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Dynamics of a deformable self-propelled particle under external forcing

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  • Statistical and Nonlinear Physics
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Abstract

We investigate dynamics of a deformable self-propelled particle under external fields in two dimensions based on the time-evolution equations for the center of mass and a tensor variable characterizing deformations. We consider two kinds of external force. One is a gravitational force which enters additively in the time-evolution equation for the center of mass. The other is an electric force supposing that a dipole moment is induced in the particle. This force is added to the equation for the deformation tensor. It is shown that a rich variety of dynamics appears by changing the strength of the forces and the migration velocity of a self-propelled particle. A theoretical analysis is carried out to clarify the dynamics and the bifurcations.

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References

  1. K. Keren, Z. Pincus, G.M. Allen, E.L. Barnhart, G. Marriott, A. Mogilner, J.A. Theriot, Nature 453, 475 (2008)

    Article  ADS  Google Scholar 

  2. L. Bosgraaf, P.J.M. Van Haastert, PLoS ONE 4, e5253 (2009)

    Article  ADS  Google Scholar 

  3. L. Li, S.F. Norrelykke, E.C. Cox, PLoS ONE 3, e2093 (2008)

    Article  ADS  Google Scholar 

  4. Y.T. Maeda, J. Inoue, M.Y. Matsuo, S. Iwaya, M. Sano, PLoS ONE 3, e3734 (2008)

    Article  ADS  Google Scholar 

  5. H. Wada, R.R. Netz, Phys. Rev. E 80, 021921 (2009)

    Article  ADS  Google Scholar 

  6. T. Ishikawa, J.R. Soc. Interface 6, 815 (2009)

    Article  Google Scholar 

  7. S. Günther, K. Kruse, Europhys. Lett. 84, 68002 (2008)

    Article  ADS  Google Scholar 

  8. H.C. Fu, C.W. Wolgemuth, T.R. Powers, Phys. Fluids 21, 033102 (2009)

    Article  ADS  Google Scholar 

  9. G.P. Alexander, J.M. Yeomans, Europhys. Lett. 83, 34006 (2008)

    Article  ADS  Google Scholar 

  10. K. Nagai, Y. Sumino, H. Kitahata, K. Yoshikawa, Phys. Rev. E 71, R065301 (2005)

    Article  ADS  Google Scholar 

  11. T. Toyota, N. Maru, M.M. Hanczyc, T. Ikegami, T. Sugawara, J. Am. Chem. Soc. 131, 5012 (2009)

    Article  Google Scholar 

  12. P. Tierno, O. Güell, F. Sagués, R. Golestanian, I. Pagonabarraga, Phys. Rev. E 81, 011402 (2010)

    Article  ADS  Google Scholar 

  13. Y.-G. Tao, R. Kapral, J. Chem. Phys. 131, 024113 (2009)

    Article  ADS  Google Scholar 

  14. Y.-G. Tao, R. Kapral, Soft Matter 6, 756 (2010)

    Article  ADS  Google Scholar 

  15. Y. Wang, S.-T. Fei, Y.-M. Byun, P.E. Lammert, V.H. Crespi, A. Sen, T.E. Mallouk, J. Am. Chem. Soc. 131, 9926 (2009)

    Article  Google Scholar 

  16. H.R. Jiang, N. Yoshinaga, M. Sano, Phys. Rev. Lett. 105, 268302 (2010)

    Article  ADS  Google Scholar 

  17. T.M. Squires, M.Z. Bazant, J. Fluid Mech. 560, 65 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. H. Ke, S. Ye, R.L. Carroll, K. Showalter, J. Phys. Chem. A 114, 5462 (2010)

    Article  Google Scholar 

  19. S.J. Ebbens, J.R. Howse, Soft Matter 6, 726 (2010)

    Article  ADS  Google Scholar 

  20. T. Ohta, T. Ohkuma, Phys. Rev. Lett. 102, 154101 (2009)

    Article  ADS  Google Scholar 

  21. K. Krischer, A. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994)

    Article  ADS  Google Scholar 

  22. T. Ohta, T. Ohkuma, K. Shitara, Phys. Rev. E 80, 056203 (2009)

    Article  ADS  Google Scholar 

  23. K. Shitara, T. Hiraiwa, T. Ohta, Phys. Rev. E 83, 066208 (2011)

    Article  ADS  Google Scholar 

  24. T. Hiraiwa, M.Y. Matsuo, T. Ohkuma, T. Ohta, M. Sano, Europhys. Lett. 91, 20001 (2010)

    Article  ADS  Google Scholar 

  25. T. Hiraiwa, K. Shitara, T. Ohta, Soft Matter 7, 3083 (2011)

    Article  ADS  Google Scholar 

  26. S. Teeffelen, U. Zimmermann, H. Löwen, Soft Matter 5, 4510 (2009)

    Article  ADS  Google Scholar 

  27. A. Shapere, F. Wilczek, Phys. Rev. Lett. 58, 2051 (1987)

    Article  ADS  Google Scholar 

  28. H. Boukellal, O. Campas, J.-F. Joanny, J. Prost, C. Sykes, Phys. Rev. E 69, 061906 (2004)

    Article  ADS  Google Scholar 

  29. S.I. Nishimura, M. Ueda, M. Sasai, PLoS Comput. Biol. 5, e1000310 (2009)

    Article  Google Scholar 

  30. Y. Ho Na, K. Aida, R. Sakai, T. Kikuchi, H. Orihara, Phys. Rev. E 80, 061803 (2009)

    Article  ADS  Google Scholar 

  31. A. Bagorda, C.A. Parents, J. Cell Sci. 121, 2621 (2008)

    Article  Google Scholar 

  32. G. Jekely, Phil. Trans. R. Soc. B 364, 2795 (2009)

    Article  Google Scholar 

  33. J. Tailleur, M.E. Cates, Europhys. Lett. 86, 60002 (2009)

    Article  ADS  Google Scholar 

  34. M. Boehmer, Q. Van, I. Weyand, V. Hagen, M. Beyermann, M. Matsumoto, M. Hoshi, E. Hildebrand, U.B. Kaupp, EMBO J. 24, 2741 (2005)

    Article  Google Scholar 

  35. B.M. Friedrich, F. Juelicher, Proc. Natl. Acad. Sci. USA 104, 13256 (2007)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Kyoto University, 606-8502, Kyoto, Japan

    M. Tarama & T. Ohta

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  1. M. Tarama
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  2. T. Ohta
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Correspondence to T. Ohta.

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Tarama, M., Ohta, T. Dynamics of a deformable self-propelled particle under external forcing. Eur. Phys. J. B 83, 391 (2011). https://doi.org/10.1140/epjb/e2011-20307-7

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  • DOI: https://doi.org/10.1140/epjb/e2011-20307-7

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