Inertial Brownian motors driven by biharmonic signals

TL;DR

This paper investigates how biharmonic oscillating signals influence the directed transport of inertial Brownian particles in symmetric periodic structures, revealing a universal shift symmetry in average velocity.

Contribution

It demonstrates the persistent shift symmetry of the stationary velocity under various signal symmetries and phases, advancing understanding of inertial Brownian motor control.

Findings

Shift symmetry of average velocity holds in all regimes

Symmetric, antisymmetric, and asymmetric signals affect transport

Relative phase influences directed transport

Abstract

We study transport properties of an inertial Brownian particle moving in viscous symmetric periodic structures and driven by an oscillating signal of two harmonic components. We analyze the influence of symmetric, antisymmetric and asymmetric signals on directed transport and reveal the shift symmetry of the stationary averaged velocity of the Brownian particle with respect to the relative phase of two components of the signal. The shift symmetry holds true in all regimes.