Analytical and numerical studies of the one-dimensional spin facilitated kinetic Ising model

Journal of Statistical Physics

Volumn 94, Issue 1-2, 1999, Pages 173-201

  Schulz, Michael ^a   Trimper, Steffen ^a  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

Author keywords

Glass transition; Lattice theory; Nonequilibrium kinetics

Indexed keywords

EID: 0032589535     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004544229529     Document Type: Article

References (31)

1. 1. W. Götze in Liquids, Freezing and the Glass Transition, Hansen et al., eds. (North Holland, Amsterdam, 1991).
2. 2. W. Götze and L. Sjögren, Rep. Prog. Phys. 55:241 (1992).
3. 3. J. Jäckle, Rep. Prog. Phys. 49:171 (1986).
4. 4. E. Leutheusser, Phys. Rev. A 29:2765 (1984).
5. 5. G. Adams and J. H. Gibbs, J. Chem. Phys. 43:139 (1965).
6. 6. M. L. Williams, R. F. Landel, and J. D. Ferry, J. Am. Chem. Soc. 77:3701 (1955).
7. 7. W. Götze and L. Sjögren, Zeitschrift für Physik B Cond. Matter 65:415 (1987).
8. 8. W. Götze and L. Sjögren, J. Phys. C 21:3407 (1988).
9. 9. T. Franosch, W. Götze, M. R. Mayr, and A. P. Singh, Phys. Rev. E 55:3183 (1997).
10. 10. T. Franosch, M. Fuchs, W. Götze, M. R. Mayr, and A. P. Singh, Phys. Rev. E 55:7153 (1997).
11. 11. G. H. Fredrickson and H. C. Andersen, J. Chem. Phys. 84:5822 (1985).
12. 12. G. H. Fredrickson and H. C. Andersen, Phys. Rev. Lett. 53:1244 (1984).
13. 13. G. H. Fredrickson, Ann. Rev. Phys. Chem. 39:149 (1988).
14. 14. G. H. Fredrickson and S. A. Brawer, J. Chem. Phys. 84:3351 (1986).
15. 15. M. Schulz and P. Reinecker, Phys. Rev. B 48:9369 (1993).
16. 16. M. Schulz and P. Reinecker, Phys. Rev. B 52:4131 (1995).
17. 17. M. Schulz, P. R. S. Sharma, and H. L. Frisch, Phys. Rev. B 52:7195 (1995).
18. 18. S. Butler and P. Harrowell, J. Chem. Phys. 95:4454 (1991).
19. 19. M. Schulz and S. Trimper, Int. J. Mod. Phys. B 11:2927 (1997).
20. 20. J. Doi, Phys. A: Math. Gen. 9:1465 (1976).
21. 21. S. Sandow and S. Trimper, Europhys. Lett. 21:799 (1993).
22. 22. P. Grassberger and M. Scheunert, Fortschr. Physik 28:547 (1980).
23. 23. L. Peliti, J. Physique 46:1469 (1985).
24. 24. G. Schütz and S. Sandow, Phys. Rev. E 49:2726 (1994).
25. 25. L. H. Gwa and H. Spohn, Phys. Rev. Lett. 68:725 (1992).
26. 26. F. C. Alcarez, M. Droz, M. Henkel, and V. Rittenberg, Ann. Phys. (N.Y.) 230:250 (1994).
27. 27. M. Schulz and S. Trimper, Phys. Lett. A 216:235 (1996).
28. 28. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1986).
29. 29. C. W. Gardiner, Handbook of Stochastic methods (Springer-Verlag, Berlin, 1983).
30. 30. R. Richert, Chem. Phys. Lett. 216:223 (1993).
31. 31. R. Böhmer, G. Hinze, G. Diezemann, B. Geil, and H. Sillescu, Europhys. Lett. 36:55 (1996).