to different global exponents. This is different from that of interface evolution with a fixed-size window, which has universal exponent. The variable growth window leads to a new class of anomalous roughening dynamics.