Anomalous transport induced by nonhyperbolicity

TL;DR

This paper investigates how nonhyperbolic regions in a deterministic system enable direct particle transport in weakly dissipative, quasi-symmetric potentials, revealing potential for extracting work from nonequilibrium fluctuations.

Contribution

It demonstrates that nonhyperbolic regions around acceleration zones facilitate direct transport, a novel mechanism in weak dissipative systems with quasi-symmetric potentials.

Findings

Nonhyperbolic regions promote particle acceleration.

Direct transport occurs over a wide parameter range.

Potential for work extraction from unbiased fluctuations.

Abstract

In this letter we study how deterministic features presented by a system can be used to perform direct transport in a {\it quasi}-symmetric potential and weak dissipative system. We show that the presence of nonhyperbolic regions around acceleration areas of the phase space plays an important role in the acceleration of particles giving rise to direct transport in the system. Such effect can be observed for a large interval of the weak asymmetric potential parameter allowing the possibility to obtain useful work from unbiased nonequilibrium fluctuation in real systems even in a presence of a {\it quasi}-symmetric potential.