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Part of the book series: NATO Science Series ((ASIC,volume 545))

Abstract

Monte Carlo simulations of spin models for liquid crystal bulk systems are described. A concise description of second rank Lebwohl-Lasher models of various dimensionality and of models containing in addition interactions of first and fourth rank is provided. Biaxial lattice models are also briefly discussed.

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References

  1. Binder, K. (ed.), (1984) Applications of the Monte Carlo Method in Statistical Physics (Springer — Verlag).

    Google Scholar 

  2. Allen, M.P. and Tildesley, D.J. (1987) Computer Simulation of Liquids, Clarendon Press, Oxford.

    MATH  Google Scholar 

  3. Kremer, K. and Binder, K. (1988) Computer Phys. Rep., 7, 259.

    Article  ADS  Google Scholar 

  4. Lebwohl, P.A. and Lasher G., (1972) Phys Rev. A, 6, 426.

    Article  ADS  Google Scholar 

  5. Gay, J.G. and Berne, B.J. (1981) J. Chem. Phys., 74, 3316.

    Article  ADS  Google Scholar 

  6. Binder, K., (1974) Adv. Phys., 23, 917.

    Article  ADS  Google Scholar 

  7. Zannoni, C., (1979) in: The Molecular Physics of Liquid Crystals, eds. Luckhurst, G.R. and Gray, G.W., ch. 9. Academic Press, New York.

    Google Scholar 

  8. Luckhurst, G.R. and Simpson, P., (1982) Mol. Phys., 47, 251.

    Article  ADS  Google Scholar 

  9. Fabbri, U. and Zannoni, C., (1986) Molec. Phys., 58, 763.

    Article  ADS  Google Scholar 

  10. Zhang, Z., Zuckermann, M.J. and Mouritsen, O.G., (1991) Phys. Rev. Lett., 69, 2803.

    Article  ADS  Google Scholar 

  11. Cleaver, D.J. and Allen, M.P., (1991) Phys. Rev. A, 43, 1918.

    Article  ADS  Google Scholar 

  12. Greef C.W. and Lee, M.A., (1994) Phys. Rev. E, 49, 3225.

    Article  ADS  Google Scholar 

  13. Biscarini, F., Zannoni, C., Chiccoli, C. and Pasini, P., (1991) Molec. Phys., 73, 439.

    Article  ADS  Google Scholar 

  14. Fuller, G.J., Luckhurst, G.R. and Zannoni, C. (1985) Chem. Phys., 92, 105.

    Article  Google Scholar 

  15. Luckhurst, G.R. and Romano, S. (1980) Mol. Phys., 40, 129.

    Article  ADS  Google Scholar 

  16. Chiccoli, C., Pasini, P. and Zannoni, C., (1997) Int. J. Mod. Phys. B., 11, 1937.

    Article  ADS  Google Scholar 

  17. Metropolis N., Rosenbluth A.W., Rosenbluth M.N., Teller A.H. and Teller E., (1953) J. Chem. Phys., 21, 1087.

    Article  ADS  Google Scholar 

  18. Chiccoli, C., Pasini, P., and Zannoni, C., (1987) Liq. Cryst., 2, 39.

    Google Scholar 

  19. Fisher, M.E. (1971) in Proceedings of the International School E. Fermi, Course 51, Varenna, Green, M.S. (ed), Academic, New York.

    Google Scholar 

  20. Binder, K. and Landau, D.P. (1984) Phys. Rev. B, 30, 1477.

    Article  ADS  Google Scholar 

  21. Mouritsen, O.G. (1984), Computer Studies of Phase Transitions and Critical Phenomena Springer, Berlin.

    Book  Google Scholar 

  22. Zhang, Z., Mouritsen, O. G. and Zuckermann, M. (1993) Mod. Phys. Lett. B, 7, 217.

    Article  ADS  Google Scholar 

  23. Ferrenberg A.M. and Swendsen, R.H. (1988) Phys. Rev. Lett., 61, 2635.

    Article  ADS  Google Scholar 

  24. Leenhouts, F., de Jeu, W.H. and Dekker, A.J. (1979) J. de Physique, 40, 989.

    Article  Google Scholar 

  25. Wu, S.T. and Cox, R.J. (1988) J. Appl. Phys., 64, 821.

    Article  ADS  Google Scholar 

  26. Luckhurst, G.R. and Zannoni, C. (1977) Nature, 267, 412.

    Article  ADS  Google Scholar 

  27. Berggren, E., Chiccoli, C., Pasini, P., Semeria, F. and Zannoni, C. (1994) Phys. Rev. E, 50, 2929.

    Article  ADS  Google Scholar 

  28. Mountain, R. and Rujgrok, Th.W. (1977) Physica, 89A, 522.

    ADS  Google Scholar 

  29. Tobochnik, J. and Chester, G.V. (1979) Phys. Rev B, 20, 3761.

    Article  ADS  Google Scholar 

  30. Chiccoli, C., Pasini, P., and Zannoni, C., (1988) Physica, 148A, 298.

    ADS  Google Scholar 

  31. Chiccoli, C., Pasini, P., and Zannoni, C., (1988) Liq. Cryst., 3, 363.

    Article  Google Scholar 

  32. Romano, S. (1987) Nuovo Cim., B100, 447.

    ADS  Google Scholar 

  33. Romano, S. (1988) Nuovo Cim., D10, 1459.

    Google Scholar 

  34. Romano, S. (1991) Liq. Cryst., 10, 73.

    Article  Google Scholar 

  35. Kunz, H and Zumbach, G., (1991) Phys. Lett., 257B, 299.

    Google Scholar 

  36. Caracciolo, S., Edwards, R.G., Pellissetto, A. and Sokal, A.D. (1993) Nucl. Phys. B (Proc. SuppL), 30, 815.

    Article  Google Scholar 

  37. Vuillermot, P.A. and Romerio, M.V. (1975) Commun. Math. Phys., 41, 281.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  38. Vuillermot, P.A. and Romerio, M.V. (1973) J. Phys. C, 6, 2922.

    Article  ADS  Google Scholar 

  39. Zannoni, C., (1986) J. Chem. Phys., 84, 424.

    Article  ADS  Google Scholar 

  40. Levine, R.D. and Tribus, M. (eds.) (1979) The Maximum Entropy Formalism MIT Press, Boston.

    MATH  Google Scholar 

  41. Chiccoli, C., Pasini, P., Biscarini, F., Zannoni, C. (1988) Molec. Phys., 65, 1505.

    Article  ADS  Google Scholar 

  42. Chiccoli, C., Pasini, P., Semeria, F. and Zannoni, C. (1993). Int. J. Mod. Phys. C, 4, 1041.

    Article  ADS  Google Scholar 

  43. Chiccoli, C., Pasini, P., Semeria, F. and Zannoni, C., (1993) Phys. Lett. A, 176, 428.

    Article  ADS  Google Scholar 

  44. Pottel, H., Herreman, W., van der Meer, B.W. and Ameloot, M. (1986) Chem. Phys., 102, 37.

    Article  Google Scholar 

  45. Ameloot, M., Hendrickx, H., Herreman, W., Pottel, H., van Cauwelaert, F. and van der Meer, W. (1984) Biophys. J., 46, 525.

    Article  Google Scholar 

  46. Zhang, Z., Zuckermann, M. and Mouritsen, O. G. Mol. Phys. (1993), 80, 1195.

    Google Scholar 

  47. Krieger, T.J. and James, H.M., (1954) J. Chem. Phys., 22, 796.

    Article  ADS  Google Scholar 

  48. Lin Lei, (1987) Mol. Cryst. Liq. Cryst., 146, 41.

    Article  Google Scholar 

  49. Malthête, J. and Collet, A., (1985) Nouv. J. de Chimie, 9, 151.

    Google Scholar 

  50. Zimmermann, H., Poupko, R., Luz, Z. and J. Billard, (1985) Z. Naturforsch., 40a, 149.

    ADS  Google Scholar 

  51. Freiser, M.J. (1970) Phys. Rev. Lett., 24, 1041.

    Article  ADS  Google Scholar 

  52. Straley, J.P. (1974) Phys. Rev. A, 10, 1881.

    Article  ADS  Google Scholar 

  53. Luckhurst, G.R., Zannoni, C., Nordio, P.L., Segre, U. (1975) Mol. Phys., 30, 1345.

    Article  ADS  Google Scholar 

  54. Priest, R.G. (1975) Solid State Comm., 17, 519.

    Article  ADS  Google Scholar 

  55. Remler, D.K. and Haymet, A.D.J. (1986) J. Phys. Chem., 90, 5426.

    Article  Google Scholar 

  56. Shih, C.S. and Alben, R. (1972) J. Chem. Phys., 57, 3055.

    Article  ADS  Google Scholar 

  57. Gramsbergen, E.F., Longa, L. and de Jeu, W.H. (1986) Phys. Reports, 135, 195.

    Article  ADS  Google Scholar 

  58. Mulder, B.M. (1986) Liq. Cryst., 1, 539.

    Article  Google Scholar 

  59. Holyst, R. and Ponierewski, A. (1990) Mol. Phys., 69, 193.

    Article  ADS  Google Scholar 

  60. Biscarini, F., Chiccoli, C., Pasini, P., Semeria, F., and Zannoni, C. (1995) Phys. Rev. Lett., 75, 1803.

    Article  ADS  Google Scholar 

  61. Allen, M.P. (1990) Liq. Cryst., 8, 499.

    Article  Google Scholar 

  62. Chiccoli, C., Pasini, P., Semeria, F., and Zannoni, C. (1999) Int. J. Mod. Phys. C, 10, 469.

    Article  ADS  Google Scholar 

  63. Ferrarini A., Nordio P.L., Spolaore E. and Luckhurst G.R., (1995) J. Chem. Soc. Faraday Trans., 91, 3177.

    Article  Google Scholar 

  64. Longa L., Stelzer J. and Dunmur D., (1998), J. Chem. Phys., 109, 1555.

    Article  ADS  Google Scholar 

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Pasini, P., Chiccoli, C., Zannoni, C. (2000). Liquid Crystal Lattice Models I. Bulk Systems. In: Pasini, P., Zannoni, C. (eds) Advances in the Computer Simulatons of Liquid Crystals. NATO Science Series, vol 545. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4225-0_5

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  • DOI: https://doi.org/10.1007/978-94-011-4225-0_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6099-5

  • Online ISBN: 978-94-011-4225-0

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