RT Journal Article
T1 Fractional generalization of Fick's law: a microscopic approach
A1 Calvo, Iván
A1 Sánchez, Raúl
A1 Carreras, Benjamín A.
A1 Van Milligen, Boudewijn Ph.
AB 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.
PB The American Physical Society
SN 0031-9007
YR 2007
FD 2007-12-07
LK http://hdl.handle.net/10016/8903
UL http://hdl.handle.net/10016/8903
LA eng
NO 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
NO 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.
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