Subdiffusion in random compressible flows

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

Volumn 71, Issue 6, 2005, Pages

  Chukbar, Konstantin ^a   Zaburdaev, Vasily ^a,b  

^a KURCHATOV INSTITUTE   (Russian Federation)

^b MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER-LAPLACE TRANSFORM; MACROSCOPIC TRANSPORT; RANDOM POTENTIAL; VELOCITY FIELD;

COMPRESSIBLE FLOW; FOURIER TRANSFORMS; LAPLACE TRANSFORMS; PROBLEM SOLVING; RANDOM PROCESSES; TRANSPORT PROPERTIES;

DIFFUSION;

EID: 27944503324     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.061105     Document Type: Article

References (23)

1. M. B. Isichenko, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.64. 961 64, 961 (1992).
2. O. G. Bakunin, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/67/6/ R04 67, 965 (2004).
3. J.-P. Bouchand and A. Georges, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N 195, 127 (1990).
4. S. Havlin and D. Ben-Avraham, Adv. Phys. ADPHAH 0001-8732 36, 695 (1987).
5. I. L. Dranikov, P. S. Kondratenko, and L. V. Matveev, JETP JTPHES 1063-7761 10.1134/1.1767561 98, 945 (2004).
6. K. V. Chukbar, JETP JTPHES 1063-7761 82, 719 (1996).
7. M. Vergassola and M. Avellaneda, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(97)00022-5 106, 148 (1997).
8. Ya. G. Sinai, Theor. Probab. Appl. TPRBAU 0040-585X 27, 247 (1982).
9. V. E. Arkhincheev, Physica A PHYADX 0378-4371 307, 131 (2002).
10. A. M. Reynolds, Physica A PHYADX 0378-4371 334, 39 (2004).
11. J. Klafter and R. Metzler, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3 339, 1 (2000).
12. K. V. Chukbar, JETP JTPHES 1063-7761 10.1134/1.557670 81, 1025 (1995).
13. V. Yu. Zaburdaev and K. V. Chukbar, JETP JTPHES 1063-7761 10.1134/1.1458474 94, 252 (2002).
14. V. V. Uchaikin, Phys. Usp. PHUSEY 1063-7869 10.1070/ PU2003v046n08ABEH001324 46, 821 (2003).
15. E. W. Montroll and M. F. Schlesinger, in Studies in Statistical Mechanics, edited by, J. Leibowitz, and, E. W. Montroll, (North-Holland, Amsterdam, 1984), Vol. 2, p. 1.
16. I. A. Lubashevskii and A. A. Zemlyanov, JETP JTPHES 1063-7761 10.1134/1.558712 87, 700 (1998).
17. L. A. Bolshov, A. M. Dykhne, and P. S. Kondratenko, JETP Lett. JTPLA2 0021-3640 10.1134/1.1478523 75, 246 (2002).
18. V. Yu. Zaburdaev, Plasma Phys. Rep. PPHREM 1063-780X (to be published).
19. V. Yu. Zaburdaev and K. V. Chukbar, JETP Lett. JTPLA2 0021-3640 10.1134/1.1595694 77, 551 (2003).
20. G. Weiss and S. Havlin, Physica A PHYADX 0378-4371 10.1016/0378-4371(86) 90060-9 134, 474 (1986).
21. S. Havlin, J. E. Kiefer, and G. H. Weiss, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.36.1403 36, 1403 (1987).
22. V. E. Arkhincheev, Physica A PHYADX 0378-4371 10.1016/S0378-4371(99) 00593-2 280, 304 (2000).
23. E. Baskin and A. Iomin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.120603 93, 120603 (2004).