Brownian ratchet with time-delay on periodic surface

Renata Retkute, James P. Gleeson

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The motion of Brownian particles in ratchet-like potentials (Magnasco 1993) has attracted great interest due to its wide applications in connection with transport processes in many fields including nanotechnologies. In many applications, a delay time elapses between the cause of a certain phenomenon and its subsequent effect. For example, in Entropy Trap Arrays (Tessier 2002) transport occurs when the configuration of a flexible polymer is deformed in order to pass through medium spatial constraints. The number of accessible configurations depends on the present as well as on the past position of the polymer. Differential equations with time delay are often used to take into consideration such phenomena. We consider a model of single particle moving in one dimensional periodic potential subject to thermal noise, additional forcing which is independent of particle position, and time-delayed feedback. We introduce feedback in such a way that when the delay vanishes, the model reduces to the wellstudied case of Brownian motion in the periodic potential (Risken 1996).

Original languageEnglish
Title of host publicationProceedings of ASMTA 2006
Subtitle of host publication13th International Conference on Analytical and Stochastic Modelling Techniques and Applications
Pages149-152
Number of pages4
Publication statusPublished - 2006
Externally publishedYes
Event13th International Conference on Analytical and Stochastic Modelling Techniques and Applications, ASMTA 2006 - Bonn, Germany
Duration: 28 May 200631 May 2006

Publication series

NameProceedings of ASMTA 2006: 13th International Conference on Analytical and Stochastic Modelling Techniques and Applications

Conference

Conference13th International Conference on Analytical and Stochastic Modelling Techniques and Applications, ASMTA 2006
Country/TerritoryGermany
CityBonn
Period28/05/0631/05/06

Keywords

  • Brownian ratchet
  • Mass separation
  • Stochastic differential delayed equations

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