Time-dependent, four-point density correlation function description of dynamical heterogeneity and decoupling in supercooled liquids

Journal of Chemical Physics

Volumn 112, Issue 2, 2000, Pages 509-512

  Glotzer, Sharon C ^a   Novikov, Vladimir N ^a,b   Schroøder, Thomas B ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b INSTITUTE OF AUTOMATION AND ELECTROMETRY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000658518     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.480541     Document Type: Article

References (49)

1. H. Sillescu, J. Non-Cryst. Solids 243, 81 (1999), and references therein.
2. R. Böhmer, Curr. Opin. Solid State Mater. Sci. 3, 378 (1998), and references therein.
3. See, e.g., K. Schmidt-Rohr and H. W. Spiess, Phys. Rev. Lett. 66, 3020 (1991); A. Heuer, et al., ibid. 95, 2851 (1995); R. Richert, J. Non-Cryst. Solids 172-174. 209 (1994); R. Böhmer, et al., ibid. 235-237, 1 (1998); F. R. Blackburn, et al., ibid. 172-174, 256 (1994).
4. See, e.g., K. Schmidt-Rohr and H. W. Spiess, Phys. Rev. Lett. 66, 3020 (1991); A. Heuer, et al., ibid. 95, 2851 (1995); R. Richert, J. Non-Cryst. Solids 172-174. 209 (1994); R. Böhmer, et al., ibid. 235-237, 1 (1998); F. R. Blackburn, et al., ibid. 172-174, 256 (1994).
5. See, e.g., K. Schmidt-Rohr and H. W. Spiess, Phys. Rev. Lett. 66, 3020 (1991); A. Heuer, et al., ibid. 95, 2851 (1995); R. Richert, J. Non-Cryst. Solids 172-174. 209 (1994); R. Böhmer, et al., ibid. 235-237, 1 (1998); F. R. Blackburn, et al., ibid. 172-174, 256 (1994).
6. See, e.g., K. Schmidt-Rohr and H. W. Spiess, Phys. Rev. Lett. 66, 3020 (1991); A. Heuer, et al., ibid. 95, 2851 (1995); R. Richert, J. Non-Cryst. Solids 172-174. 209 (1994); R. Böhmer, et al., ibid. 235-237, 1 (1998); F. R. Blackburn, et al., ibid. 172-174, 256 (1994).
7. See, e.g., K. Schmidt-Rohr and H. W. Spiess, Phys. Rev. Lett. 66, 3020 (1991); A. Heuer, et al., ibid. 95, 2851 (1995); R. Richert, J. Non-Cryst. Solids 172-174. 209 (1994); R. Böhmer, et al., ibid. 235-237, 1 (1998); F. R. Blackburn, et al., ibid. 172-174, 256 (1994).
8. F. Fujara, B. Geil, H. Sullescu, and G. Fleischer, Z. Phys, B 88, 195 (1992); I. Chang, et al., J. Non-Cryst. Solids 172-174, 248 (1994); H. Sillescu, Phys. Rev. E 53, 2992 (1996); I. Chang and H. Sillescu, J. Phys. Chem. B 101, 8794 (1997).
9. F. Fujara, B. Geil, H. Sullescu, and G. Fleischer, Z. Phys, B 88, 195 (1992); I. Chang, et al., J. Non-Cryst. Solids 172-174, 248 (1994); H. Sillescu, Phys. Rev. E 53, 2992 (1996); I. Chang and H. Sillescu, J. Phys. Chem. B 101, 8794 (1997).
10. F. Fujara, B. Geil, H. Sullescu, and G. Fleischer, Z. Phys, B 88, 195 (1992); I. Chang, et al., J. Non-Cryst. Solids 172-174, 248 (1994); H. Sillescu, Phys. Rev. E 53, 2992 (1996); I. Chang and H. Sillescu, J. Phys. Chem. B 101, 8794 (1997).
11. F. Fujara, B. Geil, H. Sullescu, and G. Fleischer, Z. Phys, B 88, 195 (1992); I. Chang, et al., J. Non-Cryst. Solids 172-174, 248 (1994); H. Sillescu, Phys. Rev. E 53, 2992 (1996); I. Chang and H. Sillescu, J. Phys. Chem. B 101, 8794 (1997).
12. M. T. Cicerone, F. R. Blackburn, and M. D. Ediger, Macromolecules 28, 8224 (1995); M. T. Cicerone and M. D. Ediger, J. Chem. Phys. 104, 7210 (1996).
13. M. T. Cicerone, F. R. Blackburn, and M. D. Ediger, Macromolecules 28, 8224 (1995); M. T. Cicerone and M. D. Ediger, J. Chem. Phys. 104, 7210 (1996).
14. L. Andreozzi, A. Di Schino, M. Giordano, and D. Leporini, Europhys. Lett. 38, 669 (1997).
15. W. Götze, L. Sjögren, Rep. Prog. Phys. 55, 241 (1992).
16. See, e.g., T. Muranaka and Y. Hiwatari, Phys. Rev. E 51, R2735 (1995); R. D. Mountain, J. Chem. Phys. 102, 5408 (1995); M. Hurley and P. Harrowell, Phys. Rev. E 52, 1694 (1995); D. Perera and P. Harrowell, J. Non-Cryst. Solids 235-237, 314 (1998); B. Doliwa and A. Heuer, Phys. Rev. Lett. 80, 4915 (1998); A. Onuki and Y. Yamamoto, J. Non-Cryst. Solids 235-237, 34 (1998).
17. See, e.g., T. Muranaka and Y. Hiwatari, Phys. Rev. E 51, R2735 (1995); R. D. Mountain, J. Chem. Phys. 102, 5408 (1995); M. Hurley and P. Harrowell, Phys. Rev. E 52, 1694 (1995); D. Perera and P. Harrowell, J. Non-Cryst. Solids 235-237, 314 (1998); B. Doliwa and A. Heuer, Phys. Rev. Lett. 80, 4915 (1998); A. Onuki and Y. Yamamoto, J. Non-Cryst. Solids 235-237, 34 (1998).
18. See, e.g., T. Muranaka and Y. Hiwatari, Phys. Rev. E 51, R2735 (1995); R. D. Mountain, J. Chem. Phys. 102, 5408 (1995); M. Hurley and P. Harrowell, Phys. Rev. E 52, 1694 (1995); D. Perera and P. Harrowell, J. Non-Cryst. Solids 235-237, 314 (1998); B. Doliwa and A. Heuer, Phys. Rev. Lett. 80, 4915 (1998); A. Onuki and Y. Yamamoto, J. Non-Cryst. Solids 235-237, 34 (1998).
19. See, e.g., T. Muranaka and Y. Hiwatari, Phys. Rev. E 51, R2735 (1995); R. D. Mountain, J. Chem. Phys. 102, 5408 (1995); M. Hurley and P. Harrowell, Phys. Rev. E 52, 1694 (1995); D. Perera and P. Harrowell, J. Non-Cryst. Solids 235-237, 314 (1998); B. Doliwa and A. Heuer, Phys. Rev. Lett. 80, 4915 (1998); A. Onuki and Y. Yamamoto, J. Non-Cryst. Solids 235-237, 34 (1998).
20. See, e.g., T. Muranaka and Y. Hiwatari, Phys. Rev. E 51, R2735 (1995); R. D. Mountain, J. Chem. Phys. 102, 5408 (1995); M. Hurley and P. Harrowell, Phys. Rev. E 52, 1694 (1995); D. Perera and P. Harrowell, J. Non-Cryst. Solids 235-237, 314 (1998); B. Doliwa and A. Heuer, Phys. Rev. Lett. 80, 4915 (1998); A. Onuki and Y. Yamamoto, J. Non-Cryst. Solids 235-237, 34 (1998).
21. See, e.g., T. Muranaka and Y. Hiwatari, Phys. Rev. E 51, R2735 (1995); R. D. Mountain, J. Chem. Phys. 102, 5408 (1995); M. Hurley and P. Harrowell, Phys. Rev. E 52, 1694 (1995); D. Perera and P. Harrowell, J. Non-Cryst. Solids 235-237, 314 (1998); B. Doliwa and A. Heuer, Phys. Rev. Lett. 80, 4915 (1998); A. Onuki and Y. Yamamoto, J. Non-Cryst. Solids 235-237, 34 (1998).
22. C. Donati, S. C. Glotzer, and P. H. Poole, Phys. Rev. Lett. 82, 5064 (1999); C. Bennemann, C. Donati, J. Baschnagel, and S. C. Glotzer, Nature (London) 399, 246 (1999).
23. C. Donati, S. C. Glotzer, and P. H. Poole, Phys. Rev. Lett. 82, 5064 (1999); C. Bennemann, C. Donati, J. Baschnagel, and S. C. Glotzer, Nature (London) 399, 246 (1999).
24. S. C. Glotzer and C. Donati, J. Phys.: Condens. Matter 11, A285 (1999); W. Kob, C. Donati, P. H. Poole, S. J. Plimpton, and S. C. Glotzer, Phys. Rev. Lett. 79, 2827 (1997).
25. S. C. Glotzer and C. Donati, J. Phys.: Condens. Matter 11, A285 (1999); W. Kob, C. Donati, P. H. Poole, S. J. Plimpton, and S. C. Glotzer, Phys. Rev. Lett. 79, 2827 (1997).
26. C. Donati, S. Glotzer, P. Poole, W. Kob, and S. Plimpton, Phys. Rev. E 60, 3107 (1999).
27. R. Yamamoto and A. Onuki, Phys. Rev. Lett. 81, 4915 (1998); Phys. Rev. E 58, 3515 (1998).
28. R. Yamamoto and A. Onuki, Phys. Rev. Lett. 81, 4915 (1998); Phys. Rev. E 58, 3515 (1998).
29. W. Kob and H. C. Andersen, Phys. Rev. E 51, 4626 (1995).
30. C. Bennemann, W. Paul, K. Binder, and B. Dünweg, Phys. Rev. E 57, 843 (1998).
31. S. Kammerer, W. Kob, and R. Schilling, Phys. Rev. E 56, 5450 (1997).
32. F. H. Stillinger and J. A. Hodgdon, Phys. Rev. E 50, 2064 (1994); 53, 2995 (1996).
33. F. H. Stillinger and J. A. Hodgdon, Phys. Rev. E 50, 2064 (1994); 53, 2995 (1996).
34. J. F. Douglas and D. Leporini, J. Non-Cryst. Solids 235-237, 137 (1998).
35. C. Dasgupta, A. V. Indrani, S. Ramaswamy, and M. K. Phani, Europhys. Lett. 15, 307 (1991).
36. C. Donati, S. Franz, S. C. Glotzer, and G. Parisi, cond-mat/9905433.
37. G. Parisi, J. Phys. A 30, L765 (1997).
38. M. Cardenas, S. Franz, and G. Parisi, J. Phys. A 31, L163 (1998); J. Chem. Phys. 110, 1726 (1999).
39. M. Cardenas, S. Franz, and G. Parisi, J. Phys. A 31, L163 (1998); J. Chem. Phys. 110, 1726 (1999).
40. ss thus measures correlations in a subset of particles, where the subset is chosen according to whether or not the particles are localized in a time interval [0,t].
41. D. Lancaster and G. Parisi, J. Phys. A 30, 5911 (1997).
42. -13 s.
43. T. B. Schrøder, S. Sastry, J. C. Dyre, and S. C. Glotzer, cond-mat/9901271.
44. T. B. Schrøder and J. C. Dyre, J. Non-Cryst. Solids 235-237, 331 (1998).
45. R. D. Mountain, ACS Symp. Ser. 676, 122 (1997); R. Ahluwalia and S. P. Das, Phys. Rev. E 57, 5771 (1998); G. Johnson, et al., ibid. 57, 5707 (1998).
46. R. D. Mountain, ACS Symp. Ser. 676, 122 (1997); R. Ahluwalia and S. P. Das, Phys. Rev. E 57, 5771 (1998); G. Johnson, et al., ibid. 57, 5707 (1998).
47. R. D. Mountain, ACS Symp. Ser. 676, 122 (1997); R. Ahluwalia and S. P. Das, Phys. Rev. E 57, 5771 (1998); G. Johnson, et al., ibid. 57, 5707 (1998).
48. P. Allegrini, J. F. Douglas, and S. C. Glotzer, Phys. Rev. E 60, 5714 (1999).
49. u.