Dynamic Scaling of Ion-Sputtered Surfaces

TL;DR

This paper develops a stochastic nonlinear model for ion-sputtered surface evolution, linking physical parameters to scaling behavior transitions driven by experimental conditions.

Contribution

It introduces a derivation of a nonlinear equation with explicit coefficients based on physical sputtering parameters, highlighting transition points in surface scaling behaviors.

Findings

Explicit calculation of coefficients from physical parameters

Identification of scaling behavior transitions with experimental parameters

Model predicts different surface evolution regimes

Abstract

We derive a stochastic nonlinear equation to describe the evolution and scaling properties of surfaces eroded by ion bombardment. The coefficients appearing in the equation can be calculated explicitly in terms of the physical parameters characterizing the sputtering process. We find that transitions may take place between various scaling behaviors when experimental parameters such as the angle of incidence of the incoming ions or their average penetration depth, are varied.