The European Physical Journal B

, Volume 65, Issue 3, pp 403–414 | Cite as

Active Brownian motion models and applications to ratchets

  • A. Fiasconaro
  • W. Ebeling
  • E. Gudowska-Nowak


We give an overview over recent studies on the model of Active Brownian Motion (ABM) coupled to reservoirs providing free energy which may be converted into kinetic energy of motion. First, we present an introduction to a general concept of active Brownian particles which are capable to take up energy from the source and transform part of it in order to perform various activities. In the second part of our presentation we consider applications of ABM to ratchet systems with different forms of differentiable potentials. Both analytical and numerical evaluations are discussed for three cases of sinusoidal, staircaselike and Mateos ratchet potentials, also with the additional loads modelled by tilted potential structure. In addition, stochastic character of the kinetics is investigated by considering perturbation by Gaussian white noise which is shown to be responsible for driving the directionality of the asymptotic flux in the ratchet. This stochastically driven directionality effect is visualized as a strong nonmonotonic dependence of the statistics of the right versus left trajectories of motion leading to a net current of particles. Possible applications of the ratchet systems to molecular motors are also briefly discussed.


05.40.-a Fluctuation phenomena, random processes, noise, Brownian motion 05.45.-a Nonlinear dynamics and chaos 


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Copyright information

© Springer 2008

Authors and Affiliations

  • A. Fiasconaro
    • 1
    • 2
    • 3
  • W. Ebeling
    • 1
    • 4
  • E. Gudowska-Nowak
    • 1
    • 3
  1. 1.Mark Kac Complex Systems Research CenterJagellonian UniversityKrak’owPoland
  2. 2.Dipartimento di Fisica e Tecnologie Relative and CNISMUniversità di PalermoPalermoItaly
  3. 3.Marian Smoluchowski Institute of PhysicsJagellonian UniversityKrak’owPoland
  4. 4.Institute of PhysicsHumboldt University BerlinBerlinGermany

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