Efficiency of transport in periodic potentials: dichotomous noise contra deterministic force

TL;DR

This paper investigates how dichotomous noise influences the transport efficiency of an inertial Brownian particle in a periodic potential, revealing that such non-equilibrium noise can significantly enhance transport compared to deterministic forces.

Contribution

It demonstrates that bidirectional dichotomous noise can improve transport efficiency in periodic potentials, extending previous findings with white Poissonian noise to more general noise types.

Findings

Dichotomous noise enhances particle transport efficiency.

The effect persists with bidirectional noise fluctuations.

Thermal noise influences but does not negate the efficiency gain.

Abstract

We study transport of an inertial Brownian particle moving in a symmetric and periodic one-dimensional potential, and subjected to both a symmetric, unbiased external harmonic force as well as biased dichotomic noise $\eta(t)$ also known as a random telegraph signal or a two state continuous-time Markov process. In doing so, we concentrate on the previously reported regime [J. Spiechowicz et al., Phys. Rev. E 90, 032104 (2014)] for which non-negative biased noise $\eta(t)$ in the form of generalized white Poissonian noise can induce anomalous transport processes similar to those generated by a deterministic constant force $F=\langle \eta(t) \rangle $ but significantly more effective than $F$, i.e. the particle moves much faster, the velocity fluctuations are noticeable reduced and the transport efficiency is enhanced several times. Here, we confirm this result for the case of dichotomous fluctuations which in contrast to white Poissonian noise can assume positive as well as negative values and examine the role of thermal noise in the observed phenomenon. We focus our attention on the impact of bidirectionality of dichotomous fluctuations and reveal that the effect of non-equilibrium noise enhanced efficiency is still detectable. This result may explain transport phenomena occurring in strongly fluctuating environments of both a physical and biological origin. Our predictions can be corroborated experimentally by use of a set-up that consists of a resistively and capacitively shunted Josephson junction.