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Self-regulation in self-propelled nematic fluids

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Abstract

We consider the hydrodynamic theory of an active fluid of self-propelled particles with nematic aligning interactions. This class of materials has polar symmetry at the microscopic level, but forms macrostates of nematic symmetry. We highlight three key features of the dynamics. First, as in polar active fluids, the control parameter for the order-disorder transition, namely the density, is dynamically convected by the order parameter via active currents. The resulting dynamical self-regulation of the order parameter is a generic property of active fluids and destabilizes the uniform nematic state near the mean-field transition. Secondly, curvature-driven currents render the system unstable deep in the nematic state, as found previously. Finally, and unique to self-propelled nematics, nematic order induces local polar order that in turn leads to the growth of density fluctuations. We propose this as a possible mechanism for the smectic order of polar clusters seen in numerical simulations.

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References

  1. J. Toner, Y. Tu, Phys. Rev. Lett. 75, 4326 (1995).

    Article  ADS  Google Scholar 

  2. J. Toner, Y. Tu, Phys. Rev. E 58, 4828 (1998).

    Article  MathSciNet  ADS  Google Scholar 

  3. S. Ramaswamy, R.A. Simha, J. Toner, Europhys. Lett. 62, 196 (2003).

    Article  ADS  Google Scholar 

  4. V. Narayan, S. Ramaswamy, N. Menon, Science 317, 105 (2007).

    Article  ADS  Google Scholar 

  5. A.J. Koch, H. Meinhardt, Rev. Mod. Phys. 66, 1481 (1994).

    Article  ADS  Google Scholar 

  6. E. Budrene, H. Berg, Nature 349, 630 (1991).

    Article  ADS  Google Scholar 

  7. E.O. Budrene, H. Berg, Nature 376, 49 (1995).

    Article  ADS  Google Scholar 

  8. M. Matsushita, in Bacteria as Multicellular Organisms, edited by J.A. Shapiro, M. Dworkin (Oxford University Press, 1997).

  9. S. Ramaswamy, Annu. Rev. Condens. Matter Phys. 1, 323 (2010).

    Article  ADS  Google Scholar 

  10. H. Gruler, U. Dewald, M. Eberhardt, Eur. Phys. J. B 11, 187 (1999).

    ADS  Google Scholar 

  11. R. Kemkemer, D. Kling, D. Kaufmann, H. Gruler, Eur. Phys. J. E 1, 215 (2000).

    Article  Google Scholar 

  12. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, O. Shochet, Phys. Rev. Lett. 75, 1226 (1995).

    Article  ADS  Google Scholar 

  13. G. Grégoire, H. Chaté, Phys. Rev. Lett. 92, 025702 (2004).

    Article  ADS  Google Scholar 

  14. A. Simha, S. Ramaswamy, Phys. Rev. Lett. 89, 058101 (2002).

    Article  ADS  Google Scholar 

  15. A. Baskaran, M.C. Marchetti, Phys. Rev. Lett. 101, 268101 (2008).

    Article  ADS  Google Scholar 

  16. A. Baskaran, M.C. Marchetti, Proc. Natl. Acad. Sci. U.S.A. 106, 15567 (2009).

    Article  ADS  Google Scholar 

  17. F. Peruani, J. Starruss, V. Jakovljevic, L. Sogaard-Anderseng, A. Deutsch, M. Bär, Phys. Rev. Lett. 108, 098102 (2012).

    Article  ADS  Google Scholar 

  18. J. Palacci, B. Abécassis, C. Cottin-Bizonne, C. Ybert, L. Bocquet, Phys. Rev. Lett. 104, 138302 (2010).

    Article  ADS  Google Scholar 

  19. A. Saez, M. Ghibaudo, A. Buguin, P. Silberzan, B. Ladoux, Proc. Natl. Acad. Sci. U.S.A. 104, 8281 (2007).

    Article  ADS  Google Scholar 

  20. L. Petitjean, M. Reffay, E. Grasland-Mongrain, M. Poujade, B. Ladoux, A. Buguin, P. Silberzan, Biophys. J. 98, 1790 (2010).

    Article  ADS  Google Scholar 

  21. K. Kruse, F. Joanny, F. Jülicher, J. Prost, K. Sekimoto, Phys. Rev. Lett. 92, 078101 (2004).

    Article  ADS  Google Scholar 

  22. R. Voituriez, J.F. Joanny, J. Prost, Europhys. Lett. 70, 404 (2005).

    Article  ADS  Google Scholar 

  23. R. Voituriez, J.F. Joanny, J. Prost, Phys. Rev. Lett. 96, 28102 (2006).

    Article  ADS  Google Scholar 

  24. D. Marenduzzo, E. Orlandini, J.M. Yeomans, Phys. Rev. Lett. 98, 118102 (2007).

    Article  ADS  Google Scholar 

  25. L. Giomi, M.C. Marchetti, T. Liverpool, Phys. Rev. Lett. 101, 198101 (2008).

    Article  ADS  Google Scholar 

  26. M.E. Cates, S.M. Fielding, D. Marenduzzo, E. Orlandini, J.M. Yeomans, Phys. Rev. Lett. 101, 068192 (2008).

    Article  ADS  Google Scholar 

  27. A. Sokolov, I.S. Aranson, Phys. Rev. Lett. 103, 148101 (2009).

    Article  ADS  Google Scholar 

  28. L. Giomi, T.B. Liverpool, M.C. Marchetti, Phys. Rev. E 81, 051908 (2010).

    Article  MathSciNet  ADS  Google Scholar 

  29. D. Saintillan, Phys. Rev. E 81, 056307 (2010).

    Article  ADS  Google Scholar 

  30. A. Baskaran, M.C. Marchetti, Phys. Rev. E 77, 011920 (2008).

    Article  MathSciNet  ADS  Google Scholar 

  31. A. Gopinath, M.F. Hagan, M.C. Marchetti, A. Baskaran, Phys. Rev. E 85, 061903 (2012).

    Article  ADS  Google Scholar 

  32. J. Toner, Y. Tu, S. Ramaswamy, Ann. Phys. 318, 170 (2005).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  33. H. Chaté, F. Ginelli, R. Montagne, Phys. Rev. Lett. 96, 180602 (2006).

    Article  ADS  Google Scholar 

  34. Y. Yang, V. Marceau, G. Gompper, Phys. Rev. E 82, 031904 (2010).

    Article  ADS  Google Scholar 

  35. F. Ginelli, F. Peruani, M. Bär, H. Chaté, Phys. Rev. Lett. 104, 184502 (2010).

    Article  ADS  Google Scholar 

  36. S.R. McCandlish, A. Baskaran, M.F. Hagan, Soft Matter 8, 2527 (2012).

    Article  ADS  Google Scholar 

  37. M.E. Cates, D. Marenduzzo, I. Pagonabarraga, J. Tailleur, Proc. Natl. Acad. Sci. U.S.A. 107, 11715 (2010).

    Article  ADS  Google Scholar 

  38. F. Peruani, A. Deutsch, M. Bär, Phys. Rev. E 74, 030904 (2006).

    Article  ADS  Google Scholar 

  39. A. Baskaran, M.C. Marchetti, J. Stat. Mech: Theor. Exp., P04019 (2010).

  40. H. Chaté, F. Ginelli, G. Grégoire, F. Peruani, F. Raynaud, Eur. Phys. J. B 64, 451 (2008).

    Article  ADS  Google Scholar 

  41. E. Bertin, M. Droz, G. Grégoire, Phys. Rev. E 74, 022101 (2006).

    Article  ADS  Google Scholar 

  42. E. Bertin, M. Droz, G. Grégoire, J. Phys. A: Math. Theor. 42, 445001 (2009).

    Article  ADS  Google Scholar 

  43. S. Mishra, A. Baskaran, M.C. Marchetti, Phys. Rev. E 81, 061916 (2010).

    Article  ADS  Google Scholar 

  44. R.A. Simha, S. Ramaswamy, Physica A 306, 262 (2002).

    Article  ADS  MATH  Google Scholar 

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Baskaran, A., Marchetti, M.C. Self-regulation in self-propelled nematic fluids. Eur. Phys. J. E 35, 95 (2012). https://doi.org/10.1140/epje/i2012-12095-8

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