Universal scaling functions and quantities in percolation models

Physica A: Statistical Mechanics and its Applications

Volumn 266, Issue 1-4, 1999, Pages 27-34

  Hu, Chin Kun ^a   Chen, Jau Ann ^a   Lin, Chai Yu ^b  

^a INSTITUTE OF PHYSICS   (Taiwan)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL BONDS; CONFORMAL MAPPING; MATHEMATICAL MODELS; PERCOLATION (SOLID STATE); PROBABILITY; QUANTUM THEORY; RANDOM PROCESSES;

PERCOLATING CLUSTERS; PERCOLATION MODELS; Q-STATE BOND CORRELATED PERCOLATION MODEL; Q-STATE POTTS MODEL; UNIVERSAL FINITE SIZE SCALING FUNCTIONS;

STATISTICAL MECHANICS;

EID: 0345149478     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(98)00570-6     Document Type: Article

References (34)

1. H.E. Stanley, Introduction to Phase Transitions and Critical Phenomena, Oxford University Press, New York, 1971.
2. D. Stauffer, A. Aharony, Introduction to Percolation Theory, 2nd revised ed., Taylor & Francis, London, 1994.
3. M.E. Fisher, in: M.S. Green (Ed.), Proc. 1970 E. Fermi Int. School of Physics, vol. 51, Academic Press, New York, 1971, p. 1.
4. Privman V., Fisher M.E. Phys. Rev. B. 30:1984;322.
5. Hu C.-K. Phys. Rev. B. 46:1992;6592.
6. Hu C.-K. Phys. Rev. Lett. 69:1992;2739.
7. Langlands R.P., Pichet C., Pouliot Ph., Saint-Aubin Y. J. Stat. Phys. 67:1992;553.
8. C.-K. Hu, Phys. Rev. B 29 (1984) 5103, 5109; in: C.-K. Hu (Ed.), Computer-Aided Statistical Physics, AIP, New York, 1992, pp. 79-101.
9. C.-K. Hu, Phys. Rev. B 29 (1984) 5103, 5109; in: C.-K. Hu (Ed.), Computer-Aided Statistical Physics, AIP, New York, 1992, pp. 79-101.
10. Wu F.Y. Rev. Mod. Phys. 54:1982;235.
11. Hu C.-K. Physica A. 189:1992;60.
12. C.-K. Hu, J. Phys. A: Math. Gen. 27 (1994) L813.
13. Hu C.-K. Chin. J. Phys. (Taipei). 32:1994;519.
14. C.-K. Hu, J.-A. Chen, J. Phys. A 28 (1995) L73.
15. Hu C.-K., Chen J.-A., Lin C.-Y. Chin. J. Phys. (Taipei). 34:1996;727.
16. Ziff R.M. Phys. Rev. Lett. 69:1992;2670.
17. C.-K. Hu, C.-Y. Lin, J.-A. Chen, Phys. Rev. Lett. 75 (1995) 193, 2786(E).
18. Hu C.-K., Lin C.-Y., Chen J.-A. Physica A. 221:1995;80.
19. Ruzin I.M., Cooper N.R., Halperin B.I. Phys. Rev. B. 53:1996;1558.
20. C.-K. Hu, J. Korean Phys. Soc. 29 (1996) S97.
21. Hu C.-K., Lin C.-Y. Phys. Rev. Lett. 77:1996;8.
22. C.-Y. Lin, C.-K. Hu, J.-A. Chen, J. Phys. A 32 (1998) L111.
23. Lin C.-Y., Hu C.-K. Phys. Rev. E. 58:1998;1521.
24. Hu C.-K., Wang F.-G. J. Korean Phys. Soc. 31:1997;271.
25. C.-K. Hu, J.-A. Chen, C.-Y. Lin, F.-G. Wang, in: D.F. Landau, K.K. Mon, H.B. Schuttler (Eds.), Computer Simulation Studies in Condensed Matter Physics X, Springer, Berlin, 1998, pp. 7-22.
26. Ziff R.M., Finch S.R., Adamchik V.S. Phys. Rev. Lett. 79:1997;3447.
27. C.-K. Hu, in: D.F. Landau, K.K. Mon, H.B. Schuttler (Eds.), Computer Simulation Studies in Condensed Matter Physics XI, Springer, Berlin, 1999.
28. Hu C.-K. Phys. Rev. Lett. 76:1996;3875.
29. R.M. Ziff, C.D. Lorentz, P. Kleban, Physica A (1999).
30. Swendsen R.H., Wang J.-S. Phys. Rev. Lett. 58:1987;86.
31. Y. Okabe, K. Kaneda, M. Kikuchi, C.-K. Hu, Phys. Rev. E 59 (1999), to be published.
32. C.-K. Hu, J.-A. Chen, Sh. Izmailian, P. Kleban, preprint.
33. J.L. Cardy, J. Phys. A: Math. Gen. 25 (1992) L201.
34. J.L. Cardy, J. Phys. A: Math. Gen. 31 (1998) L105.