Fluid mixing by curved trajectories of microswimmers

Physical Review Letters

Volumn 111, Issue 18, 2013, Pages

  Pushkin, Dmitri O ^a   Yeomans, Julia M ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

REYNOLDS NUMBER;

DILUTE SUSPENSIONS; FLUID MIXING; LOW REYNOLDS NUMBER; THREE DIMENSIONS; TRACER DIFFUSION; TUMBLE MOTION;

BACTERIA;

EID: 84887068053     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.111.188101     Document Type: Article

References (27)

1. X.-L. Wu and A. Libchaber, Phys. Rev. Lett. 84, 3017 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.3017 (Pubitemid 40598951)
2. C. Dombrowski, L. Cisneros, S. Chatkaew, R. E. Goldstein, and J. O. Kessler, Phys. Rev. Lett. 93, 098103 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.098103
3. A. Sokolov, R. E. Goldstein, F. I. Feldchtein, and I. S. Aranson, Phys. Rev. E 80, 031903 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.80.031903
4. K. C. Leptos, J. S. Guasto, J. P. Gollub, A. I. Pesci, and R. E. Goldstein, Phys. Rev. Lett. 103, 198103 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.198103
5. H. Kurtuldu, J. S. Guasto, K. A. Johnson, and J. P. Gollub, Proc. Natl. Acad. Sci. U.S.A. 108, 10 391 (2011). PNASA6 0027-8424 10.1073/pnas.1107046108
6. G. Miño, T. E. Mallouk, T. Darnige, M. Hoyos, J. Dauchet, J. Dunstan, R. Soto, Y. Wang, A. Rousselet, and E. Clement, Phys. Rev. Lett. 106, 048102 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.048102
7. G. Miño, J. Dunstan, A. Rousselet, E. Clement, and R. Soto, arXiv:1210.7704.
8. A. Jepson, V. A. Martinez, J. Schwarz-Linek, A. Morozov, and W. C. K. Poon, arXiv:1307.1274.
9. P. T. Underhill, J. P. Hernandez-Ortiz, and M. D. Graham, Phys. Rev. Lett. 100, 248101 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.248101
10. T. Ishikawa, J. T. Locsei, and T. J. Pedley, Phys. Rev. E 82, 021408 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.82.021408
11. Z. Lin, J.-L. Thiffeault, and S. Childress, J. Fluid Mech. 669, 167 (2011). JFLSA7 0022-1120 10.1017/S002211201000563X
12. M. J. Kim and K. S. Breuer, Phys. Fluids 16, L78 (2004). PHFLE6 1070-6631 10.1063/1.1787527 (Pubitemid 39250635)
13. M. J. Kim and K. S. Breuer, Anal. Chem. 79, 955 (2007). ANCHAM 0003-2700 10.1021/ac0614691
14. I. Rushkin, V. Kantsler, and R. E. Goldstein, Phys. Rev. Lett. 105, 188101 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.188101
15. I. M. Zaid, J. Dunkel, and J. M. Yeomans, J. R. Soc. Interface 8, 1314 (2011). 1742-5689 10.1098/rsif.2010.0545
16. P. T. Underhill and M. D. Graham, Phys. Fluids 23, 121902 (2011). PHFLE6 1070-6631 10.1063/1.3670420
17. D. O. Pushkin, H. Shum, and J. M. Yeomans, J. Fluid Mech. 726, 5 (2013). JFLSA7 0022-1120 10.1017/jfm.2013.208
18. Convergence to a Gaussian does not preclude the distribution from having "fat tails" outside of the central region. For a discussion see, for example, M. Z. Bazant, http://ocw.mit.edu/courses/mathematics/18-366-random- walks-and-diffusion-fall-2006/lecture-notes/lec06.pdf. Indeed, such heavy-tailed distributions seem to be generic for dilute suspensions of swimmers.
19. K. Drescher, R. E. Goldstein, N. Michel, M. Polin, and I. Tuval, Phys. Rev. Lett. 105, 168101 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.168101
20. K. Drescher, J. Dunkel, L. H. Cisneros, S. Ganguly, and R. E. Goldstein, Proc. Natl. Acad. Sci. U.S.A. 108, 10 940 (2011). PNASA6 0027-8424 10.1073/pnas.1019079108
21. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.111.188101 for brief discussions of Eqs. and of the equivalence of the effect of sharp reorientations of swimmers to that of smooth trajectories with a finite persistence length.
22. G. I. Barenblatt, Scaling, Self-Similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics (Cambridge University Press, Cambridge, England, 1996), Vol. 14.
23. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992).
24. H. C. Berg and D. A. Brown, Nature (London) 239, 500 (1972). NATUAS 0028-0836 10.1038/239500a0
25. D. O. Pushkin and J. M. Yeomans (to be published).
26. D. T. N. Chen, A. W. C Lau, L. A. Hough, M. F. Islam, M. Goulian, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 99, 148302 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.148302 (Pubitemid 47531674)
27. Berdakin I., Jeyaram Y., Moshchalkov V.V., Venken L., Dierckx S., Vanderleyden S.J., Silhanek A.V., Condat C.A., Marconi V.I., Phys. Rev. E, 87, 052702, 2013, PLEEE8 1539-3755 10.1103/PhysRevE.87.052702