Obstruction model of the fractional Stokes-Einstein relation in glass-forming liquids

Journal of Non-Crystalline Solids

Volumn 235-237, Issue , 1998, Pages 137-141

  Douglas, J F ^a   Leporini, D ^b  

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

^b UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002899782     PISSN: 00223093     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-3093(98)00501-8     Document Type: Article

References (30)

1. L. Bocquet, J.P. Hansen, J. Piasecki, J. Stat. Phys. 76 (1994) 527.
2. D. Ehlich, H. Sillescu, Macromolecules 23 (1990) 1600.
3. I. Chang, F. Fujara, B. Geil, G. Heuberger, T. Mangel, H. Sillescu, J. Non-Cryst. Solids 174 (1994) 248.
4. M.T. Cicerone, M.D. Ediger, J. Chem. Phys. 104 (1996) 7210.
5. G. Heuberger, H. Sillescu, J. Phys. Chem. 100 (1996) 15255.
6. U. Geyer, W.L. Johnson, S. Schneider, Y. Qiu, T.A. Trombello, M.-P. Macht, Appl. Phys. Lett. 69 (1996) 2492.
7. G.L. Pollack Phys. Rev. A 23 (1981) 2660; G.L. Pollack J.J. Enyeart, Phys. Rev. A 31 (1985) 980.
8. G.L. Pollack Phys. Rev. A 23 (1981) 2660; G.L. Pollack J.J. Enyeart, Phys. Rev. A 31 (1985) 980.
9. H.J.V. Tyrell, K.R. Harris, Diffusion in Liquids, Butterworths, London, 1984.
10. D. Leporini, Riv. Nuovo Cim., in press.
11. J.F. Douglas, Comp. Mater. Sci. 4 (1995) 292.
12. J. Lebenshaft, R. Kapral, J. Stat. Phys. 20 (1979) 25; J.H. Wang, J. Am. Chem. Soc. 76 (1954) 4755; E. Geissler, A.M. Hecht, J. Phys. Lett. (France) 40 (1979) 173.
13. J. Lebenshaft, R. Kapral, J. Stat. Phys. 20 (1979) 25; J.H. Wang, J. Am. Chem. Soc. 76 (1954) 4755; E. Geissler, A.M. Hecht, J. Phys. Lett. (France) 40 (1979) 173.
14. J. Lebenshaft, R. Kapral, J. Stat. Phys. 20 (1979) 25; J.H. Wang, J. Am. Chem. Soc. 76 (1954) 4755; E. Geissler, A.M. Hecht, J. Phys. Lett. (France) 40 (1979) 173.
15. D.A.G. Bruggemann, Ann. Phys. 24 (1935) 636.
16. R.E. Del La Rue, C.W. Tobias, J. Electrochem. Soc. 106 (1959) 827.
17. I. Balburg, Phys. Rev. B 33 (1986) R-3618.
18. P.D. Jackson, D.T. Smith, P.N. Stanford, Geophys. 43 (1978) 1250.
19. J.F. Douglas, E.J. Garboczi, Adv. Chem. Phys. 91 (1995) 85; E.J. Garboczi, J.F. Douglas, Phys. Rev. E 53 (1996) 6169. If D is identified as the tracer diffusion coefficient outside the obstructions the virial coefficient in Eq. (3) becomes reduced by unity and this identification leads to ξ= 1/5 for spherical obstructions (see appendix A of Douglas and Garboczi).
20. J.F. Douglas, E.J. Garboczi, Adv. Chem. Phys. 91 (1995) 85; E.J. Garboczi, J.F. Douglas, Phys. Rev. E 53 (1996) 6169. If D is identified as the tracer diffusion coefficient outside the obstructions the virial coefficient in Eq. (3) becomes reduced by unity and this identification leads to ξ= 1/5 for spherical obstructions (see appendix A of Douglas and Garboczi).
21. A.L. Graham, R.D. Steele, R.B. Bird, Ind. Eng. Chem. Fundam. 23 (1994) 420.
22. J.F. Douglas, J.B. Hubbard, Macromolecules 24 (1991) 3163.
23. C. Dodd, H. Pak Mi, Proc. Phys. Soc. B 62 (1949) 454.
24. W. Kob, C. Donati, S.J. Plimpton, P.H. Poole, S.C. Glotzer, Phys. Rev. Lett. 79 (1997) 2827; C. Donati, J.F. Douglas, W. Kob, S.J. Plimpton, P.H. Poole Phys. Rev. Lett. 80 (1998) 2338.
25. W. Kob, C. Donati, S.J. Plimpton, P.H. Poole, S.C. Glotzer, Phys. Rev. Lett. 79 (1997) 2827; C. Donati, J.F. Douglas, W. Kob, S.J. Plimpton, P.H. Poole Phys. Rev. Lett. 80 (1998) 2338.
26. M. Nicodemi, A. Coniglio, Phys. Rev. E (in press).
27. L. Andreozzi, A. Di Schino, M. Giordano, D. Leporini, Europhys. Lett. 38 (1997) 669; L. Andreozzi, M. Giordano, D. Leporini (this issue).
28. L. Andreozzi, A. Di Schino, M. Giordano, D. Leporini, Europhys. Lett. 38 (1997) 669; L. Andreozzi, M. Giordano, D. Leporini (this issue).
29. H. Sumi, Chem. Phys. 212 (1996) 9.
30. Voronel et al., Phys. Rev. Lett. 80 (1998) 2630.