New set of measures to analyze non-equilibrium structures

TL;DR

This paper introduces new statistical measures for analyzing non-equilibrium surface growth, revealing distinct dynamic stages and differences between models like KPZ and RSOS.

Contribution

It presents novel measures to quantify non-equilibrium structures and applies them to reveal new insights into surface growth dynamics.

Findings

Patterns in spinodal decomposition exhibit three stages.

KPZ and RSOS models have different saturation exponents.

New measures provide deeper understanding of non-equilibrium surface phenomena.

Abstract

We introduce a set of statistical measures that can be used to quantify non-equilibrium surface growth. They are used to deduce new information about spatiotemporal dynamics of model systems for spinodal decomposition and surface deposition. Patterns growth in the Cahn-Hilliard Equation (used to model spinodal decomposition) are shown to exhibit three distinct stages. Two models of surface growth, namely the continuous Kardar-Parisi-Zhang (KPZ) model and the discrete Restricted-Solid-On-Solid (RSOS) model are shown to have different saturation exponents.