Geometrical picture of dynamical facilitation

Journal of Physical Chemistry B

Volumn 108, Issue 21, 2004, Pages 6611-6615

  Whitelam, Stephen ^a   Garrahan, Juan P ^a,b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPETITION; COMPUTER SIMULATION; CONSTRAINT THEORY; CORRELATION METHODS; FREE ENERGY; HAMILTONIANS; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; PROBABILITY; THERMODYNAMICS;

ENERGY RELAXATION; GEOMETRICAL INTERPRETATION; KINETICALLY CONSTRAINED MODELS (KCM); TRANSITION PATH SAMPLING (TPS);

GLASS TRANSITION;

EID: 2942585238     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp037653x     Document Type: Review

References (39)

1. Angell, C. A. Science 1995, 267, 1924.
2. Ediger, M. D.; Angell, C. A.; Nagel, S. R. J. Phys. Chem. 1996, 100, 13200.
3. Debenedetti, P. G.; Stillinger, F. H. Nature 2001, 410, 259.
4. Garrahan, J. P.; Chandler, D. Phys. Rev. Lett. 2002, 89, 035704; Proc. Natl. Acad. Sci. U.S.A. 2003, 100, 9710.
5. Garrahan, J. P.; Chandler, D. Phys. Rev. Lett. 2002, 89, 035704; Proc. Natl. Acad. Sci. U.S.A. 2003, 100, 9710.
6. Berthier, L.; Garrahan, J. P. J. Chem. Phys. 2003, 119, 4367; Phys. Rev. 2003, 68, 041201.
7. Berthier, L.; Garrahan, J. P. J. Chem. Phys. 2003, 119, 4367; Phys. Rev. 2003, 68, 041201.
8. Whitelam, S.; Berthier, L.; Garrahan, J. P. e-print cond-mat/0310207, 2003.
9. Berthier, L. e-print cond-mat/0310210, 2003.
10. Jung, Y.; Garrahan, J. P.; Chandler, D. e-print cond-mat/0311396, 2003.
11. Sillescu, H. J. Non-Cryst. Solids 1999, 243, 81.
12. Ediger, M. D. Annu. Rev. Phys. Chem. 2000, 51, 99.
13. Glotzer, S. C. J. Non-Cryst. Solids 2000, 274, 342.
14. Schmidt-Rohr, K.; Speiss, H. Phys. Rev. Lett. 1991, 66, 3020. M. T. Cicerone Ediger, M. D. J. Chem. Phys. 1995, 103, 5684. Russell, E. V.; et al. Phys. Rev. Lett. 1998, 81, 1461. Deschenes, L. A.; Vanden Bout, D. A. Science 2001, 292, 255.
15. Schmidt-Rohr, K.; Speiss, H. Phys. Rev. Lett. 1991, 66, 3020. M. T. Cicerone Ediger, M. D. J. Chem. Phys. 1995, 103, 5684. Russell, E. V.; et al. Phys. Rev. Lett. 1998, 81, 1461. Deschenes, L. A.; Vanden Bout, D. A. Science 2001, 292, 255.
16. Schmidt-Rohr, K.; Speiss, H. Phys. Rev. Lett. 1991, 66, 3020. M. T. Cicerone Ediger, M. D. J. Chem. Phys. 1995, 103, 5684. Russell, E. V.; et al. Phys. Rev. Lett. 1998, 81, 1461. Deschenes, L. A.; Vanden Bout, D. A. Science 2001, 292, 255.
17. Schmidt-Rohr, K.; Speiss, H. Phys. Rev. Lett. 1991, 66, 3020. M. T. Cicerone Ediger, M. D. J. Chem. Phys. 1995, 103, 5684. Russell, E. V.; et al. Phys. Rev. Lett. 1998, 81, 1461. Deschenes, L. A.; Vanden Bout, D. A. Science 2001, 292, 255.
18. Muranaka, T.; Hitawari, Y. Phys. Rev. E 1995, 51, R2735. Perera, D.; Harrowell, P. Phys. Rev. E 1995, 57, 314. Doliwa, B.; Heuer, A. Phys. Rev. Lett. 1998, 80, 4915. Donati, C.; et al. Phys. Rev. E 1999, 60, 3107.
19. Muranaka, T.; Hitawari, Y. Phys. Rev. E 1995, 51, R2735. Perera, D.; Harrowell, P. Phys. Rev. E 1995, 57, 314. Doliwa, B.; Heuer, A. Phys. Rev. Lett. 1998, 80, 4915. Donati, C.; et al. Phys. Rev. E 1999, 60, 3107.
20. Muranaka, T.; Hitawari, Y. Phys. Rev. E 1995, 51, R2735. Perera, D.; Harrowell, P. Phys. Rev. E 1995, 57, 314. Doliwa, B.; Heuer, A. Phys. Rev. Lett. 1998, 80, 4915. Donati, C.; et al. Phys. Rev. E 1999, 60, 3107.
21. Muranaka, T.; Hitawari, Y. Phys. Rev. E 1995, 51, R2735. Perera, D.; Harrowell, P. Phys. Rev. E 1995, 57, 314. Doliwa, B.; Heuer, A. Phys. Rev. Lett. 1998, 80, 4915. Donati, C.; et al. Phys. Rev. E 1999, 60, 3107.
22. Weeks, E.; et al. Science 2000, 287, 627.
23. Glarum, S. H. J. Chem. Phys. 1960, 33, 639.
24. Palmer, R.; Stein, D. L.; Abrahams, E.; Anderson, P. W. Phys. Rev. Lett. 1984, 53, 958.
25. Fredrickson, G. H.; Andersen, H. C. Phys. Rev. Lett. 1984, 53, 1244.
26. Ritort, F.; Sollich, P. Adv. in Phys. 2003, 52, 219.
27. Jäckle, J.; Eisinger, S. Z Phys. 1991, B84, 115.
28. Kob, W.; Andersen, H. C. Phys. Rev. E 1993, 48, 4364.
29. For other perspectives on glassiness also based on curved spaces, but with a different microscopic origin, see for example: Steinhardt, P. J.; Nelson, D. R.; Ronchetti, M. Phys. Rev. Lett. 1981, 47, 1297. Nelson, D. R. Phys. Rev. B 1983, 28, 5515.
30. For other perspectives on glassiness also based on curved spaces, but with a different microscopic origin, see for example: Steinhardt, P. J.; Nelson, D. R.; Ronchetti, M. Phys. Rev. Lett. 1981, 47, 1297. Nelson, D. R. Phys. Rev. B 1983, 28, 5515.
31. Risken, H. The Fokker - Planck equation: Methods of solution and Application; Springer-Verlag: New York, 1984.
32. Zinn-Justin, J. Quantum Field Theory and Critical Phenomena; Oxford University Press: Oxford, U.K., 1989.
33. Misner, C. W.; Thorne, K. S.; Wheeler, J. A. Gravitation; W. H. Freeman and Company: San Francisco, CA, 1973.
34. Van Kempen, N. G. Stochastic Processes in Physics and Chemistry; North-Holland: Amsterdam, 2001.
35. Bolhuis, P. G.; Chandler, D.; Dellago, C.; Geissler, P. L. Annu. Rev. Phys. Chem. 2002, 59, 291.
36. Crooks, G. E.; Chandler, D. Phys. Rev. E 2001, 64, 026109.
37. Pratt, L. R. J. Chem. Phys. 1986, 55, 5045.
38. 2/2T), which is indeed independent of the constraining function script C sign(x). If the Stratonovich convention is used, the second term in the right-hand side of eq 16 is then preceded by a factor 1/2, giving the same Fokker-Planck equation as above.
39. y dy.