Mode-coupling theory for the glass transition: Test of the convolution approximation for short-range interactions

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

Volumn 84, Issue 6, 2011, Pages

  Ayadim, A ^a   Germain, Ph ^a   Amokrane, S ^a  

^a UNIVERSITÉ PARIS EST CRÉTEIL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL FLUIDS; CORRELATION FUNCTION; HARD CORES; HARD SPHERES; HARD-SPHERE MODELS; INTERACTION POTENTIALS; MODE-COUPLING THEORY; NONERGODIC STATE; NONERGODICITY; SHORT RANGE INTERACTIONS;

CONVOLUTION; GLASS; SPHERES;

GLASS TRANSITION;

EID: 84555195707     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.061502     Document Type: Article

References (54)

1. J. Bergenholtz and M. Fuchs, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.59.5706 59, 5706 (1999);
2. J. Bergenholtz and M. Fuchs, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/50/310 11, 10171 (1999).
3. K. Dawson, Curr. Opin. Colloid Interface Sci. COCSFL 1359-0294 10.1016/S1359-0294(02)00052-3 7, 218 (2002). (Pubitemid 34951186)
4. F. Sciortino and P. Tartaglia, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730500414570 54, 471 (2005). (Pubitemid 43065282)
5. E. Zaccarelli, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/19/32/323101 19, 323101 (2007). (Pubitemid 47154886)
6. G. Szamel and H. Löwen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.8215 44, 8215 (1991).
7. W. Götze, in Liquids, Freezing and Glass Transition, edited by, J.-P. Hansen, D. Levesque, and, J. Zinn-Justin, (North-Holland, Amsterdam, 1991), p. 287.
8. U. Bengtzelius, W. Götze, and A. Sjolander, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/17/33/005 17, 5915 (1984).
9. W. van Megen and S. M. Underwood, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.49.4206 49, 4206 (1994).
10. K. Kroy, M. E. Cates, and W. C. K. Poon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.148302 92, 148302 (2004).
11. J. Wu and J. Cao, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 95.078301 95, 078301 (2005). (Pubitemid 41506021)
12. 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). (Pubitemid 44707961)
13. G. Szamel and E. Flenner, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.031507 81, 031507 (2010).
14. G. Szamel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 228301 90, 228301 (2003).
15. M. A. Chávez-Rojo and M. Medina-Noyola, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.031107 72, 031107 (2005); (Pubitemid 41778050)
16. M. A. Chávez-Rojo and M. Medina-Noyola, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.039902 76, 039902 (E) (2007); (Pubitemid 47443070)
17. R. Juárez-Maldonado and M. Medina-Noyola, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.267801 101, 267801 (2008);
18. M. A. Chávez-Rojo and M. Medina-Noyola, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.051503 77, 051503 (2008). (Pubitemid 351768341)
19. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, London, 2005).
20. J. L. Barrat, W. Götze, and A. Latz, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/1/39/027 1, 7163 (1989).
21. A. R. Denton and N. W. Ashcroft, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.426 39, 426 (1989).
22. F. Sciortino and W. Kob, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.648 86, 648 (2001); (Pubitemid 32160185)
23. W. Kob, M. Nauroth, and F. Sciortino, J. Non-Crystal. Sol. JNCSBJ 0022-3093 10.1016/S0022-3093(02)01457-6 307, 181 (2002). (Pubitemid 34867005)
24. G. Foffi, G. D. McCullagh, A. Lawlor, E. Zaccarelli, K. A. Dawson, F. Sciortino, P. Tartaglia, D. Pini, and G. Stell, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65.031407 65, 031407 (2002). (Pubitemid 40619101)
25. Ph. Germain and S. Amokrane, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.031401 76, 031401 (2007). (Pubitemid 47443096)
26. J. L. Barrat, J. P. Hansen, and G. Pastore, Mol. Phys. MOPHAM 0026-8976 10.1080/00268978800100541 63, 747 (1988).
27. S. Amokrane and J. G. Malherbe, Mol. Phys. MOPHAM 0026-8976 10.1080/0026897021000043990 101, 495 (2003).
28. K. Kawasaki, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(70)90375- 1 61, 1 (1970).
29. G. Nägele, J. Bergenholtz, and J. K. G. Dhont, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.478609 110, 7037 (1999).
30. W. Götze and M. R. Mayr, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.61.587 61, 587 (2000).
31. S.-H. Chong, Phys. Rev E JCPSA6 1539-3755 10.1103/PhysRevE.74.031205 74, 031205 (2006). (Pubitemid 44488480)
32. E. Zaccarelli, G. Foffi, K. A. Dawson, F. Sciortino, and P. Tartaglia, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.63.031501 63, 031501 (2001).
33. Y. Rosenfeld, J. Chem Phys. JCPSA6 0021-9606 10.1063/1.464569 98, 8126 (1993).
34. Y. Rosenfeld, D. Levesque, and J. J. Weis, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.458268 92, 6818 (1990).
35. E. Kierlik and M. L. Rosinberg, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.3382 42, 3382 (1990).
36. S. Phan, E. Kierlik, M. L. Rosinberg, B. Bildstein, and G. Kahl, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.48.618 48, 618 (1993).
37. R. Roth, R. Evans, A. Lang, and G. Kahl, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/46/313 14, 12063 (2002). (Pubitemid 35434009)
38. Y. Yu and J. Wu, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1520530 117, 10156 (2002).
39. T. Boublik, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1673824 53, 471 (1970);
40. G. A. Mansoori, N. F. Carnahan, K. E. Starling, and T. W. Leland Jr., J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1675048 54, 1523 (1971).
41. S. Jorge, E. Lomba, and J. Abascal, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1426418 116, 730 (2002). (Pubitemid 34064604)
42. F. Lado, S. M. Foiles, and N. W. Ashcroft, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.28.2374 28, 2374 (1983);
43. F. Lado, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(82)90207-9 89, 196 (1982).
44. A. Malijevski and S. Labik, Mol. Phys. MOPHAM 0026-8976 10.1080/00268978700100441 60, 663 (1987);
45. S. Labik and A. Malijevski, Mol. Phys. MOPHAM 0026-8976 10.1080/00268978900101181 67, 431 (1989).
46. A. M. Puertas, M. Fuchs, and M. E. Cates, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.098301 88, 098301 (2002);
47. A. M. Puertas, M. Fuchs, and M. E. Cates, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.031406 67, 031406 (2003).
48. J. Tobochnik and P. M. Chapin, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.454542 88, 5824 (1988).
49. B. O'Malley and I. Snook, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1992475 123, 054511 (2005). (Pubitemid 41203919)
50. Ph. Germain and S. Amokrane, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.011407 81, 011407 (2010).
51. K. Schweizer, Curr. Opin. Colloid Interface Sci. COCSFL 1359-0294 10.1016/j.cocis.2007.07.013 12, 297 (2007). (Pubitemid 47626065)
52. S. Amokrane, A. Ayadim, and J.-G. Malherbe, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/48/005 15, 3443 (2003).
53. L. Berthier and G. Tarjus, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.031502 82, 031502 (2010);
54. L. Berthier and G. Biroli, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.587 83, 587 (2011).