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Simultaneous calculation of the helical pitch and the twist elastic constant in chiral liquid crystals from intermolecular torques
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Germano, Guido, Allen, M. P. and Masters, Andrew J.. (2002) Simultaneous calculation of the helical pitch and the twist elastic constant in chiral liquid crystals from intermolecular torques. Journal of Chemical Physics, Vol.116 (No.21). pp. 9422-9430. ISSN 0021-9606
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Official URL: http://dx.doi.org/10.1063/1.1475747
Abstract
We present a molecular simulation method that yields simultaneously the equilibrium pitch wave number q and the twist elastic constant K2 of a chiral nematic liquid crystal by sampling the torque density. A simulation of an untwisted system in periodic boundary conditions gives the product K2q; a further simulation with a uniform twist applied provides enough information to separately determine the two factors. We test our new method for a model potential, comparing the results with K2q from a thermodynamic integration route, and with K2 from an order fluctuation analysis. We also present a thermodynamic perturbation theory analysis valid in the limit of weak chirality.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Physics |
| Library of Congress Subject Headings (LCSH): | Liquid crystals, Thermodynamics |
| Journal or Publication Title: | Journal of Chemical Physics |
| Publisher: | American Institute of Physics |
| ISSN: | 0021-9606 |
| Date: | 1 June 2002 |
| Volume: | Vol.116 |
| Number: | No.21 |
| Page Range: | pp. 9422-9430 |
| Identification Number: | 10.1063/1.1475747 |
| Status: | Peer Reviewed |
| Access rights to Published version: | Open Access |
| Funder: | Leverhulme Trust (LT), Engineering and Physical Sciences Research Council (EPSRC), British Council |
| References: | 1 P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1995). 2 M. P. Allen and A. J. Masters, Molec. Phys. 79, 277 (1993). 3 M. P. Allen, Phys. Rev. E 47, 4611 (1993). 4 P. J. Camp, Molec. Phys. 91, 381 (1997). 5 M. J. Cook and M. R. Wilson, J. Chem. Phys. 112, 1560 10 (2000). 6 C. G. Gray and K. E. Gubbins, Theory of molecular °uids. Vol. 1: Fundamentals (Clarendon Press, Oxford, 1984). 7 J.-P. Hansen and I. R. McDonald, Theory of simple liquids (Academic Press, London, 1986), 2nd ed. 8 A. B. Harris, R. D. Kamien, and T. C. Lubensky, Phys. Rev. Lett. 78, 1476 (1997). 9 A. B. Harris, R. D. Kamien, and T. C. Lubensky, Phys. Rev. Lett. 78, 2867 (1997). 10 A. B. Harris, R. D. Kamien, and T. C. Lubensky, Rev. Mod. Phys. 71, 1745 (1999). 11 V. B. Nemtsov and M. A. Osipov, Sov. Phys. Crystallogr. 31, 125 (1986). 12 J. L. Billeter and R. A. Pelcovits, Liq. Cryst. 27, 1151 (2000). 13 J. M. Haile, Molecular dynamics simulation: elementary methods (Wiley, New York, 1992). 14 M. P. Allen and A. J. Masters, J. Mater. Sci. 11, 2678 (2001). 15 J. G. Gay and B. J. Berne, J. Chem. Phys. 74, 3316 (1981). 16 R. Berardi, A. P. J. Emerson, and C. Zannoni, J. Chem. Soc. Faraday Trans. 89, 4069 (1993). 17 R. Memmer, H. G. Kuball, and A. SchÄonhofer, Liq. Cryst. 15, 345 (1993). 18 W. J. A. Goossens, Mol. Cryst. Liq. Cryst. 12, 237 (1971). 19 B. W. van der Meer, G. Vertogen, A. J. Dekker, and J. G. J. Ypma, J. Chem. Phys. 65, 3935 (1976). 20 M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon Press, Oxford, 1989), paperback ed. 21 D. Forster, Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions, vol. 47 of Frontiers in Physics (Benjamin, Reading, 1975). 22 H. C. Andersen, J. Comput. Phys. 52, 24 (1983). 23 G. Germano (2002), in preparation. 24 M. P. Allen, M. A. Warren, M. R. Wilson, A. Sauron, and W. Smith, J. Chem. Phys. 105, 2850 (1996). 25 A. V. Emelyanenko, M. A. Osipov, and D. A. Dunmur, Phys. Rev. E 62, 2340 (2000). 26 J. Stelzer, L. Longa, and H. R. Trebin, Mol. Cryst. Liq. Cryst. Sci. Technol. Sect. A 262, 455 (1995). 27 J. Stelzer, H.-R. Trebin, and L. Longa, J. Chem. Phys. 107, 1295 (1997), erratum. 28 A. V. Zakharov and A. Maliniak, Eur. Phys. J. E 4, 85 (2001). 29 N. H. Phuong, G. Germano, and F. Schmid (2002), Comp. Phys. Commun., in press. 30 N. H. Phuong, G. Germano, and F. Schmid, J. Chem. Phys. 115, 7227 (2001). |
| URI: | http://wrap.warwick.ac.uk/id/eprint/354 |
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