Active Brownian motion models and applications to ratchets
- 167 Downloads
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.
PACS05.40.-a Fluctuation phenomena, random processes, noise, Brownian motion 05.45.-a Nonlinear dynamics and chaos
Unable to display preview. Download preview PDF.
- 2.Y.L. Klimontovich, Statistical theory of open systems (Kluwer Academic Publ., Amsterdam, 1997)Google Scholar
- 7.T. Vicsek, Fluctuations and scaling in biology (University Press, Oxford, 2001)Google Scholar
- 10.A. Ordemann, F. Moss, G. Balaszi, in Motions of daphnia in a light field: random walks with a zooplankton, edited by F. Beck, M.T. Hütt, U. Lüttge (Springer, 2003)Google Scholar
- 12.W. Ebeling, L. Schimansky-Geier, Eur. J. Phys. J, in pressGoogle Scholar
- 18.W. Ebeling, E. Gudowska-Nowak, A. Fiasconaro, Acta Phys. Pol. B 39, 1225 (2008)Google Scholar
- 19.F. Schweitzer, W. Ebeling, B. Tilch, Phys. Rev. E 64, 02110-1-12 (2001)Google Scholar
- 22.B. Tilch, F. Schweitzer, W. Ebeling, Phys. A 273, 293 (1999)Google Scholar