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Anisotropic diffusion of a magnetically torqued ellipsoidal microparticle

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Abstract

We study the dynamics of an overdamped paramagnetic ellipsoidal particle confined above a plane and subjected to an external rotating magnetic field. Without magnetic forcing, the Brownian ellipsoid exhibits a crossover from a short time anisotropic diffusion to a long time isotropic one. Application of an external static or rotating magnetic field enables controlling and varying the crossover time depending on the field frequency and amplitude. We combine analytical results and numerical simulations in order to explore the diffusive properties of the forced ellipsoid.

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References

  1. A. Einstein, Ann. Phys. 17, 549 (1902)

    Google Scholar 

  2. A. Einstein, Ann. Phys. 19, 289 (1906)

    Article  Google Scholar 

  3. F. Perrin, J. Phys. Radium V, 497 (1934)

    Article  Google Scholar 

  4. F. Perrin, J. Phys. Radium VII, 1 (1936)

    Article  Google Scholar 

  5. S. Prager, J. Chem. Phys. 23, 12 (1955)

    Google Scholar 

  6. D.L. Fan, F.Q. Zhu, R.C. Cammarata, C.L. Chien, Phys. Rev. Lett. 94, 247208 (2005)

    Article  ADS  Google Scholar 

  7. P. Tierno, T.H. Johansen, T.M. Fischer, J. Phys. Chem. B 111, 3077 (2007)

    Article  Google Scholar 

  8. L.-H. Lu, K.S. Ryu, C.J. Liu, Micromech. Syst. 11, 462 (2002)

    Article  Google Scholar 

  9. P. Dhar, Y. Cao, T.M. Fischer, J.A. Zasadzinski, Phys. Rev. Lett. 104, 016001 (2010)

    Article  ADS  Google Scholar 

  10. Y. Han, A.M. Alsayed, M. Nobili, J. Zhang, T.C. Lubensky, A.G. Yodh, Science 314, 626 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  11. Y. Han, A. Alsayed, M. Nobili, A.G. Yodh, Phys. Rev. E 80, 011403 (2009)

    Article  ADS  Google Scholar 

  12. C. Ribrault, A. Triller, K. Sekimoto, Phys. Rev. E 75, 021112 (2007)

    Article  ADS  Google Scholar 

  13. T. Munk, F. Hofling, E. Frey, T. Franosch, EPL 85, 30003 (2009)

    Article  ADS  Google Scholar 

  14. R. Grima, S.N. Yaliraki, J. Chem. Phys. 127, 084511 (2007)

    Article  ADS  Google Scholar 

  15. F. Hofling, E. Frey, T. Franosch, Phys. Rev. Lett. 101, 120605 (2008)

    Article  ADS  Google Scholar 

  16. A.J. Moreno, W. Kob, Europhys. Lett. 67, 820 (2004)

    Article  ADS  Google Scholar 

  17. M.X. Fernandes, J.G. de la Torre, Biophys. J. 83, 3039 (2002)

    Article  ADS  Google Scholar 

  18. P. Tierno, J. Claret, F. Sagués, Andrejs Cebers, Phys. Rev. E 79, 021501 (2009)

    Article  ADS  Google Scholar 

  19. K. Erglis, Q. Wen, V. Ose, A. Zeltins, A. Sharipo, P.A. Janmey, A. Cebers Biophys. J. 93, 1402 (2007)

    Article  Google Scholar 

  20. R.L. Honeycutt, Phys. Rev. A 45, 600 (1992)

    Article  ADS  Google Scholar 

  21. A.C. Branka, D.M. Heyes, Phys. Rev. E 58, 2611 (1998)

    Article  ADS  Google Scholar 

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Güell, O., Tierno, P. & Sagués, F. Anisotropic diffusion of a magnetically torqued ellipsoidal microparticle. Eur. Phys. J. Spec. Top. 187, 15–20 (2010). https://doi.org/10.1140/epjst/e2010-01266-3

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  • DOI: https://doi.org/10.1140/epjst/e2010-01266-3

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