Nonlocality in kinetic roughening

TL;DR

This paper introduces a phenomenological model for surface roughening that incorporates long-range interactions, revealing various phase transition scenarios and discussing potential experimental implications.

Contribution

It presents a new phenomenological equation capturing the effects of long-range interactions on kinetic roughening, a novel approach in surface growth modeling.

Findings

Surface roughness depends on long-range features.

Multiple phase transition scenarios are possible.

Experimental implications are discussed.

Abstract

We propose a phenomenological equation to describe kinetic roughening of a growing surface in presence of long range interactions. The roughness of the evolving surface depends on the long range feature, and several distinct scenarios of phase transitions are possible. Experimental implications are discussed.