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Effective transport properties for flashing ratchets using homogenization theory
Author(s) -
Latorre Juan C.,
Kramer Peter R.,
Pavliotis Grigorios A.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700185
Subject(s) - flashing , ratchet , homogenization (climate) , péclet number , multiplicative function , thermal diffusivity , mechanics , gaussian , physics , statistical physics , classical mechanics , mathematics , mathematical analysis , materials science , thermodynamics , metallurgy , work (physics) , biodiversity , ecology , quantum mechanics , biology
We study effective transport properties of Brownian motor models of molecular motors. The effective drift and diffusivity can be calculated by solving cell problems, given explicitly by homogenization theory. We briefly describe how this approach is equivalent to theWang‐Peskin‐Elston (WPE) [3] numerical algorithm for calculating effective transport properties of flashing ratchets. For an on‐off flashing ratchet we examine the optimization of the Peclet number as a function of the free parameters of the system. We also present a numerical method for solving the cell equations for a flashing ratchet with Gaussian multiplicative noise. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)