Vortex dynamics in a three-state model under cyclic dominance

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

Volumn 60, Issue 4, 1999, Pages 3776-3780

  Szabó, György ^a,b   Santos, M A ^b   Mendes, J F F ^b  

^a RESEARCH INSTITUTE FOR TECHNICAL PHYSICS AND MATERIALS SCIENCE   (Hungary)

^b UNIVERSITY OF PORTO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000422224     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.3776     Document Type: Article

References (42)

1. A. J. Lotka, Proc. Natl. Acad. Sci. USA 6, 410 (1920).
2. V. Volterra, Lecon sur la Theorie Mathematique de la Lutte pour la Vie (Gauthier-Villars, Paris, 1931).
3. T. M. Ligget, Interacting Particle Systems (Springer-Verlag, New York, 1985).
4. Y. Itoh, Prog. Theor. Phys. 78, 507 (1987).
5. K. Tainaka and Y. Itoh, Europhys. Lett. 15, 399 (1991).
6. K. Tainaka, Phys. Lett. A 176, 303 (1993)
7. Phys. Lett. AK. Tainaka207, 53 (1995).
8. M. Bramson and D. Griffeath, Ann. Prob. 17, 26 (1989).
9. R. Fisch, Physica D 45, 19 (1990).
10. L. Frachebourg and P. L. Krapivsky, J. Phys. A 31, L287 (1998).
11. For a recent textbook, see P. Morris, Introduction to Game Theory (Springer-Verlag, New York, 1994).
12. H. A. Gutowitz, J. D. Victor, and B. W. Knight, Physica D 28, 18 (1987)
13. G. Szabó and G. Ódor, Phys. Rev. E 49, 2764 (1994)
14. H. Rieger, A. Schadschneider, and M. Schreckenberger, J. Phys. A 27, L423 (1994).
15. G. Szabó and C. Tőke, Phys. Rev. E 58, 69 (1998).
16. G. Szabó and A. Szolnoki, Phys. Rev. E 53, 2196 (1996)
17. Phys. Rev. EG. Szabó, A. Szolnoki, T. Antal, and I. Borsos, 55, 5275 (1997).
18. J. L. Cardy and U. C. Täuber, Phys. Rev. Lett. 77, 4780 (1996)
19. J. L. CardyU. C. TäuberJ. Stat. Phys. 90, 1 (1998).
20. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, England, 1999).
21. S. R. Broadbent and J. M. Hammerlslay, Proc. Cambridge Philos. Soc. 53, 629 (1957)
22. J. Blease, J. Phys. C 10, 917 (1977)
23. J. Phys. CJ. Blease10, 923 (1977)
24. J. Phys. CJ. Blease10, 3461 (1977).
25. V. N. Gribov, Zh. Éksp. Teor. Fiz. 53, 654 (1967) [JETP Lett. 26, 414 (1968)]
26. H. D. Aberbanel, J. B. Bronzan, R. L. Sugar, and A. R. White, Phys. Rep. 21, 119 (1975)
27. P. Grassberger and K. Sundermeyer, Phys. Lett. B 77B, 220 (1978)
28. M. Moshe, Phys. Rep. 37, 255 (1978)
29. J. L. Cardy and R. L. Sugar, J. Phys. A 13, L423 (1980).
30. R. M. Ziff, E. Gulari, and Y. Barshad, Phys. Rev. Lett. 56, 2553 (1986)
31. G. Grinstein, Z.-W. Lai, and D. A. Browne, Phys. Rev. A 40, 4820 (1989).
32. F. Schlögl, Z. Phys. 253, 147 (1972).
33. H. K. Janssen, Z. Phys. B 42, 151 (1981)
34. Z. Phys. BP. Grassberger, 47, 365 (1982).
35. H. Hinrichsen, Phys. Rev. E 55, 219 (1997).
36. H. Takayasu and A. Yu. Tretyakov, Phys. Rev. Lett. 68, 3060 (1992).
37. N. Menyhárd and G. Ódor, J. Phys. A 28, 4505 (1995)
38. J. Phys. AN. MenyhárdG. Ódor29, 7739 (1996).
39. M. J. Howard and U. C. Täuber, J. Phys. A 30, 7721 (1997).
40. B. P. Lee and J. Cardy, J. Stat. Phys. 80, 971 (1995).
41. G. Szabó and M. A. Santos, Phys. Rev. E 59, R2509 (1999).
42. D. Toussaint and F. Wilczek, J. Chem. Phys. 78, 2642 (1983).