Self-organized criticality in an interface-growth model with quenched randomness

TL;DR

This paper investigates a modified interface-growth model with quenched disorder, revealing self-organized criticality and anomalous scaling with a specific roughness exponent through numerical analysis.

Contribution

It introduces a new self-organized criticality model for interface growth with quenched disorder and characterizes its scaling behavior.

Findings

Self-organized critical state observed.

Roughness exponent alpha=0.63 determined.

Anomalous scaling law identified.

Abstract

We study a modified model of the Kardar-Parisi-Zhang equation with quenched disorder, in which the driving force decreases as the interface rises up. A critical state is self-organized, and the anomalous scaling law with roughness exponent alpha=0.63 is numerically obtained.