Surface width scaling in noise reduced Eden clusters

TL;DR

This paper investigates how the surface width of Eden A clusters scales with noise reduction, introducing a two-exponent model to fit simulation data across different noise levels.

Contribution

It proposes a novel two-exponent scaling ansatz to describe surface width behavior in noise-reduced Eden cluster growth.

Findings

Two-exponent scaling ansatz fits simulation data well

Surface width scaling varies with noise reduction parameter

Provides insights into noise effects on Eden cluster morphology

Abstract

The surface width scaling of Eden A clusters grown from a single aggregate site on the square lattice is investigated as a function of the noise reduction parameter. A two-exponent scaling ansatz is introduced and used to fit the results from simulations covering the range from fully stochastic to the zero-noise limit.