Scaling Exponents for Driven Two-Dimensional Growth

TL;DR

This paper uses numerical simulations to estimate scaling exponents in driven two-dimensional surface growth, comparing results across models and discussing fitting methods.

Contribution

It provides new estimates of scaling exponents for 2D driven surface growth and compares different models and fitting approaches.

Findings

Estimated scaling exponents consistent with previous models

Analyzed influence of fitting ansatzes on correlation functions

Validated results against existing literature

Abstract

We present results of numerical simulations to estimate scaling exponents associated with driven surface growth in two spatial dimensions. We have simulated the restricted solid--on--solid growth model and used the time and system size dependent interface width, and the equal time height correlation function to determine the exponents. We also discuss the influence of various functional fitting ansatzes to the correlation function. Our best estimates agree with the results of Forrest and Tang obtained for a different growth model. PACS numbers: 05.40, 05.70L, 61.50C, 64.60H.