Stability of active suspensions

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

Volumn 81, Issue 4, 2010, Pages

  Hohenegger, Christel ^a   Shelley, Michael J ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVE SUSPENSION; BASIC MODELS; CONCENTRATION FLUCTUATION; CRITICAL VOLUME; DIFFUSIONAL EFFECTS; EIGENVALUE PROBLEM; ILL-POSEDNESS; KINETIC MODELS; LENGTH SCALE; LINEARIZED SYSTEMS; LONGWAVE INSTABILITY; NONNORMAL; NUMERICAL SIMULATION; ROTATIONAL DIFFUSION; SHORT WAVES; SYSTEM SIZE; TRANSLATIONAL DIFFUSION COEFFICIENT; VARIABLE COEFFICIENTS; VOLUME CONCENTRATION; WAVE NUMBERS;

ASYMPTOTIC ANALYSIS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; LINEARIZATION; RISK ANALYSIS; SUSPENSIONS (COMPONENTS); SYSTEM STABILITY; WAVES;

SUSPENSIONS (FLUIDS);

EID: 77951601768     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.046311     Document Type: Article

References (39)

1. C. Brennen and H. Winet, Annu. Rev. Fluid Mech. 9, 339 (1977). 10.1146/annurev.fl.09.010177.002011
2. J. Gray and G. Hancock, J. Exp. Biol. 32, 802 (1955).
3. E. Gouin, M. D. Welch, and P. Cossart, Curr. Opin. Microbiol. 8, 35 (2005). 10.1016/j.mib.2004.12.013
4. A. M. Leshansky, Phys. Rev. E 74, 012901 (2006). 10.1103/PhysRevE.74. 012901
5. W. F. Paxton, K. C. Kistler, C. C. Olmeda, A. Sen, S. K. St. Angelo, Y. Cao, T. E. Mallouk, P. E. Lammert, and V. H. Crespi, J. Am. Chem. Soc. 126, 13424 (2004). 10.1021/ja047697z
6. R. Golestanian, T. B. Liverpool, and A. Ajdari, Phys. Rev. Lett. 94, 220801 (2005). 10.1103/PhysRevLett.94.220801
7. J. R. Howse, R. A. L. Jones, A. J. Ryan, T. Gough, R. Vafabakhsh, and R. Golestanian, Phys. Rev. Lett. 99, 048102 (2007). 10.1103/PhysRevLett.99.048102
8. R. Dreyfus, J. Baudry, M. L. Roper, H. A. Stone, M. Fermigier, and J. Bibette, Nature (London) 437, 862 (2005). 10.1038/nature04090
9. D. Zerrouki, J. Baudry, D. Pine, P. Chaikin, and J. Bibette, Nature (London) 455, 380 (2008). 10.1038/nature07237
10. E. E. Keaveny and M. R. Maxey, J. Fluid Mech. 598, 293 (2008). 10.1017/S0022112007009949
11. E. E. Keaveny and M. J. Shelley, Phys. Rev. E 79, 051405 (2009). 10.1103/PhysRevE.79.051405
12. I. Tuval, L. Cisneros, C. Dombrowski, C. W. Wolgemuth, J. O. Kessler, and R. E. Goldstein, Proc. Natl. Acad. Sci. U.S.A. 102, 2277 (2005). 10.1073/pnas.0406724102
13. C. Dombrowski, L. Cisneros, S. Chatkaew, R. E. Goldstein, and J. O. Kessler, Phys. Rev. Lett. 93, 098103 (2004). 10.1103/PhysRevLett.93.098103
14. L. H. Cisneros, R. Cortez, C. Dombrowski, R. E. Goldstein, and J. O. Kessler, Exp. Fluids 43, 737 (2007). 10.1007/s00348-007-0387-y
15. A. Sokolov, I. S. Aranson, J. O. Kessler, and R. E. Goldstein, Phys. Rev. Lett. 98, 158102 (2007). 10.1103/PhysRevLett.98.158102
16. J. P. Hernández-Ortiz, C. G. Stoltz, and M. D. Graham, Phys. Rev. Lett. 95, 204501 (2005). 10.1103/PhysRevLett.95.204501
17. P. T. Underhill, J. P. Hernandez-Ortiz, and M. D. Graham, Phys. Rev. Lett. 100, 248101 (2008). 10.1103/PhysRevLett.100.248101
18. D. Saintillan and M. J. Shelley, Phys. Rev. Lett. 99, 058102 (2007). 10.1103/PhysRevLett.99.058102
19. D. Saintillan and M. J. Shelley, Phys. Rev. Lett. 100, 178103 (2008). 10.1103/PhysRevLett.100.178103
20. D. Saintillan and M. J. Shelley, Phys. Fluids 20, 123304 (2008). 10.1063/1.3041776
21. M. Doi and S. Edwards, The Theory of Polymer Dynamics (Oxford University Press, New York, 1986).
22. R. A. Simha and S. Ramaswamy, Phys. Rev. Lett. 89, 058101 (2002). 10.1103/PhysRevLett.89.058101
23. A. Baskaran and M. C. Marchetti, Proc. Natl. Acad. Sci. U.S.A. 106, 15567 (2009). 10.1073/pnas.0906586106
24. G. Subramanian and D. L. Koch, J. Fluid Mech. 632, 359 (2009). 10.1017/S002211200900706X
25. A. Sokolov, R. E. Goldstein, F. I. Feldchtein, and I. S. Aranson, Phys. Rev. E 80, 031903 (2009). 10.1103/PhysRevE.80.031903
26. T. Ishikawa and T. J. Pedley, J. Fluid Mech. 588, 399 (2007). 10.1017/S0022112007007835
27. A. Kanevsky, M. J. Shelley, and A. K. Tornberg, J. Comput. Phys. 229, 958 (2010). 10.1016/j.jcp.2009.05.030
28. J. B. Jeffery, Proc. R. Soc. London, Ser. A 102, 161 (1922). 10.1098/rspa.1922.0078
29. G. K. Batchelor, J. Fluid Mech. 46, 813 (1971). 10.1017/S0022112071000879
30. J. B. Keller and S. I. Rubinow, J. Fluid Mech. 75, 705 (1976). 10.1017/S0022112076000475
31. A. K. Tornberg and M. Shelley, J. Comput. Phys. 196, 8 (2004). 10.1016/j.jcp.2003.10.017
32. H. Brenner, J. Colloid Interface Sci. 71, 189 (1979). 10.1016/0021-9797(79)90232-7
33. F. Otto and A. E. Tzavaras, Commun. Math. Phys. 277, 729 (2008). 10.1007/s00220-007-0373-5
34. T. Ishikawa, M. P. Simmonds, and T. J. Pedley, J. Fluid Mech. 568, 119 (2006). 10.1017/S0022112006002631
35. C. M. Pooley, G. P. Alexander, and J. M. Yeomans, Phys. Rev. Lett. 99, 228103 (2007). 10.1103/PhysRevLett.99.228103
36. G. P. Alexander, C. M. Pooley, and J. M. Yeomans, J. Phys.: Condens. Matter 21, 204108 (2009). 10.1088/0953-8984/21/20/204108
37. A. Najafi and R. Golestanian, Phys. Rev. E 69, 062901 (2004). 10.1103/PhysRevE.69.062901
38. D. Saintillan (private communication).
39. I. Aranson (private communication).