Splitting the voter potts model critical point

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 5 2, 2003, Pages

  Droz, Michel ^a   Ferreira, Antonio L ^b   Lipowski, Adam ^a,c  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b UNIVERSITY OF AVEIRO   (Portugal)

^c ADAM MICKIEWICZ UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; COMPUTER SIMULATION; GRAPH THEORY; HAMILTONIANS; MAGNETIZATION; MARKOV PROCESSES; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY; TEMPERATURE;

ISING MODEL; NONEQUILIBRIUM PHASE TRANSITION; NONEQUILIBRIUM POTTS MODEL; TWO-DIMENSIONAL NEAREST-NEIGHBOR MODEL;

PHASE TRANSITIONS;

EID: 42749103025     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. H. Hinrichsen, Adv. Phys. 49, 815 (2000)
2. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999).
3. P. Grassberger, Z. Phys. B: Condens. Matter 47, 365 (1982)
4. H.K. Janssen, ibid. 42, 151 (1981).
5. M.H. Kim and H. Park, Phys. Rev. Lett. 73, 2579 (1994)
6. N. Menyhárd and G. Ódor, J. Phys. A 27, 7739 (1996)
7. A. Lipowski, ibid. 29 L355 (1996).
8. H. Hinrichsen, Phys. Rev. E 55, 219 (1997).
9. P. Grassberger, F. Krause, and T. von der Twer, J. Phys. A 17, L105 (1984)
10. I. Jensen, Phys. Rev. E 50, 3623 (1994)
11. H. Takayasu and A. Yu. Tretyakov, Phys. Rev. Lett. 68, 3060 (1992).
12. H. Park and H. Park, Physica A 221, 97 (1995).
13. A. Lipowski and M. Droz, Phys. Rev. E 66, 016106 (2002).
14. For some recent developments see e.g., G. Ódor
15. A. Lipowski and M. Droz, Phys. Rev. E 65, 056114 (2002).
16. I. Dornic, H. Chaté, J. Chave, and H. Hinrichsen, Phys. Rev. Lett. 87, 045701 (2001).
17. T.M. Liggett, Interacting Particle Systems (Springer, New York, 1985).
18. M. Scheucher and Spohn, J. Stat. Phys. 53 279 (1988)
19. M.J. de Oliveira, J.F.F. Mendes, and M.A. Santos, J. Phys. A 26, 2317 (1993)
20. G. Szabo and A. Szolnoki, Phys. Rev. E 65, 036115 (2002).
21. L. Frachebourg and P.L. Krapivsky, Phys. Rev. E 53, R3009 (1996).
22. B. Berge, H.T. Diep, A. Ghazali, and P. Lallemand, Phys. Rev. B 34, 3177 (1986)
23. H. Eikmans, J.E. van Himbergern, H.J.F. Knops, and J.M. Thijssen, ibid. 39, 11 759 (1989).
24. S. Fishman and A. Aharony, Phys. Rev. B 18, 3507 (1978).
25. K.E. Bassler and Z. Rácz, Phys. Rev. Lett. 73, 1320 (1994).
26. F.Y. Wu, 54, 235 (1982).
27. P. Grassberger and A. de la Torre, Ann. Phys. Paris 122, 373 (1979).
28. A.L. Ferreira and A. Lipowski (unpublished).
29. K. Binder, Z. Phys. B: Condens. Matter 43, 119 (1981).
30. G. Kamieniarz and H.W.J. Blöte, J. Phys. A 26, 201 (1993).
31. G. Grinstein, C. Jayaprakash, and Y. He, Phys. Rev. Lett. 55 2527 (1985)
32. U.C. Täuber, V.K. Akkineni, and J.E. Santos, ibid. 88, 045702 (2002).