Spontaneous nematic polarisation and deformation in active media

Abstract

We explore two minimal macroscopic continuous models with feedback interactions inducing spontaneous nematic polarisation and mechanical deformation of the active medium. In the model based on direct feedback between deformation and ordering, linear stability analysis predicts transition to a uniform deformed nematic state but ordering is frustrated in a constrained geometry. In the model mediated by an active or controlling species, transition to either stationary or wave patterns, depending on the sign of interaction coefficients, is predicted by linear analysis and confirmed by numerical simulations.

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References

  1. 1.

    F. Jülicher, K. Kruse, J. Prost, J.-F. Joanny, Phys. Reports 449, 3 (2007)

    Article  ADS  Google Scholar 

  2. 2.

    P.G. de Gennes, J. Prost, The Physics of Liquid Crystals (Oxford University Press, Oxford, UK, 1993)

  3. 3.

    A.D. Rey, Soft Matter 6, 3402 (2010)

    Article  ADS  Google Scholar 

  4. 4.

    M.H. Köpf, L.M. Pismen, Eur. Phys. J. E 36, 121 (2013)

    Article  Google Scholar 

  5. 5.

    M.H. Köpf, L.M. Pismen, Soft Matter 9, 3727 (2013)

    Article  ADS  Google Scholar 

  6. 6.

    M.H. Köpf, L.M. Pismen, Physica D 259, 48 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  7. 7.

    T.J. Mitchison, G.T. Charras, L. Mahadevan, Seminars Cell Devel. Biol. 19, 215 (2008)

    Article  Google Scholar 

  8. 8.

    M. Radszuweit, S. Alonso, H. Engel, M. Bär, Phys. Rev. Lett. 110, 138102 (2013)

    Article  ADS  Google Scholar 

  9. 9.

    M.L. Gardel, J.H. Shin, F.C. MacKintosh, L. Mahadevan, P. Matsudaira, D.A. Weitz, Science 304, 1301 (2004)

    Article  ADS  Google Scholar 

  10. 10.

    Y. Matsubayashi, M. Ebisuya, S. Honjoh, E. Nishida, Curr. Biol. 14, 731 (2004)

    Article  Google Scholar 

  11. 11.

    R. Fernandez-Gonzalez, S. de Matos Simoes, J.-C. Röper, S. Eaton, J. Zallen, Developmental Cell 17, 736 (2009)

    Article  Google Scholar 

  12. 12.

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

    Article  ADS  Google Scholar 

  13. 13.

    J.P. Boyd, Chebyshev and Fourier Spectral Methods, 2nd edition (Dover, New York, 2000)

  14. 14.

    W.H. Press, Numerical Recipes in C (Cambridge University Press, Cambridge, 1999)

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Correspondence to L. M. Pismen.

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Pismen, L.M., Köpf, M.H. Spontaneous nematic polarisation and deformation in active media. Eur. Phys. J. Spec. Top. 223, 1247–1257 (2014). https://doi.org/10.1140/epjst/e2014-02188-8

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Keywords

  • European Physical Journal Special Topic
  • Linear Stability Analysis
  • Actin Network
  • Direct Feedback
  • Macroscopic Description