Non-universal exponents in interface growth

TL;DR

This study numerically investigates how the growth exponents in the KPZ interface model depend on noise distribution details, revealing increased sensitivity with higher dimensions and challenging universality assumptions.

Contribution

It provides new insights into the non-universality of growth exponents in the KPZ equation based on noise distribution characteristics across dimensions.

Findings

Exponents depend on noise distribution details

Sensitivity increases with dimensionality

Challenges the universality hypothesis in interface growth

Abstract

We report on an extensive numerical investigation of the Kardar-Parisi-Zhang equation describing non-equilibrium interfaces. Attention is paid to the dependence of the growth exponents on the details of the distribution of the noise. All distributions considered are delta-correlated in space and time, and have finite cumulants. We find that the exponents become progressively more sensitive to details of the distribution with increasing dimensionality. We discuss the implications of these results for the universality hypothesis.