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Quasi-diffusion and correlations in models of anisotropic transport

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  • Bakunin, O.G.

Abstract

This paper deals with scaling laws that describe transport and correlation effects in anisotropic mediums. Diffusion approximation of correlation effects is considered in a system of perpendicular random steady flows by using the Corrsin conjecture. The correlation properties of several well-known diffusive models in an anisotropic medium are investigated. We show that superdiffusive and subdiffusive behavior in the anisotropic medium with strong longitudinal correlations can be described by a single fractional differential equation. In the considered model we obtain the relationship between the Hurst exponent H, describing transverse diffusion and the correlation exponent α by the simple expression, H=1−α/4. This result is in agreement with an analogous scaling law for isotropic medium.

Suggested Citation

  • Bakunin, O.G., 2004. "Quasi-diffusion and correlations in models of anisotropic transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 27-35.
    • Handle: RePEc:eee:phsmap:v:337:y:2004:i:1:p:27-35
    DOI: 10.1016/j.physa.2004.01.049
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