Open Access
Issue
EPJ Web of Conferences
Volume 108, 2016
Mathematical Modeling and Computational Physics (MMCP 2015)
Article Number 01005
Number of page(s) 12
Section Plenary and Invited Lectures
DOI https://doi.org/10.1051/epjconf/201610801005
Published online 09 February 2016
  1. For a recent review, see C.-K.Hu, Chinese J. Phys. (Taipei) 52, 1–76 (2014).
  2. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford Univ. Press, New York, 1971).
  3. J. E. Lennard-Jones, Physica 4, 941 (1937) [CrossRef]
  4. J. E. Lennard-Jones and A. F. Devonshire, Proc. Roy. Soc. London Ser. A 163, 53 (1937); [CrossRef]
  5. 165, 1 (1938);
  6. 169, 317 (1939).
  7. H. Watanabe, N. Ito, and C.-K. Hu, J. Chem. Phys. 136, 204102 (2012). [CrossRef] [PubMed]
  8. E. Ising, Zeitschrift fur Physik 31, 253 (1925). [CrossRef]
  9. H. A. Kramers and G. H. Wannier, Phys. Rev. 60, 252 (1941). [CrossRef] [MathSciNet]
  10. L. Onsager, Phys. Rev. 65, 117 (1944). [CrossRef] [MathSciNet]
  11. L. Onsager, Nuovo Cimento VI Suppl. p. 261 (1949).
  12. B. Kaufman, Phys. Rev. 76, 1232 (1949). [CrossRef]
  13. B. Kaufman and L. Onsager, Phys. Rev. 76, 1244 (1949). [CrossRef]
  14. C. N. Yang, Phys. Rev. 85, 808 (1952). [CrossRef]
  15. C. N. Yang and T. D. Lee, Phys. Rev. 87, 404 (1952). [CrossRef]
  16. T. D. Lee and C. N. Yang, Phys. Rev. 87, 410 (1952). [CrossRef]
  17. C. H. Chang, Phys. Rev. 88, 1422 (1952). [CrossRef]
  18. M. E. Fisher, in Lecture Notes in Theoretical Physics, edited by W. E. Brittin (University of Colorado Press, Boulder, 1965), Vol. 7c.
  19. S. G. Brush, Rev. Mod. Phys. 39, 883 (1967). [CrossRef]
  20. H. W. J. Blöte, E. Luijten and J. R. Heringa, J. Phys. A: Math. Gen. 28, 6289 (1995). [CrossRef]
  21. N. S. Izmailian and C.-K. Hu, Physica A 254, 198–206 (1998); [CrossRef]
  22. C.-K. Hu and N. S. Izmailian, Phys. Rev. E 58, 1644 (1998); [CrossRef]
  23. M.-C. Wu and C.-K. Hu, J Phys. A: Math. Gen. 35, 5189 (2002). [CrossRef]
  24. R. H. Fowler, G. S. Rushbrooke, Trans. Faraday. Soc. 33, 1272 (1937). [CrossRef]
  25. P. W. Kasteleyn, Physica 27, 1209 (1961). [CrossRef]
  26. M. E. Fisher, Phys. Rev. 124, 1664 (1961). [CrossRef] [MathSciNet]
  27. H. N. V. Temperleya and M. E. Fisher, Philosophical Magazine 6, 1061 (1961). [CrossRef]
  28. A. E. Ferdinand, J. Math. Phys. 8, 2332 (1967). [CrossRef]
  29. E. V. Ivashkevich, N.Sh. Izmailian, and C.-K. Hu, J. Phys. A: Math. Gen. 35, 5543 (2002); [CrossRef]
  30. N. Sh. Izmailian, K. B. Oganesyan and C.-K. Hu, Phys. Rev. E 67, 066114 (2003); [CrossRef]
  31. N. Sh. Izmailian, V. B. Priezzhev, P. Ruelle, and C.-K. Hu, Phys. Rev. Lett. 95, 260602 (2005); [CrossRef] [PubMed]
  32. N. Sh. Izmailian, K. B. Oganesyan, M. C. Wu, and C.-K. Hu, Phys. Rev. E 73, 016128 (2006); [CrossRef]
  33. N. Sh. Izmailian and C.-K. Hu, Phys. Rev. E 87, 012110 (2013); [CrossRef]
  34. N. Sh. Izmailian, C.-K. Hu, and R. Kenna, Phys. Rev. E 91, 062139 (2015). [CrossRef]
  35. R. B. Potts, Proc. Camb. Phil. Soc. 48, 106 (1952). [CrossRef] [MathSciNet]
  36. P. W. Kasteleyn and C. M. Fortuin, J. Phys. Soc. Jpn (Suppl) 26, 11 (1969).
  37. C. M. Fortuin and P. W. Kasteleyn, Physica 57, 536 (1972). [CrossRef] [MathSciNet]
  38. R. J. Baxter, J. Phys. C 6, L445 (1973). [CrossRef]
  39. D. Kim and R. I. Joseph, J. Phys. C: Solid State Phys. 7, L167 (1974). [CrossRef]
  40. R. J. Baxter, H. N. V. Temperley, and S. E. Ashley, Proc. Roy. Soc. London Ser. A 358, 535 (1978). [CrossRef]
  41. F. Y. Wu, J. Stat. Phys. 18, 115 (1978). [CrossRef]
  42. M P M den Nijs, J. Phys. A: Math. Gen. 12, 1857 (1979). [CrossRef]
  43. F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982). [CrossRef]
  44. J. M. Hammersley, Ann. Math. Stat. 28, 790 (1957). [CrossRef]
  45. V. A. Vyssotsky, H. L. Frisch, J. M. Hammersley, et al., Phys. Rev. 123, 1566 (1961); [CrossRef] [MathSciNet]
  46. H. L. Frisch, V. A. Vyssotsky, E. Sonnenblick, et al., Phys. Rev. 124, 1021 (1961); [CrossRef]
  47. H. L. Frisch, J. M. Hammersley, and D. J. A. Welsh, Phys. Rev. 126, 949 (1962); [CrossRef]
  48. H. L. Frisch and J. M. Hammersley, J. Soc. Industrial Applied Math. 11, 894 (1963); [CrossRef]
  49. J. M. Hammersley, J. Royal Stat. Soc. Series B-Stat. Methodology 28, 491 (1966).
  50. M. E. Fisher and J. W. Essam, J. Math. Phys. 2, 609 (1961) [CrossRef]
  51. M. E. Fisher, J. Math. Phys. 2, 620 (1961). [CrossRef]
  52. M. F. Sykes1 and J. W. Essam, J. Math. Phys. 5, 1117 (1964). [CrossRef]
  53. J. Hoshen and R. Kopleman, Phys. Rev. B 14, 3438 (1976). [NASA ADS] [CrossRef]
  54. W. J. C. Orr: Trans. Faraday Soc. 43, 12 (1947). [CrossRef]
  55. F. T. Wall and L. A. Hiller. J. Chem. Phys. 22, 1036 (1954). [CrossRef]
  56. M. N. Rosenbluth and Arianna W. Rosenbluth, Chem. Phys. 23, 356 (1955).
  57. D. C. Rapaport, Phys. Lett. A 48, 339 (1974). [CrossRef]
  58. R. Finsy, M. Janssens, and A. J. Bellemans, J. Phys. A: Math. Gen. 8, L106 (1975). [CrossRef]
  59. E. Shakhnovich and A. Gutin A., J. Chem. Phys. 93, 5967 (1990), where the total number of compact comformations unrelated by symmetry was given by 103346 = 826768=8. [CrossRef]
  60. M. C. Tesi, E. J. Janse van Rensburg, E. Orlandini, and S. G. Whittington, J. Stat. Phys. 82, 155–181 (1996). [CrossRef]
  61. T. Vogel, M. Bachmann, and W. Janke, Phys. Rev. E 76, 061803 (2007). [CrossRef]
  62. J. H. Lee, S.-Y. Kim and J. Lee, Phys. Rev. E 86, 011802 (2012). [CrossRef]
  63. C.-N. Chen, Y.-H. Hsieh, and C.-K. Hu, EPL 104, 20005 (2013). [CrossRef] [EDP Sciences]
  64. C.-K. Hu, Physica A 119, 609 (1983). [CrossRef]
  65. C.-K. Hu, Phys. Rev. B 29, 5103 (1984). [CrossRef]
  66. C.-K. Hu, Phys. Rev. B 29, 5109 (1984). [CrossRef]
  67. C.-K. Hu, J. Phys. A: Math. Gen 16, L321 (1983). [CrossRef]
  68. C.-K. Hu, The History of Science Newsletter (Taipei) Suppl. 5, 80 (1986).
  69. C.-K. Hu and C.-N. Chen, Phys. Rev. B, 38, 2765 (1988); [CrossRef]
  70. Phys. Lett. A 130, 436 (1988); [CrossRef]
  71. Phys. Rev. B 39, 4449 (1989). [CrossRef]
  72. C.-N. Chen and C.-K. Hu, Phys. Rev. B 43, 11519 (1991). [CrossRef]
  73. C.-K. Hu, Phys. Rev. B 46, 6592 (1992). [CrossRef]
  74. C.-K. Hu, Phys. Rev. Lett. 69, 2739 (1992). [CrossRef] [PubMed]
  75. C.-K. Hu, Phys. Rev. Lett. 70, 2045 (1993); [CrossRef] [PubMed]
  76. see also J. R.Heringa and H. W. J. Blote 70, 2044 (1993) and
  77. W. Weigel, W. Janke, and C.-K. Hu, Phys. Rev. E 65, 036109 (2002). [CrossRef]
  78. M. E. Fisher, in Proc. 1970 E. Fermi Int. School of Physics, M. S. Green ed. (Academic, NY, 1971) Vol. 51, p. 1.
  79. V. Privman and M. E. Fisher, Phys. Rev. B 30, 322 (1984). [CrossRef]
  80. C.-K. Hu, J. Phys. A 27, L813 (1994). [CrossRef]
  81. C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Phys. Rev. Lett. 75, 193 and 2786 (E) (1995). [CrossRef] [PubMed]
  82. C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Physica A 221, 80 (1995). [CrossRef]
  83. C.-K. Hu and C.-Y. Lin, Phys. Rev. Lett. 77, 8 (1996). [CrossRef] [PubMed]
  84. C. Y. Lin and C.-K. Hu, Phys. Rev. E, 58, 1521 (1998). [CrossRef]
  85. F. G. Wang and C.-K. Hu, Phys. Rev. E 56, 2310 (1997). [CrossRef]
  86. Y. Okabe, K. Kaneda, M. Kikuchi, and C.-K. Hu, Phys. Rev. E 59, 1585 (1999). [CrossRef]
  87. Y. Tomita, Y. Okabe and C.-K. Hu, Phys. Rev. E 60, 2716 (1999). [CrossRef]
  88. C.-N. Chen, C.-K. Hu and F. Y. Wu, Phys. Rev. Lett. 76, 169 (1996). [CrossRef] [PubMed]
  89. see also F. Y. Wu, et al., Phys. Rev. Lett. 76, 173 (1996); [CrossRef] [PubMed]
  90. S. Y. Kim, R. J. Creswick, C. N. Chen, and C.-K. Hu, Physica A 281, 262 (2000). [CrossRef]
  91. P. J. Flory, J. Chem. Phys. 10, 51 (1942). [CrossRef]
  92. R. D. Schram, G. T. Barkema and R. H. Bisseling, J. Stat. Mech.: Theory and Exp. P06019 (2011).
  93. T. Wüst and D. P. Landau, Phys. Rev. Lett. 102, 178101 (2009). [CrossRef] [PubMed]
  94. H. P. Hsu, V. Mehra, W. Nadler, and P. Grassberger, J. Chem. Phys. 118, 444 (2003); [CrossRef]
  95. Phys. Rev. E 68, 021113 (2003). [CrossRef]
  96. F. Wang and D. F. Landau, Phys. Rev. Lett. 86, 2050 (2001). [CrossRef] [PubMed]
  97. M. Bachmann and W. Janke, Phys. Rev. Lett. 91. 208105 (2003). [CrossRef] [PubMed]
  98. K. A. Dill, Biochemistry 24, 1501 (1985); [CrossRef] [PubMed]
  99. C. N. Chen and C.-Y. Lin, Physica A 350, 45 (2005); [CrossRef]
  100. R. Schiemann, M. Bachmann, and W. Janke, J. Chem. Phys. 122, 114705 (2005). [CrossRef] [PubMed]
  101. See e.g., H. Li, R. Helling, C. Tang, and N. Wingreen, Science 273, 666 (1996); [CrossRef] [PubMed]
  102. M. S. Li, N. T. Co, G. Reddy, C.-K. Hu, J. E. Straub, and D. Thirumalai, Phys. Rev. Lett. 105, 218101(2010); [CrossRef] [PubMed]
  103. N. T. Co, C.-K. Hu, and M. S. Li, J. Chem. Phys. 138, 185101 (2013). [CrossRef] [PubMed]

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