Mode-coupling theory of sheared dense granular liquids

Progress of Theoretical Physics

Volumn 119, Issue 3, 2008, Pages 381-402

  Hayakawa, Hisao ^a   Otsuki, Michio ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 46949103860     PISSN: 0033068X     EISSN: 13474081     Source Type: Journal    
DOI: 10.1143/PTP.119.381     Document Type: Article

References (54)

1. H. M. Jaeger, S. R. Nagel and R. P. Behringer, Rev. Mod. Phys. 68 (1996), 1259.
2. A. J. Liu and S. R. Nagel, Nature 396 (1998), 21.
3. ed. M. Miguel and M. Rubi, Jamming, Yielding and Irreversible Deformation in Condensed Matter (Springer-Verlag, Berlin, 2006).
4. M. E. Cates, J. P. Wittmer, J.-P. Bouchaud and P. Claudin, Phys. Rev. Lett. 81 (1998), 1841.
5. A. Coniglio and M. Nicodemi, J. of Phys.: Cond. Mat. 12 (2000), 6601.
6. E. Silbert, D. Ertas, G. C. Grest, T. C. Halsey and D. Levine, Phys. Rev. E 65 (2002), 051307.
7. H. A. Makse and J. Kurchan, Nature 415 (2002), 614.
8. A. Fierro, M. Nicodemi, M. Tarzia, A. de Candia and A. Coniglio, Phys. Rev. E 71 (2005), 061305.
9. A. Coniglio, A. Fierro, A. de Candia, M. Nicodemi, M. Tarzia and M. Pica Ciamarra, Jamming, Yielding and Irreversible Deformation in Condensed Matter (Springer-Verlag, Berlin, 2006), p. 53.
10. T. Hatano, M. Otsuki and S. Sasa, J. Phys. Soc. Jpn. 76 (2007), 023001.
11. T. Hatano, Phys. Rev. E 75 (2007), 060301(R).
12. T. S. Majumdar, M. Sperl, S. Luding and R. P. Behringer, Phys. Rev. Lett. 98 (2007), 058001.
13. F. Krzakala and J. Kurchan, Phys. Rev. E 76 (2007), 021122.
14. K. Miyazaki and D. R. Reichman, Phys. Rev. E 66 (2002), 050501(R).
15. M. Fuchs and M. E. Cates, Phys. Rev. Lett. 89 (2002), 248304;
16. Faraday Discuss. 123 (2002), 267.
17. K. Miyazaki, D. Reichman and R. Yamamoto, Phys. Rev. E 70 (2004), 011501.
18. M. Fuchs and M. E. Cates, J. of Phys.: Cond. Mat. 17 (2005), S1681.
19. O. Dauchot, G. Marty and G. Biroli, Phys. Rev. Lett. 95 (2005), 265701.
20. M. Otsuki and H. Hayakawa, arXiv:0711.1421.
21. N. V. Brilliantov and T. Pöschel, Kinetic Theory of Granular Gases (Oxford University Press, Oxford, 2004).
22. J. T. Jenkins and M. W. Richman, Phys. Fluids 28 (1985), 3485.
23. V. Garzó and J. W. Dufty, Phys. Rev. E 59 (1998), 5895.
24. J. F. Lutsko, Phys. Rev. E 72 (2005), 021306.
25. K. Saitoh and H. Hayakawa, Phys. Rev. E 75 (2007), 021302.
26. H. Hayakawa and M. Otsuki, Phys. Rev. E 76 (2007), 051304.
27. S. F. Edwards and R. B. S. Oakeshott, Physica A 157 (1989), 1080.
28. W. Götze, in Liquid, Freezing and Glass Transition, Les Houches Session LI, 1989, ed. J-P. Hansen, D. Levesque and J. Zinn-Justin (Elsevier, Amsterdam, 1991).
29. K. Binder and W. Kob, Glassy Materials and Disordered Solids (World Scientific, Singapore, 2005).
30. D. R. Reichman and P. Chabonneau, J. Stat. Mech.: Theory Exp. (2005), P05013.
31. R. Zwanzig, Nonequilibrium Statistical Mexhanics (Oxford University Press, Oxford, 2001).
32. J-.P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd Edition (Academic Press, London, 1986).
33. J. J. Brey, J. Dufty and A. Santos, J. Stat. Phys. 87 (1997), 1051.
34. J. W. Dufty, A. Baskaran and J. J. Brey, cond-mat/0612408.
35. A. Baskaran, J. W. Dufty and J. J. Brey, cond-mat/0612409.
36. D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilbrium Liquids (Academic Press, London, 1990).
37. W. G. Hoover, D. J. Evans, R. B. Hickman, A. J. T. Ladd, W. T. Ashurst and B. Mortan, Phys. Rev. A 22 (1990), 1690.
38. P. Résibois and M. de Leener, Classical Kinetic Theory of Fluids (John Wiley & Sons, New York, 1977).
39. A. Onuki, Phase Transition Dynamics (Cambridge University Press, Cambridge, 2002).
40. See also A. Onuki, J. of Phys.: Cond. Mat. 9 (1997), 6119.
41. U. Balucani and M. Zoppi, Dynamics of the Liquid State (Oxford University Press, Oxford, 1994).
42. J. Lutsko, Phys. Rev. E 63 (2001), 061211.
43. M. Alam and S. Luding, Phys. Fluids 15 (2003), 2298.
44. N. Mitarai and H. Nakanishi, Phys. Rev. E 75 (2007), 031305.
45. N. Mitarai and H. Nakanishi, Phys. Rev. Lett. 94 (2005), 128001.
46. L. Berthier and J-C. Barrat, J. Chem. Phys. 116 (2002), 6228.
47. T. Hatano, private communications. His best evaluated β is β ≃ 1.1.
48. P. Olsson and S. Teitel, Phys. Rev. Lett. 99 (2007), 178001.
49. C. S. O'Hern, L. E. Silbert, A. J. Liu and S. R. Nagel, Phys. Rev. E 68 (2003), 011306.
50. K. Miyazaki and D. Reichman, J. of Phys. A 38 (2005), L343.
51. A. Andereanov, G. Biroli and A. Lefevre, J. Stat. Mech.: Theory Exp. (2006), P07008.
52. B. Kim and K. Kawasaki, J. of Phys. A 40 (2007), F33.
53. T-H. Nishino and H. Hayakawa, in preparation.
54. H. S. Green, The Molecular Theory of Fluids (North-Holland, Amsterdam, 1952).