Distribution of domain sizes in the zero temperature Glauber dynamics of the one-dimensional Potts model

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 54, Issue 3, 1996, Pages 2513-2525

  Derrida, Bernard ^a,b   Zeitak, Reuven ^a,b  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000554797     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.2513     Document Type: Article

References (32)

1. A J. Bray, Adv. Phys.43, 357 (1994).
2. R J. Glauber, J. Mat. Phys.4, 294 (1963).
3. A J. Bray, J. Phys. A23, L67 (1990).
4. J G. Amar and F. Family, Phys. Rev. A41, 3258 (1990).
5. D. ben-Avraham, M A. Burschka and C R. Doering, J. Stat. Phys.60, 695 (1990).
6. B. Derrida, C. Godrèche and I. Yekutieli, Phys. Rev. A44, 6241 (1991).
7. B. Derrida, V. Hakim and V. Pasquier, Phys. Rev. Lett.75, 751 (1995).
8. B. Derrida, V. Hakim, and V. Pasquier, J. Stat. Phys. (to be published).
9. Z. Rácz, Phys. Rev. Lett.55, 1707 (1985).
10. V. Privman, J. Stat. Phys.69, 629 (1992).
11. T M. Liggett, Interacting Particle Systems (Springer-Verlag, New York, 1985).
12. B. Derrida, J. Phys. A28, 1481 (1995).
13. P. G. De Gennes, J. Chem. Phys.48, 2257 (1968).
14. J. Villain and P. Bak, J. Phys. (Paris)42, 657 (1981).
15. M E. Fisher, J. Stat. Phys.34, 667 (1984).
16. P A. Alemany and D. ben-Avraham, Phys. Lett. A206, 18 (1995).
17. P V. Elyutin, J. Phys. C17, 1867 (1984).
18. G. Szegö, Commun. Sém. Math. Univ. Lund 1952, 228.
19. M. Kac, Duke Math. J.21, 501 (1954).
20. B M. McCoy and T T. Wu, The Two-Dimensional Ising Model (Harvard University Press, Cambridge, MA, 1973), and references therein.
21. F C. Fortuin and P W. Kasteleyn, Physica A57, 536 (1972).
22. C R. Doering, Physica A188, 386 (1992).
23. M A. Burschka, Europhys. Lett.16, 537 (1991).
24. K. Krebs, M. P. Pfanmnmüller, B. Wehefritz and H. Hinrichsen, J. Stat. Phys.78, 1429 (1995).
25. D. ben-Avraham, Mod. Phys. Lett. B9, 895 (1995).
26. M A. Burschka and C R. Doering (unpublished).
27. B. Derrida, A J. Bray and C. Godrèche, J. Phys. A27, L357 (1994).
28. P L. Krapivsky, E. Ben-Naim and S. Redner, Phys. Rev. E50, 2474 (1994).
29. D. Stauffer, J. Phys. A27, 5029 (1994).
30. E. Ben-Naim, L. Frachebourg and P L. Krapivsky, Phys. Rev. E53, 3078 (1996).
31. B. Derrida, P. M. C. de Oliveira and D. Stauffer, Physica A224, 604 (1996).
32. A D. Rutenberg (unpublished).