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|Title: ||Fractional generalization of Fick's law: a microscopic approach|
|Author(s): ||Calvo, Iván|
Carreras, Benjamín A.
Van Milligen, Boudewijn Ph.
|Publisher: ||The American Physical Society|
|Issued date: ||7-Dec-2007|
|Citation: ||Phys. Rev. Lett. 99, 230603 (2007)|
|Description: ||4 pages, no figures.-- PACS nrs.: 05.60.-k, 05.10.Gg, 05.40.Fb.-- ArXiv preprint available at: http://arxiv.org/abs/0712.1798|
|Abstract: ||In the study of transport in inhomogeneous systems it is common to construct transport equations invoking the inhomogeneous Fick law. The validity of this approach requires that at least two ingredients be present in the system. First, finite characteristic length and time scales associated with the dominant transport process must exist. Second, the transport mechanism must satisfy a microscopic symmetry: global reversibility. Global reversibility is often satisfied in nature. However, many complex systems exhibit a lack of finite characteristic scales. In this Letter we show how to construct a generalization of the inhomogeneous Fick law that does not require the existence of characteristic scales while still satisfying global reversibility.|
|Sponsor: ||Part of this research was sponsored by the Laboratory Research and Development Program of the Oak Ridge National Laboratory, managed by UT-Battelle, LLC, for the US-DOE under Contract No. DE-AC05-00OR22725.|
|Publisher version: ||http://dx.doi.org/10.1103/PhysRevLett.99.230603|
|Keywords: ||[PACS] Transport processes|
[PACS] Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
[PACS] Random walks and Levy flights
|Rights: ||© The American Physical Society|
|Appears in Collections:||DF - GFP - Artículos de revistas|
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