Nematic-nematic phase separation in binary mixtures of thick and thin hard rods: Results from Onsager-like theories

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

Volumn 72, Issue 5, 2005, Pages

  Varga, Szabolcs ^a   Purdy, Kirstin ^b   Galindo, Amparo ^c   Fraden, Seth ^b   Jackson, George ^c  

^a UNIVERSITY OF PANNONIA   (Hungary)

^b BRANDEIS UNIVERSITY   (United States)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL POINT; GAUSSIAN APPROXIMATION; ONSAGER LIMIT; SPHEROCYLINDERS;

APPROXIMATION THEORY; BINARY MIXTURES; GAUSSIAN NOISE (ELECTRONIC); NEMATIC LIQUID CRYSTALS; PRESSURE EFFECTS;

PHASE SEPARATION;

EID: 28844501787     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.051704     Document Type: Article

References (57)

1. S. Chandrasekhar, Liquid Crystals, 2nd Ed. (Cambridge University Press, Cambridge, 1992).
2. L. Onsager, Ann. N.Y. Acad. Sci. ANYAA9 0077-8923 10.1103/PhysRev.62.558 51, 627 (1949).
3. P. J. Flory, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 234, 73 (1956).
4. D. Frenkel, H. N. W. Lekkerkerker, and A. Stroobants, Nature (London) NATUAS 0028-0836 10.1038/332822a0 332, 822 (1988).
5. J. Tang and S. Fraden, Liq. Cryst. LICRE6 0267-8292 19, 459 (1995).
6. T. Sato and A. Teramoto, Adv. Polym. Sci. APSIDK 0065-3195 126, 85 (1996).
7. M. P. B. van Bruggen, F. M. van der Kooij, and H. N. W. Lekkerkerker, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/8/47/044 8, 9451 (1996).
8. P. J. Flory and A. Abe, Macromolecules MAMOBX 0024-9297 10.1021/ma60066a011 11, 1119 (1978).
9. T. Itou and A. Teramoto, Macromolecules MAMOBX 0024-9297 10.1021/ma00137a023 17, 1419 (1984).
10. T. Itou and A. Teramoto, Polym. J. (Tokyo, Jpn.) POLJB8 0032-3896 16, 779 (1984).
11. P. A. Buining and H. N. W. Lekkerkerker, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100146a027 97, 11510 (1993).
12. G. Nouensis, S. Kumar, S. Pfieffer, R. Shashidhar, and C. W. Garland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.565 73, 565 (1994).
13. F. M. van der Kooij and H. N. W. Lekkerkerker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.781 84, 781 (2000).
14. F. M. van der Kooij and H. N. W. Lekkerkerker, Langmuir LANGD5 0743-7463 10.1021/la000875r 16, 10144 (2000).
15. K. R. Purdy, S. Varga, A. Galindo, G. Jackson, and S. Fraden, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.057801 94, 057801 (2005).
16. E. Grelet and S. Fraden, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.198302 90, 198302 (2003).
17. P. J. Camp and M. P. Allen, Physica A PHYADX 0378-4371 10.1016/0378-4371(96)00050-7 229, 410 (1996);
18. P. J. Camp, M. P. Allen, P. G. Bolhuis, and D. Frenkel, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.474012 106, 9270 (1997).
19. A. Galindo, G. Jackson, and D. Photinos, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(00)00702-8 325, 631 (2000).
20. A. Galindo, A. J. Haslam, S. Varga, G. Jackson, A. G. Vanakaras, D. J. Photinos, and D. A. Dunmar, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1598432 119, 5216 (2003).
21. X. Zhou, H. Chen, and M. Iwamoto, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1634954 120, 1832 (2004).
22. P. G. Bolhuis, A. Stroobants, D. Frenkel, and H. N. W. Lekkerkerker, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.474508 107, 1551 (1997).
23. M. Dijkstra and R. van Roij, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.5594 56, 5594 (1997).
24. M. Birshtein, B. I. Kogelov, and V. A. Pryamitsin, Vysokomol. Soedin., Ser. A VYSAAF 0507-5475 30, 348 (1988);
25. M. Birshtein, B. I. Kogelov, and V. A. Pryamitsin, [Polym. Sci. U.S.S.R. PYSCAN 0032-3950 10.1016/0032-3950(88)90125-6 30, 316 (1988)].
26. H. N. W. Lekkerkerker, Ph. Coulon, R. Van Der Haegen, and R. Deblieck, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.447098 80, 3427 (1984).
27. G. J. Vroege and H. N. W. Lekkerkerker, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100116a026 97, 3601 (1993).
28. R. van Roij and B. Mulder, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.473006 105, 11237 (1996);
29. R. van Roij and B. Mulder, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.476710 109, 1584 (E) (1998).
30. S. Varga and I. Szalai, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10.1039/b000310g 2, 1955 (2000).
31. P. C. Hemmer, Mol. Phys. MOPHAM 0026-8976 10.1080/002689799164676 96, 1153 (1999).
32. R. P. Sear and B. M. Mulder, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.473001 105, 7727 (1996).
33. R. van Roij and B. Mulder, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.6430 54, 6430 (1996).
34. R. van Roij, B. M. Mulder, and M. Dijkstra, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00429-4 261, 347 (1998).
35. A. Speranza and P. Sollich, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1499718 117, 5421 (2002).
36. S. Varga, A. Galindo, and G. Jackson, Mol. Phys. MOPHAM 0026-8976 10.1080/0026897021000037654 101, 817 (2003).
37. P. Palffy-Muhoray, A. J. Berlinsky, J. R. de Bruyn, and D. A. Dunmur, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(84)90367-0 104, 159 (1984).
38. P. Sollich, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1924604 122, 214911 (2005).
39. A. Speranza and P. Sollich, e-print cond-mat/0208401.
40. S. DuBois and A. Perera, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1458544 116, 6354 (2002).
41. A. Perera, J. Mol. Liq. JMLIDT 0167-7322 10.1016/j.molliq.2003.08.005 109, 73 (2004).
42. H. H. Wensink, G. J. Vroege, and H. N. W. Lekkerkerker, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp0105894 105, 10610 (2001).
43. S. Varga, A. Galindo, and G. Jackson, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1519536 117, 10412 (2002).
44. S. Varga, A. Galindo, and G. Jackson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.011707 66, 011707 (2002).
45. J. S. Rowlinson and F. L. Swinton, Liquids and Liquid Mixtures, 3rd ed. (Butterworth Scientific, London, 1982);
46. H. B. Callen, Thermodynamics (Wiley, New York, 1960).
47. J. D. Parsons, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.19.1225 19, 1225 (1979).
48. S. D. Lee, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.452811 87, 4972 (1987).
49. T. Odijk and H. N. W. Lekkerkerker, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100256a058 89, 2090 (1985).
50. J. P. Straley, Mol. Cryst. Liq. Cryst. MCLCA5 0026-8941 24, 7 (1973).
51. G. J. Vroege and H. N. W. Lekkerkerker, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/55/8/003 55, 1241 (1992).
52. A. Poniewierski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.5605 45, 5605 (1992).
53. S. C. McGrother, D. C. Williamson, and G. Jackson, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.471343 104, 6755 (1996).
54. P. J. Camp, C. P. Mason, M. P. Allen, A. A. Khare, and D. A. Kofke, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.472146 105, 2837 (1996).
55. M. Franco-Melgar, S. Varga, and G. Jackson (unpublished).
56. P. Bolhuis and D. Frenkel, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.473404 106, 666 (1997).
57. J. P Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic Press, London, 1986).