Pressure and isotropic-nematic transition temperature of model liquid crystals

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

Volumn 54, Issue 10-11, 1999, Pages 559-569

  Hess, Siegfried ^a   Bin, Su ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Equation of State; Interaction Potential; Nematic Liquid Crystal

Indexed keywords

EID: 0039529010     PISSN: 09320784     EISSN: None     Source Type: Journal    
DOI: 10.1515/zna-1999-10-1101     Document Type: Article

References (63)

1. S. Hess, Physica A 267, 58 (1999).
2. J. D. Weeks, D. Chandler, and H. C. Andersen, J. Chem. Phys. 54, 5237 (1971).
3. S. Hess, M. Kröger, and H. Voigt, Physica A 250, 58 (1998).
4. F. Carnahan and K. E. Starling, J. Chem. Phys. 51, 635 (1969).
5. L. Onsager, Phys.Rev. 62, 558 (1942); Ann. N. Y. Acad. Sci. 51, 627 (1949).
6. L. Onsager, Phys.Rev. 62, 558 (1942); Ann. N. Y. Acad. Sci. 51, 627 (1949).
7. M. A. Cotter, J. Chem. Phys. 67, 4268 (1976).
8. A. Stroobants, H. N. W. Lekkerkerker, and D. Frenkel, Phys. Rev. Lett. 57, 1452 (1986); Phys. Rev. A 36, 2929 (1987).
9. A. Stroobants, H. N. W. Lekkerkerker, and D. Frenkel, Phys. Rev. Lett. 57, 1452 (1986); Phys. Rev. A 36, 2929 (1987).
10. D. Baalss and S. Hess, Phys. Rev. Lett. 57, 86 (1986); Z. Naturforsch. 43 a, 662 (1988).
11. D. Baalss and S. Hess, Phys. Rev. Lett. 57, 86 (1986); Z. Naturforsch. 43 a, 662 (1988).
12. D. Frenkel, J. Chem. Phys. 43, 4334 1991; J. A. C. Veerman and D. Frenkel Phys. Rev. A 41, 3237 (1990); Phys. Rev. A 41, 3237 (1990).
13. D. Frenkel, J. Chem. Phys. 43, 4334 1991; J. A. C. Veerman and D. Frenkel Phys. Rev. A 41, 3237 (1990); Phys. Rev. A 41, 3237 (1990).
14. D. Frenkel, J. Chem. Phys. 43, 4334 1991; J. A. C. Veerman and D. Frenkel Phys. Rev. A 41, 3237 (1990); Phys. Rev. A 41, 3237 (1990).
15. S. Hess, D. Frenkel, and M. P. Allen, Mol. Phys. 74, 765 (1991).
16. S. C. McGrother, D. C. Williamson, and G. Jackson, J. Chem. Phys. 104, 6755 (1996).
17. J. B. Gay and B. J. Berne, J.Chem.Phys. 74, 3316 (1981).
18. D. J. Adams, G. R. Luckhurst, and R. W. Phippen, Mol. Phys. 61, 1575 (1987); E. de Miguel, L. F. Rull, M. K. Chalam, and K. E. Gubbins, Mol. Phys. 71, 1223 (1991); 72, 593 (1991); 74, 405 (1991); E. de Miguel, E. Martin del Rio, J. T. Brown, and M. P. Allen, J. Chem. Phys. 105, 4234 (1996); E. de Miguel and E. Martin del Rio, Phys. Rev. E 55, 2916 (1997).
19. D. J. Adams, G. R. Luckhurst, and R. W. Phippen, Mol. Phys. 61, 1575 (1987); E. de Miguel, L. F. Rull, M. K. Chalam, and K. E. Gubbins, Mol. Phys. 71, 1223 (1991); 72, 593 (1991); 74, 405 (1991); E. de Miguel, E. Martin del Rio, J. T. Brown, and M. P. Allen, J. Chem. Phys. 105, 4234 (1996); E. de Miguel and E. Martin del Rio, Phys. Rev. E 55, 2916 (1997).
20. D. J. Adams, G. R. Luckhurst, and R. W. Phippen, Mol. Phys. 61, 1575 (1987); E. de Miguel, L. F. Rull, M. K. Chalam, and K. E. Gubbins, Mol. Phys. 71, 1223 (1991); 72, 593 (1991); 74, 405 (1991); E. de Miguel, E. Martin del Rio, J. T. Brown, and M. P. Allen, J. Chem. Phys. 105, 4234 (1996); E. de Miguel and E. Martin del Rio, Phys. Rev. E 55, 2916 (1997).
21. D. J. Adams, G. R. Luckhurst, and R. W. Phippen, Mol. Phys. 61, 1575 (1987); E. de Miguel, L. F. Rull, M. K. Chalam, and K. E. Gubbins, Mol. Phys. 71, 1223 (1991); 72, 593 (1991); 74, 405 (1991); E. de Miguel, E. Martin del Rio, J. T. Brown, and M. P. Allen, J. Chem. Phys. 105, 4234 (1996); E. de Miguel and E. Martin del Rio, Phys. Rev. E 55, 2916 (1997).
22. D. J. Adams, G. R. Luckhurst, and R. W. Phippen, Mol. Phys. 61, 1575 (1987); E. de Miguel, L. F. Rull, M. K. Chalam, and K. E. Gubbins, Mol. Phys. 71, 1223 (1991); 72, 593 (1991); 74, 405 (1991); E. de Miguel, E. Martin del Rio, J. T. Brown, and M. P. Allen, J. Chem. Phys. 105, 4234 (1996); E. de Miguel and E. Martin del Rio, Phys. Rev. E 55, 2916 (1997).
23. D. J. Adams, G. R. Luckhurst, and R. W. Phippen, Mol. Phys. 61, 1575 (1987); E. de Miguel, L. F. Rull, M. K. Chalam, and K. E. Gubbins, Mol. Phys. 71, 1223 (1991); 72, 593 (1991); 74, 405 (1991); E. de Miguel, E. Martin del Rio, J. T. Brown, and M. P. Allen, J. Chem. Phys. 105, 4234 (1996); E. de Miguel and E. Martin del Rio, Phys. Rev. E 55, 2916 (1997).
24. T. Gruhn and M. Schoen, Phys. Rev. E 55, 2861 (1997); Mol. Phys. 93, 681 (1998); J. Chem. Phys. 108, 9124 (1998).
25. T. Gruhn and M. Schoen, Phys. Rev. E 55, 2861 (1997); Mol. Phys. 93, 681 (1998); J. Chem. Phys. 108, 9124 (1998).
26. T. Gruhn and M. Schoen, Phys. Rev. E 55, 2861 (1997); Mol. Phys. 93, 681 (1998); J. Chem. Phys. 108, 9124 (1998).
27. S. Hess, M. Kröger, W. Loose, C. Pereira Borgmeyer, R. Schramek, H. Voigt, and T. Weider, Simple and Complex Fluids under Shear, in: Monte Carlo and Molecular Dynamics of Condensed Matter Systems eds. K. Binder and G. Ciccotti, IPS Conf. Proc. 49, Bologna 1996, p. 825-841.
28. P. A. Lebwohl and G. Lasher, Phys. Rev. A 5, 1350 (1972); G. Lasher, Phys. Rev. A 6, 426 (1972).
29. P. A. Lebwohl and G. Lasher, Phys. Rev. A 5, 1350 (1972); G. Lasher, Phys. Rev. A 6, 426 (1972).
30. T. Gruhn and S. Hess, Z.Naturforsch. 51 a, 1 (1996).
31. S. Romano, Int. J. Mod. Phys. B 12, 2305 (1998); G. R. Luckhurst and S. Romano, Liq. Cryst. 26, 871 (1999).
32. S. Romano, Int. J. Mod. Phys. B 12, 2305 (1998); G. R. Luckhurst and S. Romano, Liq. Cryst. 26, 871 (1999).
33. W. G. Hoover Molecular Dynamics, Springer, Berlin 1986; Computational Statistical Mechanics, Elsevier, Amsterdam 1991; Physica A 194, 450 (1993).
34. W. G. Hoover Molecular Dynamics, Springer, Berlin 1986; Computational Statistical Mechanics, Elsevier, Amsterdam 1991; Physica A 194, 450 (1993).
35. W. G. Hoover Molecular Dynamics, Springer, Berlin 1986; Computational Statistical Mechanics, Elsevier, Amsterdam 1991; Physica A 194, 450 (1993).
36. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids, Clarendon, Oxford 1987.
37. D. J. Evans and G. P. Morris, Statistical Mechanics of Nonequilibrium Liquids, Academic Press, London 1990.
38. S. Hess and W. Loose, Molecular Dynamics: Test of Microscopic Models for the Material Properties of Matter, in: Constitutive laws and microstructure, eds. D. Axelrad and W. Muschik. Springer, Berlin 1988, p. 92; S. Hess, D. Baalss, O. Hess, W. Loose, J. F. Schwarzl, U. Stottut, and T. Weider in: Continuum models and discrete systems, ed. G. A. Maugin, Longman, Essex 1990, vol. 1, p. 18-30; T. Weider, U. Stottut, W. Loose, and S. Hess, Physica A 174, 1 (1991).
39. S. Hess and W. Loose, Molecular Dynamics: Test of Microscopic Models for the Material Properties of Matter, in: Constitutive laws and microstructure, eds. D. Axelrad and W. Muschik. Springer, Berlin 1988, p. 92; S. Hess, D. Baalss, O. Hess, W. Loose, J. F. Schwarzl, U. Stottut, and T. Weider in: Continuum models and discrete systems, ed. G. A. Maugin, Longman, Essex 1990, vol. 1, p. 18-30; T. Weider, U. Stottut, W. Loose, and S. Hess, Physica A 174, 1 (1991).
40. S. Hess and W. Loose, Molecular Dynamics: Test of Microscopic Models for the Material Properties of Matter, in: Constitutive laws and microstructure, eds. D. Axelrad and W. Muschik. Springer, Berlin 1988, p. 92; S. Hess, D. Baalss, O. Hess, W. Loose, J. F. Schwarzl, U. Stottut, and T. Weider in: Continuum models and discrete systems, ed. G. A. Maugin, Longman, Essex 1990, vol. 1, p. 18-30; T. Weider, U. Stottut, W. Loose, and S. Hess, Physica A 174, 1 (1991).
41. S. Hess, Rheology and shear induced structure of fluids in: Rheological Modelling: Thermodynamical and Statistical Approaches, eds. J. Casas-Vázques and D. Jou, Lecture Notes in Physics 381, Springer, Berlin 1991, p. 51-73; Physikal. Blätter 44, 325 (1988).
42. S. Hess, Rheology and shear induced structure of fluids in: Rheological Modelling: Thermodynamical and Statistical Approaches, eds. J. Casas-Vázques and D. Jou, Lecture Notes in Physics 381, Springer, Berlin 1991, p. 51-73; Physikal. Blätter 44, 325 (1988).
43. S. Hess, Constraints in Molecular Dynamics, Nonequilibrium Processes in Fluids via Computer Simulations, in: Computational Physics, eds. K. H. Hoffmann and M. Schreiber, Springer, Berlin 1996, p. 268-293.
44. R. Haberlandt, S. Fritzsche, G. Peinel und K. Heinzinger, Molekular-Dynamik, Vieweg, Braunschweig 1995.
45. A. J. Stone, Mol. Phys. 36, 241 (1978).
46. S. Hess and L. Waldmann, Z.Naturforsch. 21 a, 1529 (1966).; S. Hess and W. E. Köhler, Z.Naturforsch. 23 a, 1903 (1968).
47. S. Hess and L. Waldmann, Z.Naturforsch. 21 a, 1529 (1966).; S. Hess and W. E. Köhler, Z.Naturforsch. 23 a, 1903 (1968).
48. I. Pardowitz and S. Hess, Physica A 100, 540 (1980).
49. I. Pardowitz and S. Hess, J. Chem. Phys. 76, 1485 (1982); M. Osipov and S. Hess, Mol. Phys. 78, 1191 (1993).
50. I. Pardowitz and S. Hess, J. Chem. Phys. 76, 1485 (1982); M. Osipov and S. Hess, Mol. Phys. 78, 1191 (1993).
51. H. Ehrentraut and W. Muschik, ARI 51, 149 (1998).
52. W. Maier and A. Saupe, Z. Naturforsch. 14 a, 882 (1959); 15 a, 287 (1960).
53. W. Maier and A. Saupe, Z. Naturforsch. 14 a, 882 (1959); 15 a, 287 (1960).
54. C. Pereira Borgmeyer, Zur Theorie der Strömungs-ausrichtung und Anisotropie der Viskosität in Flüssigkristallen, Diplomarbeit, TU-Berlin 1995.
55. L. Bennett, A theoretical investigation of the nonequilibrium properties of liquid crystal, PhD-thesis, TU-Berlin 1998; W&T Verlag, Berlin 1999.
56. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids, (Academic Press, London 1986).
57. J. A. Barker and D. Henderson, J. Chem. Phys. 47, 4714 (1967).
58. J. A. Barker, J. Chem. Phys. 19, 1430 (1951); J. A. Pople, Proc. Roy. Soc. A 215, 67 (1952); A 219, 367 (1953); A 221, 498, 508 (1954).
59. J. A. Barker, J. Chem. Phys. 19, 1430 (1951); J. A. Pople, Proc. Roy. Soc. A 215, 67 (1952); A 219, 367 (1953); A 221, 498, 508 (1954).
60. J. A. Barker, J. Chem. Phys. 19, 1430 (1951); J. A. Pople, Proc. Roy. Soc. A 215, 67 (1952); A 219, 367 (1953); A 221, 498, 508 (1954).
61. J. A. Barker, J. Chem. Phys. 19, 1430 (1951); J. A. Pople, Proc. Roy. Soc. A 215, 67 (1952); A 219, 367 (1953); A 221, 498, 508 (1954).
62. C. G. Gray and K. E. Gubbins, Theory of molecular fluids, vol. 1, Fundamentals, Clarendon Press, Oxford 1984.
63. M. A. Osipov and S. Hess, J. Chem. Phys. 99, 4181 (1993).