Lattice Boltzmann simulations of liquid crystal hydrodynamics

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 5, 2001, Pages

  Denniston, Colin ^a   Orlandini, Enzo ^b   Yeomans, J M ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; HYDRODYNAMICS; LATTICE VIBRATIONS; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; SHEAR DEFORMATION; TENSORS;

LATTICE BOLTZMANN ALGORITHMS;

NEMATIC LIQUID CRYSTALS;

EID: 0035335313     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.056702     Document Type: Article

References (30)

1. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon Press, Oxford, 1993).
2. A. D. Rey and T. Tsuji, Macromol. Theory Simul. 7, 623 (1998);
3. T. Tsuji and A. Rey, Phys. Rev. E 57, 5609 (1998);
4. T. TsujiA. ReyJ. Non-Newtonian Fluid Mech. 73, 127 (1997).
5. P. T. Mather, A. Romo-Uribe, C. D. Han, and S. S. Kim, Macromolecules 30, 7977 (1997).
6. A. N. Beris and B. J. Edwards, Thermodynamics of Flowing Systems (Oxford University Press, Oxford, 1994).
7. J. L. Ericksen, Phys. Fluids 9, 1205 (1966).
8. F. M. Leslie, Arch. Ration. Mech. Anal. 28, 265 (1968).
9. J.-I. Fukuda, Eur. Phys. J. B 1, 173 (1998).
10. S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. 30, 329 (1998).
11. M. R. Swift, E. Orlandini, W. R. Osborn, and J. M. Yeomans, Phys. Rev. E 54, 5041 (1996).
12. J. M. Yeomans, Annu. Rev. Comput. Phys. VII, 61 (1999).
13. A. Lamura, G. Gonnella, and J. M. Yeomans, Europhys. Lett. 45, 314 (1999).
14. O. Theissen and G. Gompper, Eur. Phys. J. B 11, 91 (1999).
15. C. Care, I. Halliday, and K. Good (private communication).
16. R. G. Larson, Constitutive Equations for Polymer Melts and Solutions, Butterworths series in Chemical Engineering (Butterworth, Washington, D.C., 1988).
17. M. Doi, J. Polym. Sci., Polym. Phys. Ed. 19, 229 (1981);
18. N. Kuzuu and M. Doi, J. Phys. Soc. Jpn. 52, 3486 (1983);
19. M. Doi, Faraday Symp. Chem. Soc. 18, 49 (1983);
20. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1989).
21. P. D. Olmsted and P. M. Goldbart, Phys. Rev. A 46, 4966 (1992).
22. P. D. Olmsted and C.-Y. David Lu, Phys. Rev. E 56, 55 (1997);
23. Phys. Rev. EP. D. OlmstedC.-Y. David Lu60, 4397 (1999).
24. S. Sarman and D. J. Evans, J. Chem. Phys. 99, 9021 (1993).
25. A. J. Wagner, Europhys. Lett. 44, 144 (1998).
26. I. V. Karlin, A. Ferrante, and H. C. Ottinger, Europhys. Lett. 47, 182 (1999).
27. S. Chapman and T. Cowling, The Mathematical Theory of Non-uniform Gases, 3rd ed. (Cambridge University Press, Cambridge, 1990).
28. C. Denniston, E. Orlandini, and J. M. Yeomans, Theor. Comp. Polym. Sci. (to be published).
29. C. Denniston, E. Orlandini, and J. M. Yeomans (unpublished).
30. A. N. Beris, B. J. Edwards, and M. Grmela, J. Non-Newtonian Fluid Mech. 35, 51 (1990).