Dynamical heterogeneity in a model for permanent gels: Different behavior of dynamical susceptibilities

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

Volumn 78, Issue 4, 2008, Pages

  Abete, T ^a   De Candia, A ^a,b   Del Gado, E ^c   Fierro, A ^a   Coniglio, A ^a,b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b INFN SEZIONE DI NAPOLI   (Italy)

^c ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

COAGULATION; COLLOIDS; GAUSSIAN NOISE (ELECTRONIC); GELATION; GELS; PERCOLATION (COMPUTER STORAGE); PERCOLATION (SOLID STATE); PROBABILITY DENSITY FUNCTION; SOLVENTS; TRELLIS CODES;

DYNAMICAL HETEROGENEITIES; DYNAMICAL SUSCEPTIBILITIES; INCREASING FUNCTIONS; INTERMEDIATE SCATTERING FUNCTIONS; LARGE LENGTH SCALES; LONG TIMES; MEAN CLUSTER SIZES; NON-GAUSSIAN; PERCOLATION THRESHOLDS; SYSTEMATIC STUDIES; TIME BEHAVIORS; TIME LIMITS;

PERCOLATION (FLUIDS);

EID: 54549120513     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.041404     Document Type: Article

References (69)

1. M. T. Cicerone, F. R. Blackburn, and M. D. Ediger, Macromolecules MAMOBX 0024-9297 10.1021/ma00128a036 28, 8224 (1995);
2. M. T. Cicerone and M. D. Ediger, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.471433 104, 7210 (1996).
3. W. Kob, C. Donati, S. J. Plimpton, P. H. Poole, and S. C. Glotzer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2827 79, 2827 (1997).
4. S. Franz and G. Parisi, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/12/29/305 12, 6335 (2000).
5. N. Lacevic, F. W. Starr, T. B. Schroder, and S. C. Glotzer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1605094 119, 7372 (2003).
6. C. Bennemann, C. Donati, J. Baschnagel, and S. C. Glotzer, Nature (London) NATUAS 0028-0836 10.1038/20406 399, 246 (1999).
7. L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, D. El Masri, D. L'Hôte, F. Ladieu, and M. Pierno, Science SCIEAS 0036-8075 10.1126/science.1120714 310, 1797 (2005).
8. A. Widmer-Cooper, P. Harrowell, and H. Fynewever, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.135701 93, 135701 (2004).
9. J.-P. Bouchaud and G. Biroli, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.064204 72, 064204 (2005).
10. G. Biroli, J.-P Bouchaud, K. Miyazaki, and D. R. Reichman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.195701 97, 195701 (2006).
11. L. Berthier, G. Biroli, J-P Bouchaud, W. Kob, K. Miyazaki, and D. R. Reichman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2721554 126, 184503 (2007);
12. L. Berthier, G. Biroli, J-P Bouchaud, W. Kob, K. Miyazaki, and D.R. Reichman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2721555 126, 184504 (2007).
13. P. Chaudhuri, L. Berthier, and W. Kob, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.060604 99, 060604 (2007).
14. C. Dalle-Ferrier, C. Thibierge, C. Alba-Simionesco, L. Berthier, G. Biroli, J.-P. Bouchaud, F. Ladieu, D. L'Hote, and G. Tarjus, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.041510 76, 041510 (2007).
15. G. Biroli and J. P. Bouchaud, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10044-6 67, 21 (2004);
16. C. Toninelli, M. Wyart, L. Berthier, G. Biroli, and J.-P. Bouchaud, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.041505 71, 041505 (2005).
17. S. Franz, C. Donati, G. Parisi, and S. C. Glotzer, Philos. Mag. B PMABDJ 1364-2812 10.1080/014186399255953 79, 1827 (1999);
18. C. Donati, S. Franz, S. C. Glotzer, and G. Parisi, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/S0022-3093(02)01461-8 307, 215 (2002).
19. S. C. Glotzer, V. N. Novikov, and T. B. Schroder, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.480541 112, 509 (2000).
20. N. Lacevic, F. W. Starr, T. B. Schroder, V. N. Novikov, and S. C. Glotzer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.030101 66, 030101 (R) (2002).
21. D. Chandler, J. P. Garrahan, R. L. Jack, L. Maibaum, and A. C. Pan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.051501 74, 051501 (2006).
22. A. Fierro, M. Nicodemi, M. Tarzia, A. de Candia, and A. Coniglio, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.061305 71, 061305 (2005).
23. A. Lefevre, L. Berthier, and R. Stinchcombe, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.010301 72, 010301 (R) (2005).
24. O. Dauchot, G. Marty, and G. Biroli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.265701 95, 265701 (2005).
25. A. S. Keys, A. R. Abate, S. C. Glotzer, and D. J. Durian, Nat. Phys. ZZZZZZ 1745-2473 3, 260 (2007). 10.1038/nphys572
26. E. Weeks, J. C. Crocker, A. C. Levitt, A. Schofield, and D. A. Weitz, Science SCIEAS 0036-8075 10.1126/science.287.5453.627 287, 627 (2000);
27. E. R. Weeks and D. A. Weitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.095704 89, 095704 (2002).
28. L. Cipelletti and L. Ramos, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/17/6/R01 17, R253 (2005);
29. A. Duri, H. Bissig, V. Trappe, and L. Cipelletti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.051401 72, 051401 (2005);
30. A. Duri and L. Cipelletti, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10357-4 76, 972 (2006).
31. D. R. Reichman, E. Rabani, and P. L. Geissler, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp044559n 109, 14654 (2005).
32. A. M. Puertas, M. Fuchs, and M. E. Cates, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.031406 67, 031406 (2003);
33. A. M. Puertas, M. Fuchs, and M. E. Cates, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1768936 121, 2813 (2004);
34. A. M. Puertas, M. Fuchs, and M. E. Cates, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp045595p 109, 6666 (2005).
35. P. Charbonneau and D. R. Reichman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.135701 99, 135701 (2007).
36. T. Abete, A. de Candia, E. Del Gado, A. Fierro, and A. Coniglio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.088301 98, 088301 (2007).
37. J. D. Weeks, D. Chandler, and H. C. Andersen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1674820 54, 5237 (1971).
38. H. R. Warner, Ind. Eng. Chem. Fundam. IECFA7 0196-4313 10.1021/i160043a017 11, 379 (1972).
39. K. Kremer and G. S. Grest, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.458541 92, 5057 (1990);
40. K. Kremer and G. S. Grest, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.460746 94, 4103 (E) (1991);
41. G. S. Grest and K. Kremer, Macromolecules MAMOBX 0024-9297 10.1021/ma00172a035 20, 1376 (1987);
42. G. S. Grest and K. Kremer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.3628 33, 3628 (1986);
43. M. Murat and G. S. Grest, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.1074 63, 1074 (1989).
44. A. de Candia, E. Del Gado, A. Fierro, and A. Coniglio (unpublished).
45. P. J. Flory, The Physics of Polymer Chemistry (Cornell University Press, Ithaca, NY, 1954).
46. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1993).
47. S. Nosé, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.447334 81, 511 (1984);
48. W. G. Hoover, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.1695 31, 1695 (1985);
49. M. P. Allen and D. J. Tildsley, Computer Simulation of Liquids (Oxford University Press, Oxford, 2000).
50. J. E. Martin, J. Wilcoxon, and D. Adolf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.36.1803 36, 1803 (1987);
51. J. E. Martin and J. P. Wilcoxon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.373 61, 373 (1988);
52. J. E. Martin, J. P. Wilcoxon, and J. Odinek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.858 43, 858 (1991);
53. P. Lang and W. Burchard, Macromolecules MAMOBX 0024-9297 24, 815 (1991).
54. S. Z. Ren and C. M. Sorensen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1727 70, 1727 (1993);
55. F. Ikkai and M. Shibayama, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4946 82, 4946 (1999).
56. E. Del Gado, A. Fierro, L. de Arcangelis, and A. Coniglio, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.051103 69, 051103 (2004).
57. E. Del Gado, L. de Arcangelis, and A. Coniglio, Eur. Phys. J. E EPJSFH 1292-8941 10.1007/s101890050018 2, 359 (2000).
58. I. Saika-Voivod, E. Zaccarelli, F. Sciortino, S. V. Buldyrev, and P. Tartaglia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.041401 70, 041401 (2004).
59. A. Rahman, K. S. Singwi, and A. Sjolander, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.136.A405 136, A405 (1964).
60. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1992).
61. J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic, London, 1986).
62. D. A. Stariolo and G. Fabricius, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2221309 125, 064505 (2006);
63. P. I. Hurtado, L. Berthier, and W. Kob, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.135503 98, 135503 (2007);
64. P. Chaudhuri, L. Berthier, and W. Kob, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.060604 99, 060604 (2007).
65. D. Stauffer, A. Coniglio, and M. Adam, Adv. Polym. Sci. APSIDK 0065-3195 10.1007/3-540-11471-8_4 44, 103 (1982).
66. A. Fierro, A. de Candia, E. Del Gado, and A. Coniglio, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2008), L04002. 10.1088/1742-5468/2008/04/L04002
67. A. Fierro, A. de Candia, and A. Coniglio, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.7715 62, 7715 (2000).
68. P. M. Goldbart, H. E. Castillo, and A. Zippelius, Adv. Phys. ADPHAH 0001-8732 10.1080/00018739600101527 45, 393 (1996);
69. C. Wald, P. M. Goldbart, and A. Zippelius, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2200697 124, 214905 (2006).