Correlation effects and super-Arrhenius diffusion in binary Lennard-Jones mixtures

Physical Review B - Condensed Matter and Materials Physics

Volumn 74, Issue 13, 2006, Pages

  De Souza, Vanessa K ^a   Wales, David J ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749498432     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.74.134202     Document Type: Article

References (67)

1. H. Vogel, Z. Phys. ZEPYAA 0044-3328 22, 645 (1921).
2. G. S. Fulcher, J. Am. Ceram. Soc. JACTAW 0002-7820 10.1111/j.1151-2916. 1925.tb16731.x 8, 339 (1925).
3. G. Tammann and W. Z. Hesse, Z. Anorg. Allg. Chem. ZAACAB 0044-2313 10.1002/zaac.19261560121 156, 245 (1926).
4. W. Götze, in Liquids, Freezing and the Glass Transition, Proceedings of Les Houches, Session LI, 1989, edited by, J.-P. Hansen,,, D. Levesque,, and, J. Zinn-Justin, (North-Holland, Amsterdam, 1991).
5. C. A. Angell, J. Non-Cryst. Solids JNCSBJ 0022-3093 131-133, 13 (1991).
6. G. P. Johari, Philos. Mag. B PMABDJ 1364-2812 46, 549 (1982).
7. G. P. Johari, G. E. Johnson, and J. W. Goodby, Nature (London) NATUAS 0028-0836 10.1038/297315a0 297, 315 (1982).
8. K. L. Ngai, R. W. Rendell, and D. J. Plazek, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.459825 94, 3018 (1991).
9. R. Böhmer and C. A. Angell, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.10091 45, 10091 (1992).
10. R. Böhmer, K. L. Ngai, C. A. Angell, and D. J. Plazek, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.466117 99, 4201 (1993).
11. R. Kohlrausch, Ann. Phys. ANPYA2 0003-3804 12, 393 (1847).
12. G. P. Johari and M. Goldstein, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1674335 53, 2372 (1970).
13. G. P. Johari and M. Goldstein, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1676742 55, 4245 (1971).
14. K. Vollmayr-Lee, W. Kob, K. Binder, and A. Zippelius, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1453962 116, 5158 (2002).
15. W. K. Kegel and A. van Blaaderen, Science SCIEAS 0036-8075 10.1126/science.287.5451.290 287, 290 (2000).
16. E. R. Weeks, J. C. Crocker, A. C. Lewitt, A. Schofield, and D. A. Weitz, Science SCIEAS 0036-8075 10.1126/science.287.5453.627 287, 627 (2000).
17. M. Y. Cicerone, F. R. Blackburn, and M. D. Ediger, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.469425 102, 471 (1995).
18. M. D. Ediger, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.51.1.99 51, 99 (2000).
19. H. R. Schober, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10.1039/b403557g 6, 3654 (2004).
20. C. Oligschleger and H. R. Schober, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.811 59, 811 (1999).
21. A. I. Mel'cuk, R. A. Ramos, H. Gould, W. Klein, and R. D. Mountain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2522 75, 2522 (1995).
22. 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).
23. D. J. Wales and J. Uppenbrink, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.12342 50, 12342 (1994).
24. W. Jost, Diffusion in Solids, Liquids and Gases, 3rd ed. (Academic Press, New York, 1960).
25. A. Rahman, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.136.A405 136, A405 (1964).
26. W. Kob and H. C. Andersen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.4626 51, 4626 (1995).
27. D. Caprion, J. Matsui, and H. R. Schober, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4293 85, 4293 (2000).
28. S.-K. Ma, Statistical Mechanics (World Scientific, Singapore, 1985).
29. D. Thirumalai, R. D. Mountain, and T. R. Kirkpatrick, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.3563 39, 3563 (1989).
30. R. D. Mountain and D. Thirumalai, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100356a019 93, 6975 (1989).
31. D. Thirumalai and R. D. Mountain, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.4574 42, 4574 (1990).
32. V. K. de Souza and D. J. Wales, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2035080 123, 134504 (2005).
33. V. K. de Souza and D. J. Wales, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.057802 96, 057802 (2006).
34. S. Sastry, P. G. Debenedetti, and F. H. Stillinger, Nature (London) NATUAS 0028-0836 10.1038/31146 393, 554 (1998).
35. F. Sciortino, W. Kob, and P. Tartaglia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3214 83, 3214 (1999).
36. S. Sastry, Nature (London) NATUAS 0028-0836 10.1038/35051524 409, 164 (2001).
37. W. Kob and H. C. Andersen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.4134 52, 4134 (1995).
38. S. Büchner and A. Heuer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.6507 60, 6507 (1999).
39. B. Doliwa and A. Heuer, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/11/309 15, S849 (2003).
40. F. H. Stillinger and T. A. Weber, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100244a057 87, 4277 (1983).
41. R. D. Mountain and D. Thirumalai, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.R3380 45, R3380 (1992).
42. D. Thirumalai and R. D. Mountain, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.479 47, 479 (1993).
43. C. A. Angell, B. E. Richards, and V. Velikov, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/10A/005 11, A75 (1999).
44. C. Donati, F. Sciortino, and P. Tartaglia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1464 85, 1464 (2000).
45. T. F. Middleton, J. Hernández-Rojas, P. N. Mortenson, and D. J. Wales, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.184201 64, 184201 (2001).
46. W. Kob and H. C. Andersen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.1376 73, 1376 (1994).
47. S. D. Stoddard and J. Ford, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.1504 8, 1504 (1973).
48. M. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1987).
49. E. R. Weeks and D. A. Weitz, Chem. Phys. CMPHC2 0301-0104 10.1016/S0301-0104(02)00667-5 284, 361 (2002).
50. K. Vollmayr-Lee, J. Chem. Phys. JCPSA6 0021-9606 121, 2004 (2004).
51. C. Gaukel and H. R. Schober, Solid State Commun. SSCOA4 0038-1098 10.1016/S0038-1098(98)00176-8 107, 1 (1998).
52. M. Kluge and H. R. Schober, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.224209 70, 224209 (2004).
53. B. Doliwa and A. Heuer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4915 80, 4915 (1998).
54. B. Doliwa and A. Heuer, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/10A/025 11, A277 (1999).
55. E. R. Weeks and D. A. Weitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.095704 89, 095704 (2002).
56. M. Dzugutov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.032501 65, 032501 (2002).
57. D. J. Wales, J. P. K. Doye, M. A. Miller, P. N. Mortenson, and T. R. Walsh, Adv. Chem. Phys. ADCPAA 0065-2385 115, 1 (2000).
58. T. F. Middleton and D. J. Wales, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1690241 120, 8134 (2004).
59. T. Keyes and J. Chowdhary, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.032201 64, 032201 (2001).
60. B. Doliwa and A. Heuer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.031506 67, 031506 (2003).
61. A. Saksaengwijit, B. Doliwa, and A. Heuer, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/11/341 15, S1237 (2003).
62. W. Kob (private communication), the diffusion constants in Fig. 3 of Ref. should be divided by 6.
63. Statistical Methods in Research and Production, 4th ed. edited by, O. L. Davies, and, P. L. Goldsmith, (Longman Group Limited, London, 1978).
64. C. A. Angell, K. L. Ngai, G. B. McKenna, P. F. McMillan, and S. W. Martin, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1286035 88, 3113 (2000).
65. E. A. D. Marzio and A. J. M. Yang, J. Res. Natl. Inst. Stand. Technol. JRITEF 1044-677X 102, 135 (1997).
66. J. D. Ferry, L. D. Grandine, and E. R. Fitzgerald, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1721401 24, 911 (1953).
67. H. Bässler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 58.767 58, 767 (1987).