Brownian motors: Joint effect of non-Gaussian noise and time asymmetric forcing

TL;DR

This paper investigates how combining non-Gaussian noise and time asymmetric forcing affects the efficiency and transport coherence of a Brownian motor, revealing nuanced differences from Gaussian noise regimes.

Contribution

It provides a comparative analysis of non-Gaussian and Gaussian noises under time asymmetric forcing, highlighting their combined effects on Brownian motor performance.

Findings

Efficiency increases with time asymmetry but less so than in Gaussian white noise.

Non-Gaussian noise can lead to higher efficiency in some cases.

Gaussian colored noise yields higher Péclet numbers than non-Gaussian or white noise.

Abstract

Previous works have shown that time asymmetric forcing on the one hand, as well as non-Gaussian noises on the other, can separately enhance the efficiency and current of a Brownian motor. Here, we study the result of subjecting a Brownian motor to both effects simultaneously. Our results have been compared with those obtained for the Gaussian white noise regime in the adiabatic limit. We find that, although the inclusion of the time asymmetry parameter increases the efficiency value up to a certain extent, for the present case this increase is much less appreciable than in the white noise case. We also present a comparative study of the transport coherence in the context of colored noise. Though the efficiency in some cases becomes higher for the non-Gaussian case, the P\'eclet number is always higher in the Gaussian colored noise case than in the white noise as well as non-Gaussian colored noise cases.