Unusual dynamical scaling in the spatial distribution of persistent sites in one-dimensional Potts models

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

Volumn 62, Issue 3 A, 2000, Pages 3366-3375

  Bray, A J ^a   O'Donoghue, S J ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; SPATIAL VARIABLES MEASUREMENT; STATISTICAL MECHANICS; THERMODYNAMICS;

PERSISTENCE PHENOMENON; POTTS MODELS; SCALING ARGUMENTS;

RANDOM PROCESSES;

EID: 0034269993     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.3366     Document Type: Article

References (27)

1. For a recent review see S. N. Majumdar, Curr. Sci. India 77, 370 (1999).
2. B. Derrida, A. J. Bray, and C. Godrèche, J. Phys. A 27, L357 (1994).
3. B. Derrida, V. Hakim, and V. Pasquier, Phys. Rev. Lett. 75, 751 (1995); J. Stat. Phys. 85, 763 (1996).
4. B. Derrida, V. Hakim, and V. Pasquier, Phys. Rev. Lett. 75, 751 (1995); J. Stat. Phys. 85, 763 (1996).
5. D. Stauffer, J. Phys. A 27, 5029 (1994).
6. S. N. Majumdar, C. Sire, A. J. Bray, and S. J. Cornell, Phys. Rev. Lett. 77, 2867 (1996); B. Derrida, V. Hakim, and R. Zeitak, ibid. 77, 2871 (1996).
7. S. N. Majumdar, C. Sire, A. J. Bray, and S. J. Cornell, Phys. Rev. Lett. 77, 2867 (1996); B. Derrida, V. Hakim, and R. Zeitak, ibid. 77, 2871 (1996).
8. J. Krug, H. Kallabis, S. N. Majumdar, S. J. Cornell, A. J. Bray, and C. Sire, Phys. Rev. E 56, 2702 (1997).
9. A. J. Bray, B. Derrida, and C. Godrèche, Europhys. Lett. 27, 175 (1994); P. L. Krapivsky, E. Ben-Naim, and S. Redner, Phys. Rev. E 50, 2474 (1994); S. N. Majumdar and C. Sire, Phys. Rev. Lett. 77, 1420 (1996).
10. A. J. Bray, B. Derrida, and C. Godrèche, Europhys. Lett. 27, 175 (1994); P. L. Krapivsky, E. Ben-Naim, and S. Redner, Phys. Rev. E 50, 2474 (1994); S. N. Majumdar and C. Sire, Phys. Rev. Lett. 77, 1420 (1996).
11. A. J. Bray, B. Derrida, and C. Godrèche, Europhys. Lett. 27, 175 (1994); P. L. Krapivsky, E. Ben-Naim, and S. Redner, Phys. Rev. E 50, 2474 (1994); S. N. Majumdar and C. Sire, Phys. Rev. Lett. 77, 1420 (1996).
12. J. Cardy, J. Phys. A 28, L19 (1995); E. Ben-Naim, Phys. Rev. E 53, 1566 (1996); M. Howard, J. Phys. A 29, 3437 (1996); S. J. Cornell and A. J. Bray, Phys. Rev. E 54, 1153 (1996).
13. J. Cardy, J. Phys. A 28, L19 (1995); E. Ben-Naim, Phys. Rev. E 53, 1566 (1996); M. Howard, J. Phys. A 29, 3437 (1996); S. J. Cornell and A. J. Bray, Phys. Rev. E 54, 1153 (1996).
14. J. Cardy, J. Phys. A 28, L19 (1995); E. Ben-Naim, Phys. Rev. E 53, 1566 (1996); M. Howard, J. Phys. A 29, 3437 (1996); S. J. Cornell and A. J. Bray, Phys. Rev. E 54, 1153 (1996).
15. J. Cardy, J. Phys. A 28, L19 (1995); E. Ben-Naim, Phys. Rev. E 53, 1566 (1996); M. Howard, J. Phys. A 29, 3437 (1996); S. J. Cornell and A. J. Bray, Phys. Rev. E 54, 1153 (1996).
16. M. Marcos-Martin, D. Beysens, J.-P. Bouchaud, C. Godrec̀he, and I. Yekutieli, Physica D 214, 396 (1995).
17. W. Y. Tam, R. Zeitak, K. Y. Szeto, and J. Stavans, Phys. Rev. Lett. 78, 1588 (1997).
18. B. Yurke, A. N. Pargellis, S. N. Majumdar, and C. Sire, Phys. Rev. E 56, R40 (1997).
19. S. N. Majumdar, A. J. Bray, S. J. Cornell, and C. Sire, Phys. Rev. Lett. 77, 3704 (1996); K. Oerding, S. J. Cornell, and A. J. Bray, Phys. Rev. E 56, R25 (1997).
20. S. N. Majumdar, A. J. Bray, S. J. Cornell, and C. Sire, Phys. Rev. Lett. 77, 3704 (1996); K. Oerding, S. J. Cornell, and A. J. Bray, Phys. Rev. E 56, R25 (1997).
21. G. Manoj and P. Ray, e-print cond-mat/9901130; e-print cond-mat/0003203.
22. D. H. Zanette, Phys. Rev. E 55, 2462 (1997).
23. G. Manoj and P. Ray, J. Phys. A 33, L109 (2000).
24. S. Jain and H. Flynn, e-print cond-mat/0004148.
25. E. Ben-Naim, L. Frachehourg, and P. L. Krapivsky, Phys. Rev. E 53, 3078 (1996).
26. S. J. Cornell and A. J. Bray (unpublished). See http:// theory.ph.man.ac.uk/~bray/pictures.html for some illustrations of the persistent structures which arise.
27. W. Y. Tam, A. D. Rutenberg, B. P. Vollmayr-Lee, and K. Y. Szeto, Europhys. Lett. 51, 223 (2000).