Simulations of lattice animals and trees

Journal of Physics A: Mathematical and General

Volumn 38, Issue 4, 2005, Pages 775-806

  Hsu, Hsiao Ping ^a   Nadler, Walter ^a   Grassberger, Peter ^a  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13144301677     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/4/001     Document Type: Article

References (88)

1. Colomb S 1994 Polyominoes: Puzzles, Patterns, Problems and Packings (Princeton, NJ: Princeton University Press)
2. Stauffer D and Aharony A 1992 Introduction to Percolation Theory 2nd edn (London: Taylor and Francis)
3. Fortuin C M and Kasteleyn P W 1972 Physica 57 536
4. Swendsen R H and Wang J-S 1986 Phys. Rev. Lett. 57 2607
5. Drouffe J M, Parisi G and Sourlas N 1979 Nucl. Phys. B 161 397
6. Jensen I 2003 Counting Polyominoes: A Parallel Implementation for Cluster Counting ICCS 2003 ed P M A Sloot et al (Berlin: Springer) pp 203-12
7. Lubensky T C and Isaacson J 1978 Phys. Rev. Lett. 41 829
8. Lubensky T C and Isaacson J 1979 Phys. Rev. Lett. 42 410(E)
9. Lubensky T C and Isaacson J 1979 Phys. Rev. A 20 2130
10. Janse van Rensburg E J and Madras N 1997 J. Phys. A: Math. Gen. 30 8035
11. Adler J, Meir Y, Harris A B and Aharony A 1988 Phys. Rev. B 38 4941
12. Miller J D and De'Bell K 1993 J. Phys. 13 1717
13. Parisi G and Sourlas N 1981 Phys. Rev. Lett. 46 871
14. Imbrie J Z 2003 Preprint arXiv.org/abs/math-ph/0303015
15. Baxter R J, Enting I G and Tsang S K 1980 J. Stat. Phys. 22 465
16. Dhar D 1983 Phys. Rev. Lett. 51 853
17. Jassen H K and Lyssy A 1992 J. Phys. A: Math. Gen. 25 L679
18. Janssen H K and Lyssy A 1994 Phys. Rev. E 50 3784
19. Janssen H K and Lyssy A 1995 Europhys. Lett. 29 25
20. De'Bell K, Lookman T and Zhao D 1991 Phys. Rev. A 44 1390
21. Lookman T, Zhao D and De'Bell K 1991 Phys. Rev. 44 4814
22. De'Bell K and Lookman T 1992 Rev. Mod. Phys. 65 87
23. Grassberger P 1997 Phys. Rev. E 56 3682
24. Madras N, Soteros C E, Whittington S G, Martin J L, Sykes M F, Flesia S and Gaunt D S 1990 J. Phys. A: Math. Gen. 23 5327
25. Flesia S, Gaunt D S, Soteros C E and Whittington S G 1992 J. Phys. A: Math. Gen. 25 L1169
26. Flesia S, Gaunt D S, Soteros C E and Whittington S G 1994 J. Phys. A: Math. Gen. 27 5831
27. Seno F and Vanderzande C 1994 J. Phys. A: Math. Gen. 27 5813
28. Henkel M and Seno F 1996 Phys. Rev. E 53 3662
29. Stratychuk L M and Soteros C E 1996 J. Phys. A: Math. Gen. 29 7067
30. Madras N and Janse van Rensburg E J 1997 J. Stat. Phys. 86 1
31. Janse van Rensburg E J, Orlandini E and Tesi M C 1999 J. Phys. A: Math. Gen. 32 1567
32. Janse van Rensburg E J 2000 J. Phys. A: Math. Gen. 33 3653
33. Derrida B and Hermann H J 1983 J. Phys. 44 1365
34. Dickman R and Schieve W C 1984 J. Phys. 45 1727
35. Lam P M 1987 Phys. Rev. B 36 6988
36. Lam P M 1988 Phys. Rev. B 38 2813
37. de Alcantara Bonfim D F, Kirkham J E and McKane A J 1981 J. Phys. A: Math. Gen. 14 2391
38. Martin J L 1974 Computer enumerations Phase Transitions and Critical Phenomena vol 3 ed C Domb and M S Green (London: Academic)
39. Redner S 1982 J. Stat. Phys. 29 309
40. Redelmeier D H 1981 Discrete Math. 36 191
41. Mertens S 1990 J. Stat. Phys. 58 1095
42. Jensen I and Guttmann A J 2000 J. Phys. A: Math. Gen. 33 L257
43. Jensen I 2001 J. Stat. Phys. 102 865
44. Derrida B and De Seze L 1981 J. Phys. 43 475
45. Peters H P, Stauffer D, Hölters H P and Loewenich K 1979 Z. Phys. B: Condens. Matter 34 399
46. Sykes M F and Glen M 1976 J. Phys. A: Math. Gen. 9 87
47. Gaunt D S, Sykes M F, Torrie G M and Whittington S G 1982 J. Phys. A: Math. Gen. 15 3209
48. Whittington S G, Torrie G M and Gaunt D S 1983 J. Phys. A: Math. Gen. 16 1695
49. Lam P M 1986 Phys. Rev. A 34 2339
50. Edwards B F, Gyure M F and Ferer M 1992 Phys. Rev. A 46 6252
51. Foster D P and Seno F 1993 J. Phys. A: Math. Gen. 26 1299
52. Stauffer D 1978 Phys. Rev. Lett. 41 1333
53. Seitz W A and Klein D J 1981 J. Chem. Phys. 75 5190
54. Glaus U 1985 J. Phys. A: Math. Gen. 18 L609
55. Janse van Rensburg E J and Madras N 1992 J. Phys. A: Math. Gen. 25 303
56. You S and Janse van Rensburg E J 2001 Phys. Rev. E 64 046101
57. Janse van Rensburg E J and Rechnitzer A 2003 Phys. Rev. E 67 036116
58. You S and Janse van Rensburg E J 1998 Phys. Rev. E 58 3971
59. de Queiroz S L A 1995 J. Phys. A: Math. Gen. 28 6515
60. Vujić 5 D 1999 J. Stat. Phys. 95 767
61. Lam P M and Binder K 1988 J. Phys. A: Math. Gen. 21 L405
62. Madras N and Sokal A D 1988 J. Stat. Phys. 50 109
63. Grassberger P 2003 Phys. Rev. E 67 036101
64. Redner S 1979 J. Phys. A: Math. Gen. 12 L239
65. Meirovitch H 1987 J. Phys. A: Math. Gen. 20 6059
66. Leath P 1976 Phys. Rev. B 14 5046
67. Care C M 1997 Phys. Rev. E 56 1181
68. Care C M and Ettelaie R 2000 Phys. Rev. E 62 1397
69. Grassberger P 1983 Math. Biosci. 62 157
70. Swendsen R H and Wang J-S 1990 Physica A 167 565
71. Rosenbluth M N and Rosenbluth A W 1955 J. Chem. Phys. 23 356
72. Grassberger P 2002 Comp. Phys. Commun. 147 64
73. Hsu H-P, Nadler W and Grassberger P 2004 Macromolecules 37 4658
74. Hsu H-P and Grassberger P 2004 Europhys. Lett. 66 874
75. Hsu H-P, Mehra V, Nadler W and Grassberger P 2003 Phys. Rev. E 68 021113
76. Grassberger P 2004 Preprint cond-mat/0408571
77. Grassberger P 1999 J. Chem. Phys. 111 440
78. Lai S-N and Fisher M E 1995 J. Chem. Phys. 103 8144
79. Guttmann A J and Gaunt D S 1978 J. Phys. A: Math. Gen. 11 949
80. Peard P J and Gaunt D S 1995 J. Phys. A: Math. Gen. 28 6109
81. Diehl H-W 1986 Phase Transitions and Critical Phenomena vol 10 ed C Domb and J L Lebowitz (New York: Academic)
82. Hegger R and Grassberger P 1994 J. Phys. A: Math. Gen. 27 4069
83. Grassberger P 2004 Preprint eond-mat/0410055
84. Burkhardt T W, Eisenriegler E and Guim I 1989 Nucl. Phys. B 316 559
85. van Vliet J H and Brinke G 1990 J. Chem. Phys. 93 1436 van Vliet J H, Luiken M C and Brinke G 1992 Macromolecules 25 3802
86. van Vliet J H and Brinke G 1990 J. Chem. Phys. 93 1436 van Vliet J H, Luiken M C and Brinke G 1992 Macromolecules 25 3802
87. Grassberger P 1999 Physica A 262 251
88. Gaunt D S and Ruskin H 1978 J. Phys. A: Math. Gen. 11 1369