Non-Markovian persistence and nonequilibrium critical dynamics

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

Volumn 56, Issue 1 SUPPL. A, 1997, Pages

  Oerding, Klaus ^a,b   Cornell, Stephen J ^c   Bray, Alan J ^c  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b HEINRICH HEINE UNIVERSITY   (Germany)

^c UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002728059     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.56.r25     Document Type: Article

References (21)

1. B. Derrida, A. J. Bray, and C. Godrèche, J. Phys. A 27, L357 (1994).
2. A. J. Bray, B. Derrida, and C. Godrèche, Europhys. Lett. 27, 175 (1994).
3. D. Stauffer, J. Phys. A 27, 5029 (1994).
4. E. Ben-Nairn, P. L. Krapivsky, and S. Redner, Phys. Rev. E 50, 2474 (1994).
5. B. Derrida, P. M. C. de Oliveira, and D. Stauffer, Physica A 224, 604 (1996).
6. B. Derrida, V. Hakim, and V. Pasquier, Phys. Rev. Lett. 75, 751 (1995).
7. E. Ben-Nairn, L. Frachebourg, and P. L. Krapivsky, Phys. Rev, E 53, 3078 (1996).
8. S. N. Majumdar and C. Sire, Phys. Rev. Lett. 77, 1420 (1996).
9. S. N. Majumdar, C. Sire, A. J. Bray, and S. Cornell, Phys. Rev. Lett. 77, 2867 (1996).
10. B. Derrida, V. Hakim, and R. Zeitak, Phys. Rev. Lett. 77, 2871 (1996).
11. S. N. Majumdar, A. J. Bray, S. J. Cornell, and C. Sire, Phys. Rev. Lett. 77, 3704 (1996).
12. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49, 435 (1977).
13. The result (14) can be deduced after some algebra from Eqs. (4), (5), and (7) of Ref. [8].
14. J. Krug, H. Kallabis, S. N. Majumdar, S. Cornell, A. J. Bray, and C. Sire (unpublished).
15. C(ω) implicitly contains a term proportional to δ(ω).
16. H. K. Janssen, B. Schaub, and B. Schmittman, Z. Phys. 73, 539 (1989).
17. H. K. Janssen, in From Phase Transitions to Chaos, Topics in Modern Statistical Physics, edited by G. Györgyi, I. Kondor, L. Sasvári, and T. Tél (World Scientific, Singapore, 1992), pp. 68-91.
18. K. Oerding and H. K. Janssen, J. Phys. A 26, 3369 (1993).
19. D. Stauffer, Int. J. Mod. Phys. C 7, 753 (1996).
20. L. Schulke and B. Zheng (unpublished) have recently measured θ directly for the Ising model in d=2. Their result θ= 0.237±0.003 is consistent with θz = 0.505±0.020 [11] for z in the accepted range 2.13-2.17.
21. P. Grassberger, Physica A 214, 547 (1995).