The Non-local Kardar-Parisi-Zhang Equation With Spatially Correlated Noise

TL;DR

This paper investigates how spatially correlated noise influences a non-local KPZ equation, revealing different phases and roughness exponents through dynamic renormalization group analysis and mode comparison.

Contribution

It introduces a study of non-local KPZ equations with correlated noise, analyzing phase behavior and roughness exponents using DRG and mode analysis.

Findings

Existence of different phases depending on noise correlation and interaction range.

Identification of roughness exponents associated with critical dimensions.

Comparison of non-KPZ exponents from mode analysis with DRG results.

Abstract

The effects of spatially correlated noise on a phenomenological equation equivalent to a non-local version of the Kardar-Parisi-Zhang equation are studied via the dynamic renormalization group (DRG) techniques. The correlated noise coupled with the long ranged nature of interactions prove the existence of different phases in different regimes, giving rise to a range of roughness exponents defined by their corresponding critical dimensions. Finally self-consistent mode analysis is employed to compare the non-KPZ exponents obtained as a result of the long range -long range interactions with the DRG results.