Effective transport properties for flashing ratchets using homogenization theory |
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| Authors: | Juan C Latorre Peter R Kramer Grigorios A Pavliotis |
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| Institution: | 1. Rensselaer Polytechnic Institute. Troy, NY, 12180, USA;2. Imperial College London. London, SW7 2AZ, UK |
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| Abstract: | 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) |
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