Vibrations and diverging length scales near the unjamming transition

Physical Review Letters

Volumn 95, Issue 9, 2005, Pages

  Silbert, Leonardo E ^a,b,c   Liu, Andrea J ^a,c   Nagel, Sidney R ^a  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIVERGING LENGTH SCALES; POWER LAW SCALING; UNJAMMING TRANSITION; ZERO FREQUENCY;

DENSITY (OPTICAL); PACKING; TRANSITION FLOW; VECTORS; WAVE EFFECTS;

LATTICE VIBRATIONS;

EID: 27144531226     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.95.098301     Document Type: Article

References (29)

1. Jamming and Rheology, edited by, A.J. Liu, and, S.R. Nagel, (Francis & Taylor, New York, 1999).
2. Challenges in Granular Physics, edited by, T. Halsey, and, A. Mehta, (World Scientific, Singapore, 2002).
3. Unifying Concepts in Granular Media and Glasses, edited by, A. Coniglio, A. Fierro, H.J. Herrmann, and, M. Nicodemi, (Elsevier, Amsterdam, 2004).
4. F. Leonforte, A. Tanguy, J.P. Wittmer, and J.-L. Barrat, Phys. Rev. B PRBMDO 0163-1829 70, 014203 (2004). 10.1103/PhysRevB.70.014203
5. M.D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000). ARPLAP 0066-426X 10.1146/annurev.physchem.51.1.99
6. D.L. Price, M.-L. Saboungi, and F.J. Bermejo, Rep. Prog. Phys. 66, 407 (2003), and references therein. RPPHAG 0034-4885 10.1088/0034-4885/66/4/201
7. Amorphous Solids, Low Temperature Properties, edited by, W.A. Phillips, (Springer, Berlin, 1981).
8. C.S. O'Hern, S.A. Langer, A.J. Liu, and S.R. Nagel, Phys. Rev. Lett. 88, 075507 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.075507
9. C.S. O'Hern, L.E. Silbert, A.J. Liu, and S.R. Nagel, Phys. Rev. E 68, 011306 (2003). PLEEE8 1063-651X 10.1103/PhysRevE.68.011306
10. J.A. Drocco, M.B. Hastings, C.J.O. Reichhardt, and C. Reichhardt, cond-mat/0310291.
11. M. Wyart, S.R. Nagel, and T.A. Witten, cond-mat/0409687.
12. A. Rahman, M.J. Mandell, and J.P. McTague, J. Chem. Phys. 64, 1564 (1976). JCPSA6 0021-9606 10.1063/1.432380
13. S.R. Nagel, G.S. Grest, S. Feng, and L.M. Schwartz, Phys. Rev. B PRBMDO 0163-1829 34, 8667 (1986). 10.1103/PhysRevB.34.8667
14. I. Webman and G.S. Grest, Phys. Rev. B PRBMDO 0163-1829 31, 1689 (1985). 10.1103/PhysRevB.31.1689
15. T. Nakayama, K. Yakubo, and R.L. Orbach, Rev. Mod. Phys. 66, 381 (1994), and references therein. RMPHAT 0034-6861 10.1103/RevModPhys.66.381
16. T. Terao, A. Yamaya, and T. Nakayama, Phys. Rev. E 57, 4426 (1998). PLEEE8 1063-651X 10.1103/PhysRevE.57.4426
17. W. Schirmacher, G. Diezemann, and C. Ganter, Phys. Rev. Lett. 81, 136 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.136
18. T.S. Grigera, V. Martin-Mayor, G. Parisi, and P. Verrocchio, J. Phys. Condens. Matter JCOMEL 0953-8984 14, 2167 (2002). 10.1088/0953-8984/14/9/306
19. A.P. Sokolov, U. Buchenau, W. Steffen, B. Frick, and A. Wischnewski, Phys. Rev. B PRBMDO 0163-1829 52, R9815 (1995). 10.1103/PhysRevB.52.R9815
20. N.W. Ashcroft and N.D. Mermin, Solid State Physics (Brooks Cole, Belmont, MA, 1976), p. 449.
21. Y. Inamura, M. Arai, T. Otomo, N. Kitamura, and U. Buchenau, Physica (Amsterdam) PHYBE3 0921-4526 284B-288B, 1157 (2000). 10.1016/S0921-4526(99) 02788-X
22. O. Pilla, L. Angelani, A. Fontana, J.R. Goncalves, and G. Ruocco, J. Phys. Condens. Matter JCOMEL 0953-8984 15, S995 (2003); 10.1088/0953-8984/15/11/ 322
23. K. Trachenko, M.T. Dove, V. Brazhkin, and F.S. Elkin, Phys. Rev. Lett. 93, 135502 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.135502
24. G.S. Grest, S.R. Nagel, and A. Rahman, Phys. Rev. Lett. 49, 1271 (1982). PRLTAO 0031-9007 10.1103/PhysRevLett.49.1271
25. L.E. Silbert, A.J. Liu, and S.R. Nagel, in Unifying Concepts in Granular Media and Glasses (Ref.).
26. A. Tanguy, J.P. Wittmer, F. Leonforte, and J.-L. Barrat, Phys. Rev. B PRBMDO 0163-1829 66, 174205 (2002). 10.1103/PhysRevB.66.174205
27. C.F. Moukarzel, Phys. Rev. Lett. 81, 1634 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.1634
28. J. Schwarz, A.J. Liu, and L.Q. Chayes, cond-mat/0410595.
29. S. Henkes and B. Chakraborty, cond-mat/0504371.