Universal Scaling in Mixing Correlated Growth with Randomness

TL;DR

This paper investigates how mixing random deposition with correlated growth processes affects universality classes, revealing that composite systems retain the correlated process universality and identifying a nonuniversal parameter in the scaling.

Contribution

It demonstrates that composite growth systems combining random and correlated processes belong to the correlated process universality class, with a specific nonuniversal parameter identified.

Findings

Composite systems are in the universality class of correlated growth.

A nonuniversal parameter appears in the scaling with probability p.

The universality class remains unchanged despite the mixture.

Abstract

We study two-component growth that mixes random deposition (RD) with a correlated growth process that occurs with probability p. We find that these composite systems are in the universality class of the correlated growth process. For RD blends with either Edwards-Wilkinson of Kardar-Parisi-Zhang processes, we identify a nonuniversal parameter in the universal scaling in p.