Fermi partition functions of friendly walkers and pair connectedness of directed percolation

Journal of the Physical Society of Japan

Volumn 70, Issue 1, 2001, Pages 1-4

  Inui, Norio ^b   Katori, Makoto ^a  

^a CHUO UNIVERSITY   (Japan)

^b UNIVERSITY OF HYOGO   (Japan)

Author keywords

Directed percolation; Fermi partition functions; Friendly walkers; Pair connectedness; Parity problem; Series expansions

Indexed keywords

EID: 0035584940     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.70.1     Document Type: Article

References (32)

1. J. Marro and R. Dickman: Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999).
2. P. Grassberger and A. de la Torre: Ann. Phys. 122 (1979) 373.
3. A. das Neves and J. Kamphorst Leal da Silva: J. Phys. A 24 (1991) 5363.
4. H. Kaya and A. Erzan: Physica A 265 (1999) 53.
5. J. W. Essam, K. De'Bell, J. Adler and F. M. Bhatti: Phys. Rev. B 33 (1986) 1982.
6. R. J. Baxter and A. J. Guttmann: J. Phys. A 21 (1988) 3193.
7. I. Jensen and A. J. Guttmann: J. Phys. A 28 (1995) 4813.
8. I. Jensen and A. J. Guttmann: J. Phys. A 29 (1996) 497.
9. T. Tsuchiya and M. Katori: J. Phys. Soc. Jpn. 67 (1998) 1655.
10. J. Cardy and F. Colaiori: Phys. Rev. Lett. 82 (1999) 2232.
11. M. Katori, T. Tsuchiya, N. Inui and H. Kakuno: Ann. Combi. 3 (1999) 337.
12. N. Konno and M. Katori: J. Stat. Phys. 101 (2000) 747.
13. A. J. Guttmann and M. Vöge: to appear in J. Stat. Interface and Planning.
14. M. Katori: Brazilian Journal of Physics 30 (2000) 83.
15. M. E. Fisher: J. Stat. Phys. 34 (1984) 667.
16. D. K. Arrowsmith, P. Mason and J. W. Essam: Physica A 177 (1991) 267.
17. J. W. Essam and A. J. Guttmann: Phys. Rev. E 52 (1995) 5849.
18. A. J. Guttmann, A. L. Owczarck and X. G. Viennot: J. Phys. A 31 (1998) 8123.
19. D. S. Gaunt and A. J. Guttmann: Phase Transitions and Critical Phenomena, ed. C. Domb and M. S. Green (Academic Press, London, 1974) Vol. 3, p. 181.
20. A. J. Guttmann: Phase Transitions and Critical Phenomena, ed. C. Domb and J. L. Lebowitz (Academic Press, London, 1989) Vol. 13, p. 3.
21. A. J. Guttmann and I. G. Euting: Phys. Rev. Lett. 76 (1996) 344.
22. N. Inui, G. Komatsu and K. Kameoka: J. Phys. Soc. Jpn. 69 (2000) 53.
23. A. J. Guttmann: Discrete Math. 217 (2000) 167.
24. E. Brunet and B. Derrida: Phys. Rev. E 61 (2000) 6789.
25. N. Inui and M. Katori: J. Phys. Soc. Jpn. 70 (2001) 78.
26. R. Durrett: Lecture Notes on Particle Systems and Percolation (Wadsworth, California, 1988).
27. N. Inui, N. Konno, G. Komatsu and K. Kameoka: J. Phys. Soc. Jpn. 67 (1998) 99.
28. M. Katori, N. Konno and H. Tanemura: J. Stat Phys. 99 (2000) 603.
29. D. K. Arrowsmith and J. W. Essam: J. Math. Phys 18 (1977) 235.
30. J. W. Essam and M. E. Fisher: Rev. Mod. Phys. Suppl. 42 (1970) 272.
31. D. Dhar: Phys. Rev. Lett. 49 (1982) 959.
32. C. Krattenthaler, A. J. Guttmann and X. G. Viennot: J. Phys. A: Math. Gen. 33 (2000) 8835.