Study of the resistivity in a channel with dephased ripples

TL;DR

This paper investigates how dephasing ripple boundaries in a 2D channel affect classical particle transport, deriving an analytical expression for resistivity and showing dephasing can significantly increase resistivity.

Contribution

It provides the first analytical approximation for resistivity in channels with dephased ripples, highlighting the impact of wall dephasing on transport properties.

Findings

Resistivity increases with wall dephasing.

Analytical expression matches numerical results.

Dephasing significantly alters transport behavior.

Abstract

We study the transport properties of classical particles in the ballistic regime trapped in a two-dimensional channel with dephased ripple boundaries. By taking into account small ripple amplitudes an analytical approximate expression for the classical resistivity is obtained. We show that the resistivity can be increased considerably by dephasing the walls of the channel. Our results are compared with those obtained for a channel composed of a flat and a sinusoidal boundaries.