Table of Contents Author Guidelines Submit a Manuscript
Advances in Condensed Matter Physics
Volume 2016, Article ID 5871826, 6 pages
http://dx.doi.org/10.1155/2016/5871826
Research Article

A Simple Free Energy for the Isotropic-Nematic Phase Transition of Rods

1Laboratory of Physical Chemistry (SPC), Department of Chemical Engineering and Chemistry and Institute for Complex Molecular Systems (ICMS), Eindhoven University of Technology, Helix STO 2.49, P.O. Box 513, 5600 MB Eindhoven, Netherlands
2Van’t Hoff Laboratory for Physical and Colloid Chemistry, Department of Chemistry and Debye Institute, Utrecht University, Padualaan 8, 3584 CH Utrecht, Netherlands

Received 3 August 2016; Accepted 21 September 2016

Academic Editor: Charles Rosenblatt

Copyright © 2016 Remco Tuinier. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. J. Solomon and P. T. Spicer, “Microstructural regimes of colloidal rod suspensions, gels, and glasses,” Soft Matter, vol. 6, no. 7, pp. 1391–1400, 2010. View at Publisher · View at Google Scholar · View at Scopus
  2. P. Kirsch and M. Bremer, “Nematic liquid crystals for active matrix displays: molecular design and synthesis,” Angewandte Chemie—International Edition, vol. 39, no. 23, pp. 4216–4235, 2000. View at Publisher · View at Google Scholar · View at Scopus
  3. “Minutes of the Meeting of the New England Section held at Hartford, Connecticut, October 24, 1942,” Physical Review, vol. 62, no. 11-12, pp. 558–559, 1942. View at Publisher · View at Google Scholar
  4. L. Onsager, “The effects of shape on the interaction of colloidal particles,” Annals of the New York Academy of Sciences, vol. 51, pp. 627–659, 1949. View at Publisher · View at Google Scholar
  5. G. J. Vroege and H. N. W. Lekkerkerker, “Phase transitions in lyotropic colloidal and polymer liquid crystals,” Reports on Progress in Physics, vol. 55, no. 8, pp. 1241–1309, 1992. View at Publisher · View at Google Scholar · View at Scopus
  6. T. Odijk, “Theory of lyotropic polymer liquid crystals,” Macromolecules, vol. 19, no. 9, pp. 2313–2329, 1986. View at Publisher · View at Google Scholar · View at Scopus
  7. D. Frenkel, “Entropy-driven phase transitions,” Physica A, vol. 263, no. 1–4, pp. 26–38, 1999. View at Publisher · View at Google Scholar · View at Scopus
  8. D. Frenkel, H. N. W. Lekkerkerker, and A. Stroobants, “Thermodynamic stability of a smectic phase in a system of hard rods,” Nature, vol. 332, no. 6167, pp. 822–823, 1988. View at Publisher · View at Google Scholar · View at Scopus
  9. R. van Roij, “The isotropic and nematic liquid crystal phase of colloidal rods,” European Journal of Physics, vol. 26, no. 5, pp. S57–S67, 2005. View at Publisher · View at Google Scholar · View at Scopus
  10. J. P. Straley, “Gas of long rods as a model for lyotropic liquid crystals,” Molecular Crystals and Liquid Crystals, vol. 22, no. 3-4, pp. 333–357, 1973. View at Publisher · View at Google Scholar · View at Scopus
  11. M. Franco-Melgary, A. J. Haslam, and G. Jackson, “A generalisation of the Onsager trial-function approach: describing nematic liquid crystals with an algebraic equation of state,” Molecular Physics, vol. 106, no. 5, pp. 649–678, 2008. View at Publisher · View at Google Scholar
  12. H. N. W. Lekkerkerker, P. Coulon, R. Van Der Haegen, and R. Deblieck, “On the isotropic-liquid crystal phase separation in a solution of rodlike particles of different lengths,” The Journal of Chemical Physics, vol. 80, no. 7, pp. 3427–3433, 1984. View at Publisher · View at Google Scholar · View at Scopus
  13. J. D. Parsons, “Nematic ordering in a system of rods,” Physical Review A, vol. 19, no. 3, pp. 1225–1230, 1979. View at Publisher · View at Google Scholar
  14. N. F. Carnahan and K. E. Starling, “Equation of state for nonattracting rigid spheres,” The Journal of Chemical Physics, vol. 51, no. 2, p. 635, 1969. View at Publisher · View at Google Scholar
  15. S. D. Lee, “A numerical investigation of nematic ordering based on a simple hard‐rod model,” The Journal of Chemical Physics, vol. 87, no. 8, article 4972, 1987. View at Publisher · View at Google Scholar
  16. S.-D. Lee, “The Onsager‐type theory for nematic ordering of finite‐length hard ellipsoids,” The Journal of Chemical Physics, vol. 89, no. 11, pp. 7036–7037, 1988. View at Publisher · View at Google Scholar
  17. P. Bolhuis and D. Frenkel, “Tracing the phase boundaries of hard spherocylinders,” Journal of Chemical Physics, vol. 106, no. 2, pp. 666–687, 1997. View at Publisher · View at Google Scholar
  18. S. C. McGrother, D. C. Williamson, and G. Jackson, “A re-examination of the phase diagram of hard spherocylinders,” Journal of Chemical Physics, vol. 104, no. 17, pp. 6755–6771, 1996. View at Publisher · View at Google Scholar · View at Scopus
  19. M. A. Cotter and D. C. Wacker, “Van der Waals theory of nematogenic solutions. I. Derivation of the general equations,” Physical Review A, vol. 18, no. 6, pp. 2669–2675, 1978. View at Publisher · View at Google Scholar · View at Scopus
  20. H. N. W. Lekkerkerker and A. Stroobants, “Phase behaviour of rod-like colloid+flexible polymer mixtures,” Il Nuovo Cimento D, vol. 16, no. 8, pp. 949–962, 1994. View at Publisher · View at Google Scholar · View at Scopus
  21. M. A. Cotter, “Hard spherocylinders in an anisotropic mean field: a simple model for a nematic liquid crystal,” The Journal of Chemical Physics, vol. 66, no. 3, pp. 1098–1106, 1977. View at Publisher · View at Google Scholar