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Asymptotic regimes and structure of concentration tails in the Dykhne model

  • Order, Disorder, and Phase Transitions in Condensed Systems
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Abstract

A transport problem is solved for a high-contrast regularly inhomogeneous medium. Transport regimes and structure of the concentration tails in high-permeability regions are analyzed for two geometries of such regions: a plane layer and a right cylinder. It is shown that changes with time of transport regimes lead to complex asymptotic particle distributions at long distances (concentration “tails”). The time dependence of the total number of active particles and depth of particle penetration into the low-permeability region are calculated.

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References

  1. S. Havlin and D. Ben-Avraham, Adv. Phys. 36, 695 (1987).

    Article  ADS  Google Scholar 

  2. J.-P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990).

    Article  ADS  MathSciNet  Google Scholar 

  3. M. B. Isichenko, Rev. Mod. Phys. 64, 961 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  4. V. E. Arkhincheev and É. M. Baskin, Zh. Éksp. Teor. Fiz. 100, 292 (1991) [Sov. Phys. JETP 73, 161 (1991)].

    Google Scholar 

  5. E. M. Bertin and J.-P. Bouchaud, Phys. Rev. E 67, 026128 (2003).

    Google Scholar 

  6. A. V. Chechkin, R. Gorenflo, and I. M. Sokolov, Phys. Rev. E 66, 046129 (2002).

    Google Scholar 

  7. V.Yu. Zaburdaev and K. V. Chukbar, Zh. Éksp. Teor. Fiz. 121, 299 (2002) [JETP 94, 252 (2002)].

    Google Scholar 

  8. A. M. Dykhne, P. S. Kondratenko, and L. V. Matveev, Pis’ma Zh. Éksp. Teor. Fiz. 80, 464 (2004) [JETP Lett. 80, 410 (2004)].

    Google Scholar 

  9. A. M. Dykhne, I. L. Dranikov, P. S. Kondratenko, and A. V. Popov, J. Hydraul. Res. 43, 346 (2005).

    Google Scholar 

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Original Russian Text © P.S. Kondratenko, L.V. Matveev, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 131, No. 3, pp. 494–499.

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Kondratenko, P.S., Matveev, L.V. Asymptotic regimes and structure of concentration tails in the Dykhne model. J. Exp. Theor. Phys. 104, 445–450 (2007). https://doi.org/10.1134/S1063776107030107

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  • DOI: https://doi.org/10.1134/S1063776107030107

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