Elastic constants and dynamics in nematic liquid crystals

Molecular Physics

Volumn 113, Issue 17-18, 2015, Pages 2680-2692

  Humpert, Anja ^a   Allen, Michael P ^a,b  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

elastic constants; hydrodynamics; liquid crystal; molecular dynamics; nematic

Indexed keywords

DECAY (ORGANIC); ELASTIC CONSTANTS; EQUILIBRIUM CONSTANTS; HYDRODYNAMICS; LIQUID CRYSTALS; MOLECULAR DYNAMICS; NEMATIC LIQUID CRYSTALS; VELOCITY;

FRANK ELASTIC CONSTANTS; GAY-BERNE POTENTIALS; MOLECULAR DYNAMICS CALCULATION; NEMATIC; ORIENTATIONAL FLUCTUATIONS; OSCILLATION FREQUENCY; OSCILLATORY SHEAR FLOW; TIME CORRELATION FUNCTIONS;

SHEAR FLOW;

EID: 84943580555     PISSN: 00268976     EISSN: 13623028     Source Type: Journal    
DOI: 10.1080/00268976.2015.1067730     Document Type: Article

References (50)

1. C. Oseen, Trans. Faraday Soc. 29, 883 (1933).
2. H. Zocher, Trans. Faraday Soc. 29, 945 (1933).
3. F.C. Frank, Discuss. Faraday Soc. 25, 19 (1958).
4. S. Singh, Phys. Rep. 277, 284 (1996).
5. M. Schadt and W. Helfrich, Appl. Phys. Lett. 18, 127 (1971).
6. M. Ravnik and S. Žumer, Soft Matter 5, 269 (2009).
7. M. Škarabot, M. Ravnik, S. Žumer, U. Tkalec, I. Poberaj, D. Babič, N. Osterman and I. Muševič, Phys. Rev. E 77, 031705 (2008).
8. I. Muševič, M. Škarabot, U. Tkalec, M. Ravnik and S. Žumer, Science 313, 954 (2006).
9. A.A. Verhoeff, R.H.J. Otten, P. van der Schoot and H.N.W. Lekkerkerker, J. Phys. Chem. B 113, 3704 (2009).
10. W. Brown, M. Petersen, S. Plimpton and G. Grest, J. Chem. Phys. 130, 044901 (2009).
11. S.I. Hernandez, J.A. Moreno-Razo, A. Ramirez-Hernandez, E. Diaz-Herrera, J.P. Hernández-Ortiz and J.J. de Pablo, Soft Matter 8, 1443 (2012).
12. J.L. Ericksen, Arch. Rational Mech. Anal. 4, 231 (1960).
13. F. Leslie, Arch. Rational Mech. Anal. 28, 265 (1968).
14. O. Parodi, J. de Physique 31, 581 (1970).
15. D. Forster, T.C. Lubensky, P.C. Martin, J. Swift and P.S. Pershan, Phys. Rev. Lett. 26, 1016 (1971).
16. P.C. Martin, O. Parodi and P.S. Pershan, Phys. Rev. A 6, 2401 (1972).
17. M.P. Allen and D. Frenkel, Phys. Rev. A 37, 1813 (1988); 42, 3641(E) (1990).
18. M.P. Allen, M.A. Warren, M.R. Wilson, A. Sauron and W. Smith, J. Chem. Phys. 105, 2850 (1996).
19. E. Fischermeier, D. Bartuschat, T. Preclik, M. Marechal and K. Mecke, Comput. Phys. Commun. 185, 3156 (2014).
20. D.J. Cleaver and M. Allen, Phys. Rev. A 43, 1918 (1991).
21. T. Gruhn and S. Hess, Z. Naturf. A 51a, 1 (1996).
22. A. Joshi, J. Whitmer, O.Guzmán, N. Abbott and J. de Pablo, Soft Matter 10, 882 (2014).
23. A. Poniewierski and J. Stecki, Molec. Phys. 38, 1931 (1979).
24. M.D. Lipkin, S.A. Rice and U. Mohanty, J. Chem. Phys. 82, 472 (1985).
25. H. Yokoyama, Phys. Rev. E 55, 2938 (1997).
26. J. Stelzer, L. Longa and H.R. Trebin, J. Chem. Phys. 103, 3098 (1995); 107, 1295(E) (1997).
27. J. Stelzer, L. Longa and H.R. Trebin, Mol. Cryst. Liq. Cryst. Sci. Tech. Sect. A 262, 455 (1995).
28. N. Phuong, G. Germano and F. Schmid, J. Chem. Phys. 115, 7227 (2001).
29. M.P. Allen and M.A. Warren, Phys. Rev. Lett. 78, 1291 (1997).
30. A. Humpert and M.P. Allen, Phys. Rev. Lett. 114, 028301 (2015).
31. R. Eppenga and D. Frenkel, Molec. Phys. 52, 1303 (1984).
32. D. Forster, Ann. Phys. 85, 505 (1974).
33. D. Forster, Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions, Frontiers in Physics (Benjamin, Reading, 1975), Vol. 47.
34. Orsay Liquid Crystal Group, J. Chem. Phys. 51, 816 (1969).
35. M.J. Stephen and J.P. Straley, Rev. Mod. Phys. 46, 617 (1974).
36. I.W. Stewart, The Static and Dynamic Continuum Theory of Liquid Crystals: A Mathematical Introduction (Taylor and Francis, London, 2004).
37. J.L. Barrat and J.P. Hansen, Basic Concepts for Simple and Complex Liquids (Cambridge University Press, Cambridge, 2003).
38. J.P. Hansen and I.R. McDonald, Theory of Simple Liquids with Applications to Soft Matter, 4th ed. (Academic Press, London, 2013).
39. J.G. Gay and B.J. Berne, J. Chem. Phys. 74, 3316 (1981).
40. R. Berardi, A.P.J. Emerson and C. Zannoni, J. Chem. Soc. Faraday Trans. 89, 4069 (1993).
41. D.J. Cleaver, C.M. Care, M.P. Allen and M.P. Neal, Phys. Rev. E 54, 559 (1996).
42. M.A. Bates and G.R. Luckhurst, J. Chem. Phys. 110, 7087 (1999).
43. E. de Miguel, Mol. Phys. 100, 2449 (2002).
44. S. Plimpton, J. Chem. Phys. 117, 1 (1995).
45. R. Berardi, C. Fava and C. Zannoni, Chem. Phys. Lett. 236, 462 (1995).
46. R. Everaers and M.R. Ejtehadi, Phys. Rev. E 67, 041710 (2003).
47. M.R. Wilson, M.P. Allen, M.A. Warren, A. Sauron and W. Smith, J. Comput. Chem. 18, 478 (1997).
48. E. de Miguel, E. Martín del Río, J.T. Brown and M.P. Allen, J. Chem. Phys. 105, 4234 (1996).
49. J.T. Brown, M.P. Allen, E. Martín del Río and E. de Miguel, Phys. Rev. E 57, 6685 (1998).
50. J.M. Ilnytskyi and M.R. Wilson, Comput. Phys. Commun. 134, 23 (2001).