Percolation transitions in two dimensions

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

Volumn 78, Issue 3, 2008, Pages

  Feng, Xiaomei ^a,b   Deng, Youjin ^c   Blöte, Henk W J ^a,d  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

^c UNIVERSITY OF HEIDELBERG   (Germany)

^d UNIVERSITEIT LEIDEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

HONEYCOMB STRUCTURES; MATRIX ALGEBRA; MONTE CARLO METHODS; PERCOLATION (COMPUTER STORAGE); PERCOLATION (SOLID STATE); SOLVENTS;

BOND-PERCOLATION; CONFORMAL INVARIANCE; COULOMB GASES; CYLINDRICAL GEOMETRIES; FINITE SYSTEMS; MONTE-CARLO SIMULATIONS; NEAREST NEIGHBORS; PERCOLATION MODELS; PERCOLATION THRESHOLDS; PERCOLATION TRANSITIONS; POWER-LAW CORRECTION; SQUARE LATTICES; TRANSFER-MATRIX CALCULATIONS; TRIANGULAR LATTICES; TWO DIMENSIONS; TWO-DIMENSIONAL LATTICES;

PERCOLATION (FLUIDS);

EID: 53449097859     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.031136     Document Type: Article

References (35)

1. M. F. Sykes and J. W. Essam, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704215 5, 1117 (1964).
2. J. W. Essam, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, New York, 1983), Vol. 2.
3. B. Derrida and J. Vannimenus, J. Phys. (France) Lett. JPSLBO 0302-072X 10.1051/jphyslet:019800041020047300 41, L473 (1980).
4. H. Kesten, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01197577 74, 41 (1980).
5. A. Margolina, H. Nakanishi, D. Stauffer, and H. E. Stanley, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/17/8/024 17, 1683 (1984).
6. B. Nienhuis, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, New York, 1987), Vol. 11.
7. P. N. Suding and R. M. Ziff, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.275 60, 275 (1999).
8. R. M. Ziff and P. N. Suding, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/15/021 30, 5351 (1997).
9. C. R. Scullard and R. M. Ziff, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.045102 73, 045102 (R) (2006).
10. Y. Deng and H. W. J. Blöte, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.016126 72, 016126 (2005).
11. P. W. Kasteleyn and C. M. Fortuin, J. Phys. Soc. Jpn. JUPSAU 0031-9015 46 (Suppl.), 11 (1969);
12. C. M. Fortuin and P. W. Kasteleyn, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(72)90045-6 57, 536 (1972).
13. H. W. J. Blöte, M. P. Nightingale, and B. Derrida, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/14/2/005 14, L45 (1981).
14. H. W. J. Blöte and M. P. Nightingale, Physica A PHYADX 0378-4371 10.1016/0378-4371(82)90187-X 112, 405 (1982).
15. X.-F. Qian, Y. Deng, and H. W. J. Blöte, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.056132 72, 056132 (2005).
16. H. W. J. Blöte, F. Y. Wu, and X. N. Wu, Int. J. Mod. Phys. B IJPBEV 0217-9792 4, 619 (1990).
17. Y. M. M. Knops, H. W. J. Blöte, and B. Nienhuis, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/26/3/014 26, 495 (1993).
18. H. W. J. Blöte and M. P. Nightingale, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.15046 47, 15046 (1993).
19. J. L. Cardy, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/17/7/003 17, L385 (1984).
20. J. L. Cardy, in Phase Transitions and Critical Phenomena (Ref.).
21. A. Hoogland, J. Spaa, B. Selman, and A. Compagner, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(83)90091-8 51, 250 (1983);
22. A. Hoogland, A. Compagner, and H. W. J. Blöte, in Architecture and Performance of Specialized Computers, edited by, B. Alder, Computational Techniques Vol. 5 (Academic, New York, 1988), Chap..
23. L. N. Shchur and H. W. J. Blöte, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.R4905 55, R4905 (1997).
24. R. M. Ziff, C. D. Lorentz, and P. Kleban, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00569-X 266, 17 (1999).
25. H. T. Pinson, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02186762 75, 1167 (1994).
26. For reviews, see, e.g., M. P. Nightingale, in Finite-Size Scaling and Numerical Simulation of Statistical Systems, edited by, V. Privman, (World Scientific, Singapore, 1990);
27. M. N. Barber, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, New York, 1983), Vol. 8.
28. F. J. Wegner, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, M. S. Green, (Academic, New York, 1976), Vol. 6.
29. W. Zhang and Y. Deng (unpublished).
30. M. J. Lee, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.027702 76, 027702 (2007).
31. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01009438 34, 763 (1984).
32. D. Friedan, Z. Qiu, and S. Shenker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.1575 52, 1575 (1984).
33. V. G. Kac, in Group Theoretical Methods in Physics, edited by, W. Beiglbock, and, A. Bohm, Lecture Notes in Physics Vol. 94 (Springer, New York, 1979), p. 441.
34. M. P. Nightingale, Proc. K. Ned. Akad. Wet., Ser. B Palaeontol., Geol., Phys., Chem. PKNCD5 0023-3366 82, 235 (1979).
35. J. Adler and V. Privman, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/ 14/11/008 14, L463 (1981).