Spatial correlations in sheared isothermal liquids: From elastic particles to granular particles

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

Volumn 79, Issue 2, 2009, Pages

  Otsuki, Michio ^a,b   Hayakawa, Hisao ^a  

^a KYOTO UNIVERSITY   (Japan)

^b AOYAMA GAKUIN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

LIQUIDS;

CORRELATION FUNCTIONS; ELASTIC PARTICLES; GRANULAR PARTICLES; LONG-RANGE CORRELATIONS; MACROSCOPIC SCALE; MICROSCOPIC SCALE; MOLECULAR-DYNAMICS SIMULATIONS; POWER LAWS; SPATIAL CORRELATIONS; THEORETICAL PREDICTIONS;

FLUID DYNAMICS;

EID: 61949121879     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.021502     Document Type: Article

References (55)

1. J-P. Hansen and McDonald, Theory of Simple Liquids, 2nd ed. (Academic, London, 1986).
2. U. Balucani and M. Zoppi, Dynamics of the Liquid State (Oxford University Press, Oxford, 1994).
3. Igor S. Aranson and Lev S. Tsimring, Rev. Mod. Phys. 78, 641 (2006). 10.1103/RevModPhys.78.641
4. O. Pouliquen, Phys. Fluids 11, 542 (1999). 10.1063/1.869928
5. L. E. Silbert, D. Ertaş, G. S. Grest, T. C. Halsey, D. Levine, and S. J. Plimpton, Phys. Rev. E 64, 051302 (2001). 10.1103/PhysRevE.64.051302
6. J. F. Lutsko, Phys. Rev. E 63, 061211 (2001). 10.1103/PhysRevE.63.061211
7. M. Alam and S. Luding, Phys. Fluids 15, 2298 (2003). 10.1063/1.1587723
8. GDR MiDi, Eur. Phys. J. E 14, 341 (2004).
9. J. F. Lutsko, Phys. Rev. E 70, 061101 (2004). 10.1103/PhysRevE.70.061101
10. N. Mitarai and H. Nakanishi, Phys. Rev. Lett. 94, 128001 (2005). 10.1103/PhysRevLett.94.128001
11. V. Kumaran, Phys. Rev. Lett. 96, 258002 (2006). 10.1103/PhysRevLett.96. 258002
12. A. V. Orpe and A. Kudrolli, Phys. Rev. Lett. 98, 238001 (2007). 10.1103/PhysRevLett.98.238001
13. K. Saitoh and H. Hayakawa, Phys. Rev. E 75, 021302 (2007). 10.1103/PhysRevE.75.021302
14. N. Mitarai and H. Nakanishi, Phys. Rev. E 75, 031305 (2007). 10.1103/PhysRevE.75.031305
15. H. Hayakawa and M. Otsuki, Phys. Rev. E 76, 051304 (2007). 10.1103/PhysRevE.76.051304
16. M. Otsuki and H. Hayakawa, e-print arXiv:0711.1421.
17. H. Hayakawa and M. Otsuki, Prog. Theor. Phys. 119, 381 (2008). 10.1143/PTP.119.381
18. A. V. Orpe, V. Kumaran, K. A. Reddy, and A. Kudrolli, e-print arXiv:0811.2848.
19. H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996). 10.1103/RevModPhys.68.1259
20. N. Brilliantov and T. Pöschel, Kinetic Theory of Granular Gases (Oxford University Press, Oxford, 2004).
21. J. T. Jenkins and M. W. Richman, Phys. Fluids 28, 3485 (1985). 10.1063/1.865302
22. J. T. Jenkins and M. W. Richman, Arch. Ration. Mech. Anal. 87, 355 (1985). 10.1007/BF00250919
23. V. Garzó and J. W. Dufty, Phys. Rev. E 59, 5895 (1999). 10.1103/PhysRevE.59.5895
24. J. F. Lutsko, Phys. Rev. E 72, 021306 (2005). 10.1103/PhysRevE.72.021306
25. H. Hayakawa and M. Otsuki, e-print arXiv:0805.1515, Prog. Theor. Phys. Suppl. (to be published).
26. M. Otsuki and H. Hayakawa, e-print arXiv:0805.1516, Prog. Theor. Phys. Suppl. (to be published).
27. V. Kumaran, Phys. Rev. E 79, 011301 (2009). 10.1103/PhysRevE.79.011301
28. J. F. Lutsko and J. W. Dufty, Phys. Rev. A 32, 3040 (1985). 10.1103/PhysRevA.32.3040
29. J. F. Lutsko and J. W. Dufty, Phys. Rev. E 66, 041206 (2002). 10.1103/PhysRevE.66.041206
30. H. Wada and S. I. Sasa, Phys. Rev. E 67, 065302 (R) (2003). 10.1103/PhysRevE.67.065302
31. B. M. Law, R. W. Gammon, and J. V. Sengers, Phys. Rev. Lett. 60, 1554 (1988). 10.1103/PhysRevLett.60.1554
32. P. N. Segrè, R. W. Gammon, J. V. Sengers, and B. M. Law, Phys. Rev. A 45, 714 (1992). 10.1103/PhysRevA.45.714
33. P. N. Segrè, R. W. Gammon, and J. V. Sengers, Phys. Rev. E 47, 1026 (1993). 10.1103/PhysRevE.47.1026
34. J. R. Dorfman, T. R. Kirkpatrick and V. Sengers, Annu. Rev. Phys. Chem. 45, 213 (1994). 10.1146/annurev.pc.45.100194.001241
35. W. B. Li, J. V. Sengers, R. W. Gammon, and P. N. Segrè, Int. J. Thermophys. 16, 23 (1995). 10.1007/BF01438954
36. W. B. Li, K. J. Zhang, J. V. Sengers, R. W. Gammon, and J. M. Ortiz de Zárate, Phys. Rev. Lett. 81, 5580 (1998). 10.1103/PhysRevLett.81.5580
37. W. B. Li, K. J. Zhang, J. V. Sengers, R. W. Gammon, and J. M. Ortiz de Zárate, J. Chem. Phys. 112, 9139 (2000). 10.1063/1.481524
38. M. Otsuki and H. Hayakawa, e-print arXiv:0809.1118, Proc. Rarefied Gas Dynamics (to be published).
39. J. F. Lutsko, Phys. Rev. E 66, 051109 (2002). 10.1103/PhysRevE.66.051109
40. W. W. Götze, in Liquids, Freezing and Glass Transition, edited by, J. P. Hansen, D. Levesque, and, J. Zinn-Justin, (North-Holland, Amsterdam, 1991).
41. S. P. Das, Rev. Mod. Phys. 76, 785 (2004). 10.1103/RevModPhys.76.785
42. D. R. Reichman, J. Stat. Mech.: Theory Exp. 2005, P05013. 10.1088/1742-5468/2005/05/P05013
43. T. R. Kirkpatrick, Phys. Rev. A 32, 3130 (1985). 10.1103/PhysRevA.32.3130
44. T. R. Kirkpatrick and J. C. Nieuwoudt, Phys. Rev. A 33, 2651 (1986). 10.1103/PhysRevA.33.2651
45. S. P. Das, Phys. Rev. A 42, 6116 (1990). 10.1103/PhysRevA.42.6116
46. S. Sinha and M. C. Marchetti, Phys. Rev. A 46, 4942 (1992). 10.1103/PhysRevA.46.4942
47. I. M. de Schepper and E. G. D. Cohen, J. Stat. Phys. 27, 223 (1982). 10.1007/BF01008939
48. W. E. Alley and B. J. Alder, Phys. Rev. A 27, 3158 (1983). 10.1103/PhysRevA.27.3158
49. T. P. C. van Noije, M. H. Ernst, R. Brito, and J. A. G. Orza, Phys. Rev. Lett. 79, 411 (1997). 10.1103/PhysRevLett.79.411
50. M. Alam, P. Shukla, and S. Luding, J. Fluid Mech. 615, 293 (2008). 10.1017/S0022112008003832
51. M. Alam and P. R. Nott, J. Fluid Mech. 377, 99 (1998). 10.1017/S002211209800295X
52. M. Alam and P. R. Nott, J. Fluid Mech. 343, 267 (1997). 10.1017/S0022112097005879
53. M. Lee and J. W. Dufty, Phys. Rev. E 56, 1733 (1997). 10.1103/PhysRevE.56.1733
54. M. Fuchs and M. E. Cates, Phys. Rev. Lett. 89, 248304 (2002). 10.1103/PhysRevLett.89.248304
55. K. Miyazaki, D. R. Reichman, and R. Yamamoto, Phys. Rev. E 70, 011501 (2004). 10.1103/PhysRevE.70.011501