Conserved Restricted Solid-on-Solid Model

TL;DR

This paper investigates a conserved surface growth model with height restrictions, analyzing its behavior using mean-field approximations to understand the surface configurations and dynamics.

Contribution

It introduces a conserved restricted solid-on-solid model and applies mean-field methods to approximate its one-site probability function.

Findings

Surface configurations are constrained by height differences of at most one.

Mean-field approximation provides insights into the model's probability distribution.

The model preserves total particle number during surface evolution.

Abstract

We study a model for the movement of surfaces, namely the conserved, restricted solid-on-solid model. The surface configurations are restricted such that the difference between the heights at adjacent sites is no more than one. In addition the total number of particles is preserved by the dynamics of the model. Mean-field approximations are used to approximate the one-site probability function of the model.