10.1103/PhysRevE.76.051110
Speer, David
David
Speer
Eichhorn, Ralf
Ralf
Eichhorn
Reimann, Peter
Peter
Reimann
Transient chaos induces anomalous transport properties of an underdamped Brownian particle
AMER PHYSICAL SOC
2007
2010-04-29T13:05:32Z
2018-07-24T12:58:43Z
journal_article
https://pub.uni-bielefeld.de/record/1631160
https://pub.uni-bielefeld.de/record/1631160.json
1539-3755
18233626
For an underdamped Brownian particle in a one-dimensional periodic potential we theoretically predict three unusual transport properties: (i) A static bias force (of either sign) generates an average particle motion in the opposite direction. (ii) A small bias leads to a particle transport in the direction of the bias, but upon increasing the bias the particle velocity reverses direction. (iii) For a given bias force, the particle motion follows the direction of the force for low temperatures, but upon increasing the temperature reverses its direction. The considered model is shown to be minimal for the occurrence of these phenomena. A detailed analysis of its deterministic properties and the influence of thermal noise is carried out with numerical simulations that are complemented by analytical approximations. Intuitive explanations of the basic mechanism behind the three effects are provided; their origin is attributed to a subtle interplay between the stability of coexisting attractors, noise induced metastability, and transient chaos. An experimental system for the realization of the predicted effects is given within the Stewart-McCumber model for Josephson junctions. Suitable parameter values for which these effects can be observed are quite realistic experimentally.