Directed current in quasi-adiabatically ac-driven nonlinear systems

TL;DR

This paper rigorously proves the existence of directed transport in ac-driven nonlinear one-dimensional systems, demonstrating how a preferred direction of movement can emerge without a net external force.

Contribution

It provides a mathematical proof of directed transport in a specific class of nonlinear systems driven by ac forces, advancing theoretical understanding.

Findings

Directed transport exists without net force

Preferred direction of movement is mathematically proven

Applicable to certain ac-driven nonlinear systems

Abstract

We rigorously prove the existence of directed transport for a certain class of ac-driven nonlinear one dimensional systems, namely the generation of transport with a preferred direction in the absence of a net driving force.