Random advection in a fractal medium with finite correlation length

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 5, 2007, Pages

  Kondratenko, Peter S ^a   Matveev, Leonid V ^a  

^a NUCLEAR SAFETY INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; CORRELATION THEORY; DIFFUSION; MATHEMATICAL TRANSFORMATIONS;

FINITE CORRELATION LENGTH; FRACTAL MEDIA; SUPERDIFFUSIVE REGIMES; TWO-STAGE STRUCTURE;

FRACTALS;

EID: 34247874800     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.051102     Document Type: Article

References (20)

1. M. B. Isichenko, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.64. 961 64, 961 (1992).
2. M. Sahimi, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.1393 65, 1393 (1993).
3. R. A. Guyer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.7816 34, 7816 (1986).
4. A. Compte and M. O. Cáceres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3140 81, 3140 (1998).
5. K. Chukbar and V. Zaburdaev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.061105 71, 061105 (2005).
6. E. Bonnet, O. Bour, N. E. Odlimg, P. Davy, I. Main, P. Cowie, and B. Berkowitz, Rev. Geophys. REGEEP 8755-1209 10.1029/1999RG000074 39, 347 (2001).
7. M. Sahimi, M. C. Robertson, and C. G. Sammis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.2186 70, 2186 (1993).
8. D. L. Koch and J. F. Brady, Phys. Fluids A PFADEB 0899-8213 10.1063/1.857522 1, 47 (1989).
9. A. M. Dykhne, I. L. Dranikov, P. S. Kondratenko, and L. V. Matveev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.061104 72, 061104 (2005).
10. R. A. Guyer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.32.2324 32, 2324 (1985).
11. H. E. Roman and M. Giona, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/25/8/024 25, 2107 (1992).
12. D. ben-Avraham and S. Havlin, Diffusion and Reaction in Fractals and Disordered Systems (Cambridge University Press, Cambridge, 2000).
13. A. A. Abrikosov and L. P. Gor'kov, Sov. Phys. JETP SPHJAR 0038-5646 8, 1090 (1958);
14. A. A. Abrikosov and L. P. Gor'kov Sov. Phys. JETP SPHJAR 0038-5646 9, 220 (1959).
15. V. M. Finkel'berg, Sov. Phys. JETP SPHJAR 0038-5646 26, 268 (1967).
16. Yu. A. Dreizin and A. M. Dykhne, Sov. Phys. JETP SPHJAR 0038-5646 36, 127 (1972).
17. J.-P. Bouchaud and A. Georges, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N 195, 127 (1990).
18. A. A. Abrikosov, L. P. Gor'kov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Prentice Hall, Englewood Cliffs, NJ, 1963).
19. S.-K. Ma, Modern Theory of Critical Phenomena (Benjamin, London, 1976).
20. A. M. Dykhne, P. S. Kondratenko, and L. V. Matveev, JETP Lett. JTPLA2 0021-3640 10.1134/1.1830658 80, 410 (2004).