Transition to irreversibility in sheared suspensions: An analysis based on a mesoscopic entropy production

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

Volumn 79, Issue 3, 2009, Pages

  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

[No Author keywords available]

Indexed keywords

ENTROPY; POWER SPECTRUM; REYNOLDS NUMBER; THERMODYNAMICS; TITRATION;

APPLIED STRAINS; EFFECTIVE DIFFUSION COEFFICIENTS; ENTROPY PRODUCTIONS; LATTICE-BOLTZMANN SIMULATIONS; MEAN SQUARE DISPLACEMENTS; MESOSCOPIC; ONSAGER; OSCILLATORY SHEAR FLOWS; PARTICLE DIAMETERS; PARTICLE POSITIONS; SECOND LAW OF THERMODYNAMICS; SHEAR-INDUCED DIFFUSIONS; THERMODYNAMIC EXPLANATIONS;

SUSPENSIONS (FLUIDS);

EID: 63249092679     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.031201     Document Type: Article

References (37)

1. D. J. Pine, J. P. Gollub, J. F. Brady, and A. M. Leshansky, Nature (London) 438, 997 (2005). 10.1038/nature04380
2. G. Drazer, J. Koplik, B. Khusid, and A. Acrivos, J. Fluid Mech. 460, 307 (2002). 10.1017/S0022112002008261
3. V. Breedveld, D. van den Ende, A. Tripathi, and A. Acrivos, J. Fluid Mech. 375, 297 (1998). 10.1017/S0022112098002808
4. G. I. Taylor and J. Friedman, Low Reynolds Number Flows, National Committee on Fluid Mechanics Films (Encyclopedia Britannica Educational Corp., United States, 1996).
5. A. Seriou and J. F. Brady, J. Fluid Mech. 506, 285 (2004). 10.1017/S0022112004008651
6. G. Boffeta, M. Cencini, M. Falcioni, and A. Vulpiani, Phys. Rep. 356, 367 (2002). 10.1016/S0370-1573(01)00025-4
7. I. Santamaría-Holek, D. Reguera, and J. M. Rubi, Phys. Rev. E 63, 051106 (2001). 10.1103/PhysRevE.63.051106
8. I. Santamaría-Holek, J. M. Rubi, and A. Pérez-Madrid, New J. Phys. 7, 35 (2005). 10.1088/1367-2630/7/1/035
9. D. Reguera, J. M. G. Vilar, and J. M. Rubi, J. Phys. Chem. B 109, 21502 (2005). 10.1021/jp052904i
10. R. Zwanzig, Adv. Chem. Phys. 15, 325 (1969). 10.1002/9780470143605.ch17
11. W. V. Saarloos and P. Mazur, Physica A 120, 77 (1983); 10.1016/0378-4371(83)90268-6
12. C. W. J. Beenakker, W. V. Saarloos and P. Mazur, Physica A 127, 451 (1984). 10.1016/0378-4371(84)90036-0
13. M. López de Haro and J. M. Rubi, J. Chem. Phys. 88, 1248 (1987). 10.1063/1.454245
14. L. Yeomans-Reyna, H. Acuña-Campa, and M. Medina-Noyola, Phys. Rev. E 62, 3395 (2000). 10.1103/PhysRevE.62.3395
15. J. M. Rubi and P. Mazur, Physica A 250, 253 (1998). 10.1016/S0378- 4371(97)00463-9
16. G. Ryskin, Phys. Rev. Lett. 61, 01442 (1988). 10.1103/PhysRevLett.61.1442
17. R. Mauri and D. Leporini, Europhys. Lett. 76, 1022 (2006). 10.1209/epl/i2006-10386-y
18. S. Sarman, D. J. Evans, and A. Baranyai, Phys. Rev. A 46, 893 (1992). 10.1103/PhysRevA.46.893
19. Y. Drossinos and M. W. Reeks, Phys. Rev. E 71, 031113 (2005). 10.1103/PhysRevE.71.031113
20. G. Subramanian and J. F. Brady, Physica A 334, 343 (2004). 10.1016/j.physa.2003.10.055
21. A. V. Popov and R. Hernandez, J. Chem. Phys. 126, 244506 (2007). 10.1063/1.2743032
22. R. Rodríguez, E. Salinas-Rodríguez, and J. Dufty, J. Stat. Phys. 32, 279 (1983). 10.1007/BF01012711
23. J. V. Sengers and J. M. Ortíz de Zárate, J. Non-Equil. Thermodyn. 32, 319329 (2007).
24. S. R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics (Dover, New York, 1984).
25. J. W. Dufty and J. M. Rubi, Phys. Rev. A 36, 222 (1987). 10.1103/PhysRevA.36.222
26. P. Mazur and D. Bedeaux, Physica (Utrecht) 76, 235 (1974). 10.1016/0031-8914(74)90197-9
27. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Kluwer Academic, Dordrecht, 1991).
28. G. Bossis and J. F. Brady, J. Chem. Phys. 91, 1866 (1989). 10.1063/1.457091
29. K. F. Freed and M. Muthukumar, J. Chem. Phys. 69, 2657 (1978). 10.1063/1.436914
30. M. Mayorga, L. Romero-Salazar, and J. M. Rubi, Physica A 307, 297 (2002). 10.1016/S0378-4371(01)00617-3
31. T. L. Hill, An Introduction to Statistical Thermodynamics (Dover, New York, 1986).
32. Y. Qian, D. d'Humieres, and P. Lallemand, Europhys. Lett. 17, 479 (1992). 10.1209/0295-5075/17/6/001
33. P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. 94, 511 (1954). 10.1103/PhysRev.94.511
34. X. He and L. S. Luo, Phys. Rev. E 56, 6811 (1997). 10.1103/PhysRevE.56. 6811
35. C. K. Aidun, Y. Lu, and E. J. Ding, J. Fluid Mech. 373, 287 (1998). 10.1017/S0022112098002493
36. A. J. C. Ladd, J. Fluid Mech. 271, 285 (1994); 10.1017/S0022112094001771
37. A. J. C. Ladd, J. Fluid Mech. 271, 311 (1994). 10.1017/S0022112094001783