Steady-state hydrodynamic instabilities of active liquid crystals: Hybrid lattice Boltzmann simulations

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

Volumn 76, Issue 3, 2007, Pages

  Marenduzzo, D ^a   Orlandini, E ^b   Cates, M E ^a   Yeomans, J M ^c  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b UNIVERSITY OF PADOVA   (Italy)

^c UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; HYDRODYNAMICS; MOLECULAR DYNAMICS; MOLECULAR MODELING;

FLOW TUMBLING MATERIALS; HYBRID LATTICE BOLTZMANN (HLB); SPONTANEOUS FLOW;

NEMATIC LIQUID CRYSTALS;

EID: 34748891905     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.031921     Document Type: Article

References (49)

1. Y. Hatwalne, S. Ramaswamy, M. Rao, and R. A. Simha, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.118101 92, 118101 (2004).
2. R. A. Simha and S. Ramaswamy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.058101 89, 058101 (2002).
3. K. Kruse, J. F. Joanny, F. Julicher, J. Prost, and K. Sekimoto, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/e2005-00002-5 16, 5 (2005).
4. K. Kruse, J. F. Joanny, F. Julicher, J. Prost, and K. Sekimoto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.078101 92, 078101 (2004).
5. R. Voituriez, J. F. Joanny, and J. Prost, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.028102 96, 028102 (2006).
6. T. B. Liverpool and M. C. Marchetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.138102 90, 138102 (2003);
7. T. B. Liverpool and M. C. Marchetti, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10414-0 69, 846 (2005);
8. T. B. Liverpool and M. C. Marchetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.268101 97, 268101 (2006).
9. R. Voituriez, J. F. Joanny, and J. Prost, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10501-2 70, 404 (2005).
10. V. Narayan, N. Menon, and S. Ramaswamy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2006, P01005.
11. I. Llopis and I. Pagonabarraga, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10201-y 75, 999 (2006).
12. S. Ramachandran, P. B. S. Kumar, and I. Pagonabarraga, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2006-10009-1 20, 151 (2006).
13. D. Bray, Cell Movements: From Molecules to Motility (Garland Publishing, New York, 2000).
14. P. R. Cook, Principles of Nuclear Structure and Function (Wiley, New York, 2001).
15. J. van der Gucht, E. Paluch, and C. Sykes, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0502121102 102, 7847 (2005);
16. M. F. Carlier, BioEssays BIOEEJ 0265-9247 10.1002/bies.10257 25, 336 (2003);
17. N. J. Burroughs and D. Marenduzzo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.238302 98, 238302 (2007).
18. J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer Associates, Inc., Sunderland, 2001).
19. D. Humphrey, C. Duggan, D. Saha, D. Smith, and J. Kas, Nature (London) NATUAS 0028-0836 10.1038/416413a 416, 413 (2002).
20. T. Surrey, F. Nedelec, S. Leibler, and E. Karsenti, Science SCIEAS 0036-8075 10.1126/science.1059758 292, 1167 (2001).
21. F. J. Nedelec, T. Surrey, A. C. Maggs, and S. Leibier, Nature (London) NATUAS 0028-0836 10.1038/38532 389, 305 (1997).
22. P. Kraikivski, R. Lipowsky, and J. Kierfeld, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.258103 96, 258103 (2006).
23. C. Storm, J. J. Pastore, F. C. MacKintosh, T. C. Lubensky, and P. A. Janmey, Nature (London) NATUAS 0028-0836 10.1038/nature03521 435, 191 (2005).
24. D. Marenduzzo, E. Orlandini, M. E. Cates, and J. M. Yeomans, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 (to be published).
25. D. Marenduzzo, E. Orlandini, and J. M. Yeomans, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.118102 98, 118102 (2007).
26. H. Haken, Synergetics: An Introduction. Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology, 3rd rev. enl. ed. (New York, Springer-Verlag, 1983).
27. M. G. Forest, R. H. Zhou, and Q. Wang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.088301 93, 088301 (2004).
28. B. Chakrabarti, M. Das, C. Dasgupta, S. Ramaswamy, and A. K. Sood, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.055501 92, 055501 (2004).
29. A. Aradian and M. E. Cates, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10011-9 70, 397 (2005).
30. A. N. Morozov and W. van Saarloos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.024501 95, 024501 (2005).
31. A. Onuki, Phase Transition Dynamics (Cambridge University Press, Cambridge, 2002).
32. A. Onuki, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/ 10/49/034 10, 11473 (1998).
33. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.851 65, 851 (1993).
34. S. C. Glotzer, E. A. Di Marzio, and M. Muthukumar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.2034 74, 2034 (1995).
35. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon Press, Oxford, 1993).
36. A. N. Beris and B. J. Edwards, Thermodynamics of Flowing Systems (Oxford University Press, Oxford, 1994);
37. A. N. Beris, B. J. Edwards, and M. Grmela, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(90)85072-7 35, 51 (1990).
38. P. D. Olmsted and P. M. Goldbart, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.4966 46, 4966 (1992).
39. P. D. Olmsted and C.-Y. D. Lu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.R55 56, R55 (1997);
40. P. D. Olmsted and C.-Y. D. Lu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.4397 60, 4397 (1999).
41. O. Thoumine and A. Ott, J. Cell. Sci. JNCSAI 0021-9533 110, 2109 (1997).
42. J. Uhde, M. Keller, E. Sackmann, A. Parmeggiani, and E. Frey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.268101 93, 268101 (2004).
43. S. Succi, The Lattice Boltzmann Equation (Oxford University Press, New York, 2001).
44. C. Denniston, E. Orlandini, and J. M. Yeomans, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.056702 63, 056702 (2001).
45. C. Denniston, D. Marenduzzo, E. Orlandini, and J. M. Yeomans, Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 10.1098/rsta.2004.1416 362, 1745 (2004).
46. D. Marenduzzo, E. Orlandini, and J. M. Yeomans, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00217-9 64, 406 (2003);
47. D. Marenduzzo, E. Orlandini, and J. M. Yeomans, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1757441 121, 582 (2004).
48. D. Marenduzzo, S. Ramaswamy, and M. E. Cates (unpublished).
49. N. Sulaiman, D. Marenduzzo, and J. M. Yeomans, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.041708 74, 041708 (2006).