Interface roughening with a time-varying external driving force

TL;DR

This paper explores how a time-varying external force influences interface roughening, deriving relations between roughening exponents, and providing conjectures and simulation data to understand the universality class and experimental implications.

Contribution

It introduces a generalized Galilean invariance framework to relate roughening exponents under external driving and predicts their behavior in two dimensions.

Findings

Derived a relation between roughening exponents from generalized Galilean invariance.

Conjectured exponent values in two dimensions consistent with simulation data.

Discussed potential experimental investigations of the effects.

Abstract

We present a theoretical and numerical investigation of the effect of a time-varying external driving force on interface growth. First, we derive a relation between the roughening exponents which comes from a generalized Galilean invariance, showing how the critical dimension of the model is tunable with the external field. We further conjecture results for the exponents in two dimensions, and find consistency with data obtained through simulations of two models we expect to be in the same universality class. Finally, we discuss how our results can be investigated experimentally.