Fluctuation-dissipation ratio for compacting granular media

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 1, 2002, Pages

  Barrat, Alain ^a   Colizza, Vittoria ^b,c   Loreto, Vittorio ^c  

^a UNIVERSITÉ PARIS SUD   (France)

^b SISSA   (Italy)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPACTION; CORRELATION METHODS; ENERGY DISSIPATION; GRAVITATION; MATHEMATICAL MODELS; THERMODYNAMICS;

EDWARD'S MEASURE; FLUCTUATION-DISSIPATION (FD) RELATIONS; KOB-ANDERSON MODEL; PARADIAGMATIC MODELS; THERMAL ENERGY;

GRANULAR MATERIALS;

EID: 41349093113     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.011310     Document Type: Article

References (54)

1. H.M. Jaeger and S.R. Nagel, Science 255, 1523 (1992).
2. H.M. Jaeger, S.R. Nagel, and R.P. Behringer, Rev. Mod. Phys. 68, 1259 (1996).
3. For a recent introduction to the overall phenomenology, see Physics of Dry Granular Media, edited by H. J. Herrmann and S. Luding (Kluwer Academic, Dordrecht, 1998), pp. 553–583.
4. J.B. Knight, C.G. Fandrich, C.N. Lau, H.M. Jaeger, and S.R. Nagel, Phys. Rev. E 51, 3957 (1995);
5. E.R. Nowak, J.B. Knight, M. Povinelli, H.M. Jaeger, and S.R. Nagel, Powder Technol. 94, 79 (1997);
6. E.R. Nowak, J.B. Knight, E. Ben-Naim, H.M. Jaeger, and S.R. Nagel, Phys. Rev. E 57, 1971 (1998);H.M. Jaeger, in Physics of Dry Granular Media (Ref. 3), pp. 553–583.
7. P. Philippe and D. Bideau (unpublished).
8. M. Nicolas, P. Duru, and O. Pouliquen, Eur. Phys. J. E 3, 309 (2000).
9. M. Nicodemi and A. Coniglio, Phys. Rev. Lett. 82, 916 (1999).
10. A. Barrat and V. Loreto, J. Phys. A 33, 4401 (2000).
11. J. Talbot, G. Tarjus, and P. Viot, Eur. Phys. J. E 5, 445 (2001).
12. C. Josserand, A. Tkachenko, D.M. Mueth, and H.M. Jaeger, Phys. Rev. Lett. 85, 3632 (2000).
13. A. Barrat and V. Loreto, Europhys. Lett. 53, 297 (2001).
14. J.J. Brey and A. Prados, J. Phys.: Condens. Matter 14, 1489 (2002).
15. H.J. Herrmann, J. Phys. II 3, 427 (1993).
16. G.C. Barker and A. Mehta, Phys. Rev. E 47, 184 (1993).
17. M. Nicodemi, A. Coniglio, and H.J. Herrmann, Phys. Rev. E 59, 6830 (1999).
18. E. Ben-Naim, J.B. Knight, and E.R. Nowak, Physica D 123, 380 (1998);
19. P.L. Krapivsky and E. Ben-Naim, J. Chem. Phys. 100, 6778 (1994).
20. T. Boutreux and P.G. de Gennes, Physica A 244, 59 (1997).
21. S.F. Edwards, in Granular Matter: An Interdisciplinary Approach, edited by A. Mehta (Springer-Verlag, New York, 1994), and references therein;
22. S.F. Edwards, J. Stat. Phys. 62, 889 (1991);
23. A. Mehta and S.F. Edwards, Physica A 157, 1091 (1989).
24. A. Mehta, R.J. Needs, and S. Dattagupta, J. Stat. Phys. 68, 1131 (1992).
25. L.C.E. Struik, Physical Ageing in Amorphous Polymers and Other Materials (Elsevier, Houston, 1978).
26. E. Caglioti, V. Loreto, H.J. Herrmann, and M. Nicodemi, Phys. Rev. Lett. 79, 1575 (1997).
27. E. Caglioti and V. Loreto, Phys. Rev. Lett. 83, 4333 (1999).
28. A. Barrat, J. Kurchan, V. Loreto, and M. Sellitto, Phys. Rev. Lett. 85, 5034 (2000).
29. A. Barrat, J. Kurchan, V. Loreto, and M. Sellitto, Phys. Rev. E 63, 051301 (2001).
30. W. Kob and H.C. Andersen, Phys. Rev. E 48, 4364 (1993).
31. V. Colizza, V. Loreto, and A. Barrat, Phys. Rev. E 65, 050301 (2002).
32. J. Brey, A. Prados, and B. Sanchez-Rey, Phys. Rev. E 60, 5685 (1999);
33. J. BreyA. PradosB. Sanchez-ReyPhysica A 275, 310 (2000).
34. A. Lefèvre and D.S. Dean, J. Phys. A 34, L213 (2001);
35. A. LefèvreD.S. DeanPhys. Rev. E 64, 046110 (2001).
36. H. Makse and J. Kurchan, Nature (London) 415, 614 (2002).
37. M. Nicodemi, Phys. Rev. Lett. 82, 3734 (1999).
38. M. Sellitto, Phys. Rev. E 63, 060301 (2001).
39. For a review, see, W. Götze, in Liquids, Freezing and Glass Transition, J.P. Hansen, D. Levesque, and J. Zinn-Justin (North Holland, Amsterdam, 1989).
40. J. Kurchan, L. Peliti, and M. Sellitto, Europhys. Lett. 39, 365 (1997).
41. M. Sellitto, Eur. J. Phys. 4, 135 (1998).
42. M. Sellitto and J.J. Arenzon, Phys. Rev. E 62, 7793 (2000).
43. A. Bortz, M.H. Kalos, and J.L. Lebowitz, J. Comput. Phys. 17, 10 (1975).
44. L.F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993);
45. L.F. CugliandoloJ. KurchanJ. Phys. A 27, 5749 (1994).
46. G. Parisi, Phys. Rev. Lett. 79, 3660 (1997).
47. W. Kob and J.L. Barrat, Europhys. Lett. 46, 637 (1999).
48. L.F. Cugliandolo, J. Kurchan, and L. Peliti, Phys. Rev. E 55, 3898 (1997).
49. I.K. Ono, C.S. O’Hern, S.A. Langer, A.J. Liu, and S.R. Nagel, e-print cond-mat/0110276.
50. L. Berthier and J.L. Barrat, e-print cond-mat/0110257;
51. L. BerthierJ.L. BarratJ. Chem. Phys. 116, 6228 (2002).
52. A. Buhot and J.P. Garrahan, Phys. Rev. Lett. 88, 225702 (2002).
53. L. Cugliandolo (private communication).
54. We will see in Sec. V that the situation is, however, more complex and that great care has to be taken when measuring FDT violations under gravity.