Structure and stability of isotropic states of hard platelet fluids

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

Volumn 78, Issue 4, 2008, Pages

  Cheung, David L ^a,f   Anton, Lucian ^b,c,g   Allen, Michael P ^a   Masters, Andrew J ^b   Phillips, Jonathan ^d   Schmidt, Matthias ^d,e  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

^c NATIONAL INSTITUTE FOR LASER   (Romania)

^d UNIVERSITY OF BRISTOL   (United Kingdom)

^e UNIVERSITY OF BAYREUTH   (Germany)

^f UNIVERSITY OF WARWICK   (United Kingdom)

^g Numerical Algorithms Group   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; INTELLIGENT SYSTEMS; MONTE CARLO METHODS; PLATELETS; THERMODYNAMICS;

ANALYTIC EXPRESSIONS; DENSITY FUNCTIONALS; DIRECT CORRELATION FUNCTIONS; EXTENDED VERSIONS; HYPERNETTED-CHAIN CLOSURE; INTEGRAL-EQUATION THEORY; NON-MONOTONIC VARIATION; STABILITY ANALYSIS;

DENSITY FUNCTIONAL THEORY;

EID: 54149109758     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.041201     Document Type: Article

References (78)

1. C. G. Gray and K. E. Gubbins, Theory of Molecular Fluids. 1. Fundamentals (Clarendon Press, Oxford, 1984).
2. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids, 3rd ed. (Academic Press, London, 2006).
3. F. J. Rogers and D. A. Young, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.999 30, 999 (1984).
4. S. Rast, P. H. Fries, and H. Krienke, Mol. Phys. MOPHAM 0026-8976 10.1080/002689799164487 96, 1543 (1999).
5. J. M. Brader, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2889926 128, 104503 (2008).
6. A. Perera, P. G. Kusalik, and G. N. Patey, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.453313 87, 1295 (1987).
7. A. Perera and G. N. Patey, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.455537 89, 5861 (1988).
8. A. Chamoux and A. Perera, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.476172 108, 8172 (1998).
9. P. H. Fries and G. N. Patey, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.448764 82, 429 (1985).
10. A. Perera, P. G. Kusalik, and G. N. Patey, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.455752 89, 5969 (1988).
11. M. Letz and A. Latz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60. 5865 60, 5865 (1999).
12. R. C. Singh, J. Ram, and Y. Singh, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.977 54, 977 (1996).
13. S. Labík, A. Malijevský, and W. R. Smith, Mol. Phys. MOPHAM 0026-8976 10.1080/00268979100101081 73, 87 (1991).
14. S. Labík, A. Malijevský, and W. R. Smith, Mol. Phys. MOPHAM 0026-8976 10.1080/00268979100101341 73, 495 (1991).
15. R. Pospíšil, A. Malijevský, S. Labík, and W. R. Smith, Mol. Phys. MOPHAM 0026-8976 74, 253 (1991).
16. S. Labík, A. Malijevský, R. Pospíšil, and W. R. Smith, Mol. Phys. MOPHAM 0026-8976 74, 261 (1991).
17. R. Pospíšil, A. Malijevský, and W. R. Smith, Mol. Phys. MOPHAM 0026-8976 10.1080/00268979300101791 79, 1011 (1993).
18. M. P. Allen, C. P. Mason, E. de Miguel, and J. Stelzer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.R25 52, R25 (1995).
19. N. H. Phuong, G. Germano, and F. Schmid, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1404388 115, 7227 (2001).
20. E. Lomba, M. Lombardero, and J. L. F. Abascal, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.456212 90, 7330 (1989).
21. D. L. Cheung, L. Anton, M. P. Allen, and A. J. Masters, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.041201 76, 041201 (2007).
22. D. L. Cheung, L. Anton, M. P. Allen, and A. J. Masters, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.77.011202 77, 011202 (2008).
23. D. L. Cheung, L. Anton, M. P. Allen, and A. J. Masters, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.061204 73, 061204 (2006).
24. D. Frenkel and R. Eppenga, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.1089 49, 1089 (1982).
25. R. Eppenga and D. Frenkel, Mol. Phys. MOPHAM 0026-8976 10.1080/00268978400101951 52, 1303 (1984).
26. M. A. Bates, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.479433 111, 1732 (1999).
27. S. Chandrasekhar and G. S. Ranganath, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/53/1/002 53, 57 (1990).
28. S. Kumar, Liq. Cryst. LICRE6 0267-8292 10.1080/02678290410001724746 31, 1037 (2004).
29. R. J. Bushby and O. R. Lozman, Curr. Opin. Colloid Interface Sci. COCSFL 1359-0294 10.1016/S1359-0294(02)00085-7 7, 343 (2002).
30. F. M. van der Kooij, K. Kassapidou, and H. N. W. Lekkerkerker, Nature (London) NATUAS 0028-0836 10.1038/35022535 406, 868 (2000).
31. F. M. van der Kooij, D. van der Beek, and H. N. W. Lekkerkerker, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp0031597 105, 1696 (2001).
32. D. van der Beek, T. Schilling, and H. N. W. Lekkerkerker, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1783231 121, 5423 (2004).
33. D. van der Beek, A. V. Petukhov, S. M. Oversteegen, G. J. Vroege, and H. N. W. Lekkerkerker, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2004-10080-6 16, 253 (2005).
34. S. D. Zhang, P. A. Reynolds, and J. S. van Duijneveldt, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1518007 117, 9947 (2002).
35. S. D. Zhang, P. A. Reynolds, and J. S. van Duijneveldt, Mol. Phys. MOPHAM 0026-8976 10.1080/00268970210130146 100, 3041 (2002).
36. D. van der Beek, H. Reich, P. van der Schoot, M. Dijkstra, T. Schilling, R. Vink, M. Schmidt, R. van Roij, and H. N. W. Lekkerkerker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.087801 97, 087801 (2006).
37. A. Chrzanowska, P. I. C. Teixeira, H. Ehrentraut, and D. J. Cleaver, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/13/21/306 13, 4715 (2001).
38. P. I. C. Teixeira, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.2876 55, 2876 (1997).
39. D. J. Cleaver and P. I. C. Teixeira, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(01)00232-9 338, 1 (2001).
40. P. I. C. Teixeira, A. Chrzanowska, G. D. Wall, and D. J. Cleaver, Mol. Phys. MOPHAM 0026-8976 10.1080/00268970010017027 99, 889 (2001).
41. P. I. C. Teixeira, F. Barmes, and D. J. Cleaver, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/19/009 16, S1969 (2004).
42. R. Evans, Adv. Phys. ADPHAH 0001-8732 10.1080/00018737900101365 28, 143 (1979).
43. L. Onsager, Ann. N.Y. Acad. Sci. ANYAA9 0077-8923 10.1111/j.1749-6632. 1949.tb27296.x 51, 627 (1949).
44. J. M. Brader, A. Esztermann, and M. Schmidt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.031401 66, 031401 (2002).
45. A. Esztermann, H. Reich, and M. Schmidt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.011409 73, 011409 (2006).
46. H. Reich, M. Dijkstra, R. van Roij, and M. Schmidt, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp068870b 111, 7825 (2007).
47. H. Reich and M. Schmidt, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/19/32/326103 19, 326103 (2007).
48. L. Verlet, Mol. Phys. MOPHAM 0026-8976 10.1080/00268978000102671 41, 183 (1980).
49. D. Henderson, K. Y. Chan, and L. Degrève, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.468324 101, 6975 (1994).
50. D. Henderson, A. Malijevský, S. Labík, and K. Y. Chan, Mol. Phys. MOPHAM 0026-8976 10.1080/00268979650027441 87, 273 (1996).
51. L. Blum and A. J. Torruella, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1676864 56, 303 (1972).
52. J. Talbot, A. Perera, and G. N. Patey, Mol. Phys. MOPHAM 0026-8976 10.1080/00268979000101001 70, 285 (1990).
53. M. Pernice and H. F. Walker, SIAM J. Sci. Comput. (USA) SJOCE3 1064-8275 10.1137/S1064827596303843 19, 302 (1998).
54. F. H. Ree and W. G. Hoover, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1725286 40, 939 (1964).
55. F. H. Ree and W. G. Hoover, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1840521 46, 4181 (1967).
56. W. B. Streett and D. J. Tildesley, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 348, 485 (1976).
57. G. M. Torrie and G. N. Patey, Mol. Phys. MOPHAM 0026-8976 10.1080/00268977700102821 34, 1623 (1977).
58. F. G. Wang and D. P. Landau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2050 86, 2050 (2001).
59. F. G. Wang and D. P. Landau, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.056101 64, 056101 (2001).
60. J. R. Henderson, Mol. Phys. MOPHAM 0026-8976 10.1080/00268978300102661 50, 741 (1983).
61. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon Press, Oxford, 1987).
62. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in Fortran, 2nd ed. (Cambridge University Press, Cambridge, England, 1992).
63. Y. Rosenfeld, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63. 980 63, 980 (1989).
64. Y. Rosenfeld, M. Schmidt, H. Löwen, and P. Tarazona, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.4245 55, 4245 (1997).
65. Y. Rosenfeld, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.R3318 50, R3318 (1994).
66. Y. Rosenfeld, Mol. Phys. MOPHAM 0026-8976 10.1080/00268979500102241 86, 637 (1995).
67. G. Cinacchi and F. Schmid, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/46/323 14, 12223 (2002).
68. H. Hansen-Goos and K. R. Mecke (unpublished).
69. J. Herzfeld, A. Berger, and J. Wingate, Macromolecules MAMOBX 0024-9297 10.1021/ma00139a014 17, 1718 (1984).
70. R. van Roij, Eur. Phys. J. E EPJSFH 1292-8941 26, S57 (2005).
71. R. F. Kayser and H. J. Raveché, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.17.2067 17, 2067 (1978).
72. B. Mulder, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.360 39, 360 (1989).
73. J. Stecki and A. Kloczkowski, J. Phys. (Paris) JOPQAG 0302-0738 40, 360 (1979).
74. J. Stecki and A. Kloczkowski, Mol. Phys. MOPHAM 0026-8976 10.1080/00268978100100041 42, 51 (1981).
75. D.-M. Duh and A. D. J. Haymet, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.463491 97, 7716 (1992).
76. R. Evans, J. R. Henderson, D. C. Hoyle, A. O. Parry, and Z. A. Sabeur, Mol. Phys. MOPHAM 0026-8976 10.1080/00268979300102621 80, 755 (1993).
77. R. Evans, R. de Carvalho, J. Henderson, and D. Hoyle, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.466920 100, 591 (1994).
78. S. V. Savenko and M. Dijkstra, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.021202 72, 021202 (2005).