A Model of Interface Growth with non-Burgers Dynamical Exponent

TL;DR

This paper introduces a new interface growth model with conserved minimum height, showing it differs from the KPZ universality class with a larger dynamical exponent and logarithmic corrections, supported by simulations and exact calculations.

Contribution

The paper presents a novel interface growth model with conserved minimum height, expanding understanding of non-KPZ universality classes in interface dynamics.

Findings

The model's dynamical exponent z ≈ 2.5 in 1D.

Logarithmic corrections to scaling observed.

Model is not in the KPZ universality class.

Abstract

We define a new model of interface roughening which has the property that the minimum of interface height is conserved locally during the growth. This model corresponds to the limit $q \to \infty$ of the q-color dimer deposition-evaporation model introduced by us earlier [Hari Menon M K and Dhar D 1995 J. Phys. A: Math. Gen. 28 6517]. We present numerical evidence from Monte Carlo simulations and the exact diagonalization of the evolution operator on finite rings that this model is not in the universality class of the Kardar-Parisi-Zhang interface growth model. The dynamical exponent z in one dimension is larger than 2, with $z \approx 2.5$. And there are logarithmic corrections to the scaling of the gap with system size. Higher dimensional generalization of the model is briefly discussed.