Statistical description of the shear-induced diffusion of a suspension of non-Brownian particles

Revista Mexicana de Fisica

Volumn 55, Issue 2, 2009, Pages 77-83

  Santamaria Holek I ^a   Barrios, G ^a   Rubi, J M ^b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b UNIVERSITY OF BARCELONA   (Spain)

Author keywords

Irreversibility; Lattice boltzmann; Mesoscopic entropy; Shear induced diffusion

Indexed keywords

EID: 68849083693     PISSN: 0035001X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (39)

1. I. Prigogine, Les lois du chaos (Flammarion, Paris, 1993).
2. D.J. Pine, J.P. Gollub, J.F. Brady, and A.M. Leshansky, Nature 438 (2005) 997.
3. D. Drazer, J. Koplik, B. Khusid, and A. Acrivos, J. Fluid Mech. 460 (2002) 307.
4. V. Breedveld, D. van den Ende, A. Tripathi, and A. Acrivos, J. Fluid Mech. 375 (1998) 297.
5. G.I. Taylor and J. Friedman, Low Reynolds Number Flows (National Committe on Fluid Mechanics Films, Encyclopedia Britannica Educational Corp., United States, 1996).
6. A. Seriou and J.F. Brady, J. Fluid Mech. 506 (2004) 285.
7. G. Boffeta, M. Cencini, M. Falcioni, and A. Vulpiani, Phys. Rep. 356 (2002) 367.
8. I. Santamaría-Holek, D. Reguera, and J. M. Rubi, Phys. Rev. E 63 (2001) 051106.
9. I. Santamaría-Holek, J.M. Rubi, A. Pérez-Madrid, New J. Phys 7 (2005) 35.
10. D. Reguera, J.M. G. Vilar, and J.M. Rubi, J. Phys. Chem. B 109 (2005) 21502.
11. R. Zwanzig, Adv. Chem. Phys. 15 (1969) 325.
12. W.V. Saarloos and P. Mazur, Physica A 120 (1983) 77; Physica A 127 (1984) 451.
13. Physica A 127 1984 451.
14. M. López de Haro, J.M. Rubi, J.Chem. Phys. 88 (1987 1248).
15. L. Yeomans-Reyna, H. Acuña-Campa, and M. Medina-Noyola, Phys. Rev. E 62 (2000) 3395.
16. J.M. Rubi and P. Mazur, Physica A 250 (1998) 253.
17. G. Ryskin, Phys. Rev. Lett. 61 (1988) 01442.
18. R. Mauri and D. Leporini, Europhys. Lett. 76 (2006) 1022.
19. S. Sarman, D.J. Evans, and A. Baranyai, Phys. Rev. E 46 (1992) 893.
20. C.I. Mendoza and I. Santamaría-Holek, 130 (2009) 044904.
21. Y. Drossinos and M.W. Reeks, Phys. Rev. E 71 (2005) 031113.
22. G. Subramanian and J.F. Brady, Physica A 334 (2004) 343.
23. A.V. Popov and R. Hernandez, J. Chem. Phys. 126 (2007) 244506.
24. R. Rodŕi{dotless}guez, E. Salinas-Rodríguez, and J. Dufty, J. Stat. Phys. 32 (1983) 279.
25. J.V. Sengers and J.M. Ortíz de Zárate, J. Non-Equilib. Thermodyn. 32 (2007) 319.
26. S.R. de Groot and P. Mazur, Non-equilibrium Thermodynamics (Dover, New York, 1984).
27. J.W. Dufty and J.M. Rubi, Phys. Rev. A 36 (1987) 222.
28. P. Mazur and D. Bedeaux, Physica A 76 (1974) 235.
29. J. Happel and H. Brenner, Low Reynolds number hydrodynamics (Kluwer Academic Publishers, Dordrecht, 1991).
30. I. Santamaría-Holek, G. Barrios, and J.M. Rubi, Phys. Rev. E 79 (2009) 031201.
31. G. Bossis and J.F. Brady, J. Chem. Phys 91 (1989) 1866.
32. K.F. Freed and M. Muthukumar, J. Chem. Phys. 69 (1978) 2657.
33. M. Mayorga, L. Romero-Salazar, and J.M. Rubi, Physica A 307 (2002) 297.
34. Y. Qian, D. d'Humieres, and P. Lallemand, Eur. Phys. Lett. 17 (1992) 479.
35. P.L. Bhatnagar, E.P. Gross, and M. Krook, Phys. Rev. 94 (1954) 511.
36. X. He and L.S. Luo, Phys. Rev. E 56 (1997) 6811.
37. C.K. Aidun, Y. Lu, and E.J. Ding, J. Fluid Mech. 373 287 (1998).
38. A.J.C. Ladd, J. Fluid Mech. 271 (1994) 285; A.J.C. Ladd, J. Fluid Mech. 271 (1994) 311.
39. A. J. C. Ladd, J. Fluid Mech 271 1994 311.