Kardar-Parisi-Zhang type dynamics with periodic tilt dependence of the propagation velocity in 1+1 dimensions

TL;DR

This paper investigates interface evolution with a periodic tilt-dependent velocity, revealing that fluctuations generally follow KPZ universality but may form a new class under weak non-linearity, based on large-scale simulations.

Contribution

It introduces a generalized KPZ model with periodic tilt dependence and identifies a potential new universality class in the weak non-linearity limit.

Findings

Fluctuations mostly follow KPZ universality class.

A new universality class emerges at weak non-linearity.

Large-scale simulations support the theoretical predictions.

Abstract

We consider the evolution of interfaces with a diffusive term and a generalized Kardar-Parisi-Zhang (KPZ) non-linearity, which results in a propagation velocity that depends periodically on the tilt of the interface. Using large scale simulations of a model class with these properties in 1+1 dimensions, we show that the fluctuations are in general still in the KPZ universality class, but a new universality class seems to appear in the limit of weak non-linearity. We argue that this is the typical behavior of any interface model with periodic tilt dependence.