Elasticity of nematic phases with fundamental measure theory

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

Volumn 91, Issue 5, 2015, Pages

  Wittmann, René ^a   Marechal, Matthieu ^a   Mecke, Klaus ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF STATE;

ANALYTICAL FORMULAS; DENSITY FUNCTIONALS; DIRECT CORRELATION FUNCTIONS; EMPIRICAL PARAMETERS; FUNDAMENTAL MEASURE THEORIES; ORIENTATIONAL ORDERINGS; SERIES REPRESENTATIONS; SPHEROCYLINDER FLUIDS;

GEOMETRY;

EID: 84929191287     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.91.052501     Document Type: Article

References (74)

1. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1993).
2. J. P. F. Lagerwall and G. Scalia, Curr. Appl. Phys. 12, 1387 (2012). 1567-1739 10.1016/j.cap.2012.03.019
3. H. Kawamoto, Proc. IEEE 90, 460 (2002). IEEPAD 0018-9219 10.1109/JPROC.2002.1002521
4. F. C. Frank, Discuss. Faraday Soc. 25, 19 (1958). 0366-9033 10.1039/df9582500019
5. R. B. Meyer, F. Lonberg, V. Taratuta, S. Fraden, S.-D. Lee, and A. J. Hurd, Faraday Discuss. Chem. Soc. 79, 125 (1985). FDCSB7 0301-7249 10.1039/dc9857900125
6. A. J. Hurd, S. Fraden, F. Lonberg, and R. B. Meyer, J. Phys. (Paris) 46, 905 (1985). JOPQAG 0302-0738 10.1051/jphys:01985004606090500
7. D. van der Beek, P. Davidson, H. H. Wensink, G. J. Vroege, and H. N. W. Lekkerkerker, Phys. Rev. E 77, 031708 (2008). PLEEE8 1539-3755 10.1103/PhysRevE.77.031708
8. A. A. Verhoeff, R. H. J. Otten, P. van der Schoot, and H. N. W. Lekkerkerker, J. Phys. Chem. B 113, 3704 (2009). JPCBFK 1520-6106 10.1021/jp8068199
9. L. Onsager, Ann. NY Acad. Sci. 51, 627 (1949). ANYAA9 0077-8923 10.1111/j.1749-6632.1949.tb27296.x
10. L. Mederos, E. Velasco, and Y. Martínez-Ratón, J. Phys.: Condens. Matter 26, 463101 (2014). JCOMEL 0953-8984 10.1088/0953-8984/26/46/463101
11. J. P. Straley, Phys. Rev. A 8, 2181 (1973). 0556-2791 10.1103/PhysRevA.8.2181
12. S.-D. Lee and R. B. Meyer, J. Chem. Phys. 84, 3443 (1986). JCPSA6 0021-9606 10.1063/1.450228
13. R. G. Priest, Phys. Rev. A 7, 720 (1973). 0556-2791 10.1103/PhysRevA.7.720
14. P. G. de Gennes, Mol. Cryst. Liq. Cryst. (1969-1991) 12, 193 (1971). MCLCA5 0026-8941 10.1080/15421407108082773
15. M. Kröger and P. Ilg, J. Chem. Phys. 127, 034903 (2007). JCPSA6 0021-9606 10.1063/1.2743961
16. R. Evans, Adv. Phys. 28, 143 (1979). ADPHAH 0001-8732 10.1080/00018737900101365
17. A. Poniewierski and J. Stecki, Mol. Phys. 38, 1931 (1979). MOPHAM 0026-8976 10.1080/00268977900102951
18. J. Stecki and A. Poniewierski, Mol. Phys. 41, 1451 (1980). MOPHAM 0026-8976 10.1080/00268978000103651
19. J. D. Parsons, Phys. Rev. A 19, 1225 (1979). 0556-2791 10.1103/PhysRevA.19.1225
20. N. F. Carnahan and K. E. Starling, J. Chem. Phys. 51, 635 (1969). JCPSA6 0021-9606 10.1063/1.1672048
21. S.-D. Lee, Phys. Rev. A 39, 3631 (1989). 0556-2791 10.1103/PhysRevA.39.3631
22. A. M. Somoza and P. Tarazona, Phys. Rev. A 40, 6069 (1989). 0556-2791 10.1103/PhysRevA.40.6069
23. A. M. Somoza and P. Tarazona, Mol. Phys. 72, 911 (1991). MOPHAM 0026-8976 10.1080/00268979100100641
24. A. Poniewierski and R. Hołyst, Phys. Rev. A 41, 6871 (1990). PLRAAN 1050-2947 10.1103/PhysRevA.41.6871
25. A. Avazpour and M. Moradi, Physica B 392, 242 (2007). PHYBE3 0921-4526 10.1016/j.physb.2006.11.028
26. R. Pynn, J. Chem. Phys. 60, 4579 (1974). JCPSA6 0021-9606 10.1063/1.1680941
27. M. Baus, J.-L. Colot, X.-G. Wu, and H. Xu, Phys. Rev. Lett. 59, 2184 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.59.2184
28. J. F. Marko, Phys. Rev. A 39, 2050 (1989). 0556-2791 10.1103/PhysRevA.39.2050
29. A. Avazpour, V. Mahdavi, and L. Avazpour, Phys. Rev. E 82, 041701 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.82.041701
30. Y. Singh and K. Singh, Phys. Rev. A 33, 3481 (1986). 0556-2791 10.1103/PhysRevA.33.3481
31. Y. Singh, S. Singh, and K. Rajesh, Phys. Rev. A 45, 974 (1992). PLRAAN 1050-2947 10.1103/PhysRevA.45.974
32. A. Srivastava and S. Singh, J. Phys.: Condens. Matter 16, 7169 (2004). JCOMEL 0953-8984 10.1088/0953-8984/16/41/001
33. M. P. Allen and D. Frenkel, Phys. Rev. A 37, 1813 (1988) 0556-2791 10.1103/PhysRevA.37.1813;
34. M. P. Allen and D. Frenkel, Phys. Rev. A 42, 3641 (E) (1990). 0556-2791 10.1103/PhysRevA.42.3641
35. E. Fischermeier, D. Bartuschat, T. Preclik, M. Marechal, and K. Mecke, Comput. Phys. Commun. 185, 3156 (2014). CPHCBZ 0010-4655 10.1016/j.cpc.2014.08.014
36. B. Tjipto-Margo, G. T. Evans, M. P. Allen, and D. Frenkel, J. Phys. Chem. 96, 3942 (1992). JPCHAX 0022-3654 10.1021/j100189a007
37. N. H. Phuong, G. Germano, and F. Schmid, J. Chem. Phys. 115, 7227 (2001). JCPSA6 0021-9606 10.1063/1.1404388
38. P. A. O'Brien, M. P. Allen, D. L. Cheung, M. Dennison, and A. Masters, Phys. Rev. E 78, 051705 (2008). PLEEE8 1539-3755 10.1103/PhysRevE.78.051705
39. N. H. Phuong, G. Germano, and F. Schmid, Comput. Phys. Commun. 147, 350 (2002). CPHCBZ 0010-4655 10.1016/S0010-4655(02)00302-8
40. Y. Rosenfeld, Phys. Rev. Lett. 63, 980 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.63.980
41. J. K. Percus and G. J. Yevick, Phys. Rev. 110, 1 (1958). PHRVAO 0031-899X 10.1103/PhysRev.110.1
42. J. L. Lebowitz, Phys. Rev. 133, A895 (1964). PHRVAO 0031-899X 10.1103/PhysRev.133.A895
43. R. Roth, R. Evans, A. Lang, and G. Kahl, J. Phys.: Condens. Matter 14, 12063 (2002). JCOMEL 0953-8984 10.1088/0953-8984/14/46/313
44. H. Hansen-Goos and R. Roth, J. Phys.: Condens. Matter 18, 8413 (2006). JCOMEL 0953-8984 10.1088/0953-8984/18/37/002
45. Y. Rosenfeld, Phys. Rev. E 50, R3318 (1994). 1063-651X 10.1103/PhysRevE.50.R3318
46. Y. Rosenfeld, Mol. Phys. 86, 637 (1995). MOPHAM 0026-8976 10.1080/00268979500102241
47. H. Hansen-Goos and K. Mecke, Phys. Rev. Lett. 102, 018302 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.018302
48. H. Hansen-Goos and K. Mecke, J. Phys.: Condens. Matter 22, 364107 (2010). JCOMEL 0953-8984 10.1088/0953-8984/22/36/364107
49. M. Marechal, H. H. Goetzke, A. Härtel, and H. Löwen, J. Chem. Phys. 135, 234510 (2011). JCPSA6 0021-9606 10.1063/1.3664742
50. R. Wittmann and K. Mecke, J. Chem. Phys. 140, 104703 (2014). JCPSA6 0021-9606 10.1063/1.4867277
51. M. Marechal and H. Löwen, Phys. Rev. Lett. 110, 137801 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.137801
52. R. Wittmann, M. Marechal, and K. Mecke, J. Chem. Phys. 141, 064103 (2014). JCPSA6 0021-9606 10.1063/1.4891326
53. A. Esztermann, H. Reich, and M. Schmidt, Phys. Rev. E 73, 011409 (2006). PLEEE8 1539-3755 10.1103/PhysRevE.73.011409
54. Y. Martínez-Ratón, J. A. Capitán, and J. A. Cuesta, Phys. Rev. E 77, 051205 (2008). PLEEE8 1539-3755 10.1103/PhysRevE.77.051205
55. J. A. Capitán, Y. Martínez-Ratón, and J. A. Cuesta, J. Chem. Phys. 128, 194901 (2008). JCPSA6 0021-9606 10.1063/1.2920481
56. Y. Rosenfeld, M. Schmidt, H. Löwen, and P. Tarazona, J. Phys.: Condens. Matter 8, L577 (1996). JCOMEL 0953-8984 10.1088/0953-8984/8/40/002
57. Y. Rosenfeld, M. Schmidt, H. Löwen, and P. Tarazona, Phys. Rev. E 55, 4245 (1997). 1063-651X 10.1103/PhysRevE.55.4245
58. P. Tarazona and Y. Rosenfeld, Phys. Rev. E 55, R4873 (1997). 1063-651X 10.1103/PhysRevE.55.R4873
59. P. Tarazona, Phys. Rev. Lett. 84, 694 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.694
60. R. Wittmann, M. Marechal, and K. Mecke, Europhys. Lett. 109, 26003 (2015). EULEEJ 0295-5075 10.1209/0295-5075/109/26003
61. R. Schneider and W. Weil, Stochastic and integral geometry (Springer, Berlin, 2008).
62. K. R. Mecke, Lect. Notes Phys. 554, 111 (2000). 9783-5406 10.1007/3-540-45043-2-6
63. H. Hadwiger, Vorlesungen über Inhalt, Oberfläche und Isoperimetrie (Springer, Heidelberg, 1957).
64. R. M. Gibbons, Mol. Phys. 17, 81 (1969). MOPHAM 0026-8976 10.1080/00268976900100811
65. D. Hug (private communication).
66. M. S. Wertheim, Mol. Phys. 83, 519 (1994). MOPHAM 0026-8976 10.1080/00268979400101401
67. G. E. Schröder-Turk, W. Mickel, S. C. Kapfer, F. M. Schaller, B. Breidenbach, D. Hug, and K. Mecke, New J. Phys. 15, 083028 (2013). NJOPFM 1367-2630 10.1088/1367-2630/15/8/083028
68. H. Reiss, H. L. Frisch, E. Helfand, and J. L. Lebowitz, J. Chem. Phys. 32, 119 (1960). JCPSA6 0021-9606 10.1063/1.1700883
69. S. Korden, Phys. Rev. E 85, 041150 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.85.041150
70. M. Marechal, S. Korden, and K. Mecke, Phys. Rev. E 90, 042131 (2014). PLEEE8 1539-3755 10.1103/PhysRevE.90.042131
71. S. C. McGrother, D. C. Williamson, and G. Jackson, J. Chem. Phys. 104, 6755 (1996). JCPSA6 0021-9606 10.1063/1.471343
72. P. Bolhuis and D. Frenkel, J. Chem. Phys. 106, 666 (1997). JCPSA6 0021-9606 10.1063/1.473404
73. A. Poniewierski, Phys. Rev. A 45, 5605 (1992). PLRAAN 1050-2947 10.1103/PhysRevA.45.5605
74. M. Marechal, U. Zimmermann, and H. Löwen, J. Chem. Phys. 136, 144506 (2012). JCPSA6 0021-9606 10.1063/1.3699086