Universal finite-size scaling functions for critical systems with tilted boundary conditions

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

Volumn 59, Issue 2, 1999, Pages 1585-1588

  Okabe, Yutaka ^a   Kaneda, Kazuhisa ^a   Kikuchi, Macoto ^b   Hu, Chin Kun ^c  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

^b OSAKA UNIVERSITY   (Japan)

^c INSTITUTE OF PHYSICS   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; LATTICE CONSTANTS; MAGNETIZATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; PERCOLATION (SOLID STATE); PROBABILITY;

BINDER PARAMETER; CRITICAL SYSTEM; FINITE SIZE SCALING FUNCTION; ISING MODEL;

STATISTICAL MECHANICS;

EID: 0033072748     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.1585     Document Type: Article

References (25)

1. M. E. Fisher, in Critical Phenomena, Proceedings of the International School of Physics “Enrico Fermi,” Course LI, Varenna on Lake Como, 1970, edited by M. S. Green (Academic, New York, 1971), Vol. 51, p. 1.
2. V. Privman and M. E. Fisher, Phys. Rev. B 30, 322 (1984).
3. J. O. Indekeu, M. P. Nightingale, and W. V. Wang, Phys. Rev. B 34, 330 (1986).
4. Finite-Size Scaling, edited by J. L. Cardy (North-Holland, New York, 1988).
5. D. Stauffer and A. Aharony, Introduction to Percolation Theory, revised, 2nd ed. (Taylor and Francis, London, 1994).
6. G. Kamieniarz and H. W. J. Blöte, J. Phys. A 26, 201 (1993).
7. A. E. Ferdinand and M. E. Fisher, Phys. Rev. 185, 832 (1969).
8. C.-K. Hu, J. Phys. A 27, L813 (1994).
9. C.-K. Hu and J.-A. Chen, J. Phys. A 28, L73 (1995).
10. C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Phys. Rev. Lett. 75, 193 (1995)
11. Phys. Rev. Lett.C.-K. HuC.-Y. LinJ.-A. Chen75, 2786(E) (1995)
12. C.-K. HuC.-Y. LinJ.-A. ChenPhysica A 221, 80 (1995).
13. Y. Okabe and M. Kikuchi, Int. J. Mod. Phys. C 7, 287 (1996).
14. C.-K. Hu, J. Korean Phys. Soc. 29, S97-101 (1996).
15. C.-K. Hu and C.-Y. Lin, Phys. Rev. Lett. 77, 8 (1996).
16. C.-K. Hu and F.-G. Wang, J. Korean Phys. Soc. 31, S271-277 (1997).
17. F.-G. Wang and C.-K. Hu, Phys. Rev. E 56, 2310 (1997).
18. R. P. Langlands, C. Pichet, Ph. Pouliot, and Y. Saint-Aubin, J. Stat. Phys. 67, 553 (1992).
19. Papers (2.2), (2.4), (2.6), and (2.8) of 4 find that systems with helical (i.e., tilted) boundary conditions have the same critical exponents and points as systems with other boundary conditions. However, these papers do not address universal finite-size scaling functions considered in the present paper.
20. Monte Carlo Methods in Statistical Physics, 2nd ed., edited by K. Binder, Topics in Current Physics Vol. 7 (Springer-Verlag, Heidelberg, 1986).
21. M. E. Fisher, Rep. Prog. Phys. 30, 615 (1967).
22. C.-K. Hu, Phys. Rev. Lett. 76, 3875 (1996).
23. J. L. Cardy, Nucl. Phys. B 270, 186 (1986)
24. J. L. CardyJ. Phys. A 25, L201 (1992).
25. After this paper was submitted, we became aware of the following paper on universal excess cluster numbers for percolation on lattices with tilted bc: R. M. Ziff, C. D. Lorenz, and P. Kleban, e-print cond-mat/9811122 and Physica A (to be published).