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Calvo I, Sánchez R, Carreras BA, et al. Fractional generalization of Fick's law: a microscopic approach. Phys Rev Lett. 2007;99(23):230603doi: 10.1103/PhysRevLett.99.230603.
Calvo, I., Sánchez, R., Carreras, B. A., & van Milligen, B. P. (2007). Fractional generalization of Fick's law: a microscopic approach. Physical review letters, 99(23), 230603. https://doi.org/10.1103/PhysRevLett.99.230603
Calvo, I, et al. "Fractional generalization of Fick's law: a microscopic approach." Physical review letters vol. 99,23 (2007): 230603. doi: https://doi.org/10.1103/PhysRevLett.99.230603
Calvo I, Sánchez R, Carreras BA, van Milligen BP. Fractional generalization of Fick's law: a microscopic approach. Phys Rev Lett. 2007 Dec 07;99(23):230603. doi: 10.1103/PhysRevLett.99.230603. Epub 2007 Dec 07. PMID: 18233351.
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Phys Rev Lett. 2007 Dec 07;99(23):230603. doi: 10.1103/PhysRevLett.99.230603. Epub 2007 Dec 07.

Fractional generalization of Fick's law: a microscopic approach.

Physical review letters

I Calvo, R Sánchez, B A Carreras, B Ph van Milligen

Affiliations

  1. Laboratorio Nacional de Fusión, Asociación EURATOM-CIEMAT, 28040 Madrid, Spain.

PMID: 18233351 DOI: 10.1103/PhysRevLett.99.230603

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.

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