Demixing and orientational ordering in mixtures of rectangular particles

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

Volumn 76, Issue 3, 2007, Pages

  De Las Heras, D ^a   Martínez Ratón, Yuri ^b   Velasco, Enrique ^c  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

^b UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^c INSTITUTO NICOLÁS CABRERA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; COMPUTER SIMULATION; CRYSTAL SYMMETRY; DEGREES OF FREEDOM (MECHANICS); PHASE BEHAVIOR; PHASE STABILITY;

DEMIXING BEHAVIOR; THREE DIMENSIONAL FLUIDS; UNIAXIAL NEMATIC PHASES;

BINARY MIXTURES;

EID: 34548863955     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.031704     Document Type: Article

References (58)

1. G. J. Vroege and H. N. W. Lekkerkerker, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/55/8/003 55, 1241 (1992).
2. T. Itou and A. Teramoto, Macromolecules MAMOBX 0024-9297 10.1021/ma00137a023 17, 1419 (1984);
3. T. Itou and A. Teramoto, Polym. J. (Tokyo, Jpn.) POLJB8 0032-3896 10.1295/polymj.16.779 16, 779 (1984);
4. P. Buining and H. N. W. Lekkerkerker, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100146a027 97, 11510 (1993);
5. G. Nounesis, S. Kumar, S. Pfeiffer, R. Shashidhar, and C. W. Garland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.565 73, 565 (1994);
6. F. M. van der Kooij and H. N. W. Lekkerkerker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.781 84, 781 (2000);
7. 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).
8. J. L. Lebowitz and J. S. Rowlinson, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1725611 41, 133 (1964);
9. G. A. Mansoori, N. F. Carnahan, K. E. Starling, and T. W. Leland, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1675048 54, 1523 (1971);
10. T. Biben and J.-P. Hansen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.2215 66, 2215 (1991);
11. H. N. W. Lekkerkerker and A. Stroobants, Physica A PHYADX 0378-4371 10.1016/0378-4371(93)90165-Z 195, 387 (1993);
12. M. Dijkstra, R. van Roij, and R. Evans, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.117 82, 117 (1999).
13. P. J. Flory and A. Abe, Macromolecules MAMOBX 0024-9297 10.1021/ma60066a011 11, 1119 (1978).
14. 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).
15. T. Odijk and H. N. W. Lekkerkerker, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100256a058 89, 2090 (1985).
16. T. M. Birshtein, B. I. Kolegov, and V. A. Pryamitsyn, Polym. Sci. U.S.S.R. PYSCAN 0032-3950 10.1016/0032-3950(88)90125-6 30, 316 (1988).
17. G. J. Vroege and H. N. W. Lekkerkerker, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100116a026 97, 3601 (1993).
18. R. van Roij and B. Mulder, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.6430 54, 6430 (1996).
19. S. Varga, K. Purdy, A. Galindo, S. Fraden, and G. Jackson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.051704 72, 051704 (2005).
20. T. Koda and H. Kimura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.63.984 63, 984 (1994).
21. G. Cinacchi, L. Mederos, and E. Velasco, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1774153 121, 3854 (2004).
22. Y. Martínez-Ratón, E. Velasco, and L. Mederos, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2013251 123, 104906 (2005).
23. G. Cinacchi, Y. Martínez-Ratón, L. Mederos, and E. Velasco, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2207141 124, 234904 (2006).
24. J. Talbot, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.473506 106, 4696 (1997).
25. P. van der Schoot, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.473091 106, 2355 (1997).
26. A. Perera, J. Mol. Liq. JMLIDT 0167-7322 10.1016/j.molliq.2003.08.005 109, 73 (2004).
27. Y. Martínez-Ratón, E. Velasco, and L. Mederos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.031703 72, 031703 (2005).
28. See, e.g., K. J. Strandburg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.60.161 60, 161 (1988).
29. J. P. Straley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.4.675 4, 675 (1971).
30. J. Tobochnik and G. V. Chester, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.27.1221 27, 1221 (1983).
31. D. Frenkel and R. Eppenga, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.1776 31, 1776 (1985).
32. M. A. Bates and D. Frenkel, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.481637 112, 10034 (2000).
33. M. C. Lagomarsino, M. Dogteron, and M. Dijkstra, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1588994 119, 3535 (2003).
34. J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/6/7/010 6, 1181 (1973).
35. J. Vieillard-Baron, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1676946 56, 4729 (1972).
36. J. A. Cuesta and D. Frenkel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.2126 42, 2126 (1990).
37. R. F. Kayser and H. J. Raveché, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.17.2067 17, 2067 (1978).
38. J. A. Cuesta, C. F. Tejero, and M. Baus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.6498 39, 6498 (1989).
39. H. Schlacken, H.-J. Mogel, and P. Schiller, Mol. Phys. MOPHAM 0026-8976 10.1080/002689798168790 93, 777 (1998).
40. Y. Martínez-Ratón, E. Velasco, and L. Mederos, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1849159 122, 064903 (2005).
41. K. W. Wojciechowski and D. Frenkel, Comp. Met. Sci. Tech. 10, 235 (2004).
42. A. Donev, J. Burton, F. H. Stillinger, and S. Torquato, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.054109 73, 054109 (2006).
43. Y. Martínez-Ratón, E. Velasco, and L. Mederos, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2209000 125, 014501 (2006).
44. V. Narayan, N. Menon, and S. Ramaswamy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2006, P01005.
45. Y. Martínez-Ratón, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.051708 75, 051708 (2007).
46. M. Dijkstra and D. Frenkel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.298 72, 298 (1994);
47. M. Dijkstra, D. Frenkel, and J.-P. Hansen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.468468 101, 3179 (1994).
48. J. A. Cuesta, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76. 3742 76, 3742 (1996).
49. Y. Martínez-Ratón and J. A. Cuesta, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.479273 111, 317 (1999).
50. L. Lafuente and J. A. Cuesta, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.145701 89, 145701 (2002).
51. A. Buhot and W. Krauth, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.2939 59, 2939 (1999).
52. M. A. Cotter and D. C. Wacker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.18.2669 18, 2669 (1978);
53. M. A. Cotter and D. C. Wacker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.18.2676 18, 2676 (1978).
54. H. L. Scott, Jr., Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.21.2082 21, 2082 (1980).
55. Recent results for high-order virial coefficients of several two-dimensional hard convex particles can be found in M. Rigby, Mol. Phys. MOPHAM 0026-8976 10.1080/00268979300100031 78, 21 (1993).
56. R. van Roij and B. Mulder, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.473006 105, 11237 (1998).
57. S. DuBois and A. Perera, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1458544 116, 6354 (2002).
58. D. de las Heras, Y. Martínez-Ratón, and E. Velasco (unpublished).