Effective transport in random shear flows

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

Volumn 77, Issue 2, 2008, Pages

  Dentz, Marco ^a   Le Borgne, Tanguy ^b   Carrera, Jesus ^c  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSITÉ DE RENNES 1   (France)

^c INSTITUTE OF EARTH SCIENCES JAUME ALMERA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

GAUSSIAN NOISE (ELECTRONIC); LAGRANGE MULTIPLIERS; RANDOM PROCESSES;

DISTRIBUTION DENSITY; GAUSSIAN SCALING; RANDOM SHEAR FLOWS;

SHEAR FLOW;

EID: 38949120255     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.020101     Document Type: Article

References (23)

1. J. P. Bouchaud and A. Georges, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N 195, 127 (1990).
2. E. Frey and K. Krog, Ann. Phys. ANPYA2 0003-3804 10.1002/andp.200410132 14, 20 (2005).
3. B. Berkowitz, A. Cortis, M. Dentz, and H. Scher, Rev. Geophys. REGEEP 8755-1209 44, 2005RG000178 (2006).
4. R. Metzler and J. Klafter, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3 339, 1, (2000).
5. G. Matheron and G. de Marsily, Water Resour. Res. WRERAQ 0043-1397 16, 901 (1980).
6. J. P. Bouchaud, A. Georges, J. Koplik, A. Provata, and S. Redner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.2503 64, 2503 (1990).
7. S. N. Majumdar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.050101 68, 050101 (R) (2003).
8. J. Carrera, J. Contam. Hydrol. JCOHE6 0169-7722 10.1016/0169-7722(93) 90049-X 13, 23 (1993).
9. B. Berkowitz and H. Scher, Transp. Porous Media TPMEEI 0169-3913 10.1023/A:1006785018970 42, 241 (2001).
10. H. Risken, The Fokker-Planck Equation (Springer, Heidelberg/New York, 1996).
11. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II, Non-Equilibrium Statistical Mechanics (Springer-Verlag, Berlin/Heidelberg, 1991).
12. R. Zwanzig, Lectures in Theoretical Physics (Interscience, NY, 1961), Vol. III.
13. H. Mori, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.34.399 34, 399 (1965).
14. J. Cushman and T. Ginn, Transp. Porous Media TPMEEI 0169-3913 10.1007/BF00613273 13, 123 (1993).
15. T. Le Borgne, J. R. de Dreuzy, P. Davy, and O. Bour, Water Resour. Res. WRERAQ 0043-1397 43, W02419 (2007).
16. A. H. Romero, J. M. Sancho, and K. Lindenberg, Fluct. Noise Lett. ZZZZZZ 0219-4775 2, L79 (2002).
17. B. B. Mandelbrot and J. W. van Ness, SIAM Rev. SIREAD 0036-1445 10, 422 (1968).
18. K. G. Wang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.833 45, 833 (1992).
19. V. O. Nams, Anim. Behav. ANBEA8 0003-3472 72, 1197 (2006).
20. M. Clincy and H. Kinzelbach, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/36/302 34, 7141 (2001).
21. S. Redner, Physica A PHYADX 0378-4371 10.1016/0378-4371(90)90408-K 168, 551 (1990).
22. M. Dentz and J. Carrera, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2427089 19, 017107 (2007).
23. M. Dentz (unpublished).