Structure Below the Growing Surface

TL;DR

This paper links surface growth models to the bulk structure beneath, revealing how deposition processes influence the internal properties of materials, with implications for various transport and mechanical phenomena.

Contribution

It demonstrates how deposition models can predict bulk structural properties, bridging surface growth theories with internal material characteristics.

Findings

Long-range tail in density-density correlation along deposition direction

Analytic model aligns with discrete growth simulation results

Bulk structure insights derived from surface growth models

Abstract

In recent years there has been a growing interest in the statistical properties of surfaces growing under deposition of material. Yet it is clear that a theory describing the evolution of a surface should at the same time describe the properties of the bulk buried underneath. Clearly, the structure of the bulk is relevant for many practical purposes, such as the transport of electric current in devices, transport of fluids in geological formations and stress transmission in granular systems. The present paper demonstrates explicitly how models describing deposition can provide us with information on the structure of the bulk. Comparison of an analytic model with a simulation of a discrete growth model reveals an interesting long range tail in the density-density correlation in the direction of deposition.