Control of particle transport driven by active noise: strategy of amplification via a periodic potential

TL;DR

This paper investigates how active noise in a periodic potential can enhance particle transport, revealing counter-intuitive effects and oscillations in velocity, with potential experimental applications in microscopic systems.

Contribution

It demonstrates that active fluctuations can significantly amplify particle transport in periodic potentials, especially under specific statistical conditions of the noise.

Findings

Transport enhancement depends on noise amplitude statistics.

Oscillations in particle velocity are observed as a function of noise variance.

Results are applicable to biological and artificial microscopic systems.

Abstract

We extend our previous studies on a counter-intuitive effect in which a directed transport of a free Brownian particle induced by active fluctuations can be significantly enhanced when the particle is placed in a periodic potential. It is in clear contrast to a common situation when the velocity of the Brownian particle is notably reduced if the periodic potential is switched on. As a model of active fluctuations we employ white Poissonian shot noise. We reconsider the case of the skew-normal amplitude distribution of shot noise and focus on the impact of statistical characteristics of its amplitude like mean, variance and skewness on the magnitude of free particle transport enhancement. in particular, we detect intriguing oscillations of the rescaled velocity of the particle as a function of the variance. Our findings can be corroborated experimentally in both biological and artificial microscopic systems.