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Effective triplet interactions in nematic colloids

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Abstract.

Three-body effective interactions emerging between parallel cylindrical rods immersed in a nematic liquid crystals are calculated within the Landau-de Gennes free-energy description. Collinear, equilateral and midplane configurations of the three colloidal particles are considered. In the last two cases the effective triplet interaction is of the same magnitude and range as the pair one.

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References

  1. J. Hafner, From Hamiltonians to Phase Diagrams (Springer, Berlin, 1987).

  2. L. Österlund, M.O. Pedersen, I. Stensgaard, E. Lægsgaard, F. Besenbacher, Phys. Rev. Lett. 83, 4812 (1999).

    Article  ADS  Google Scholar 

  3. C. Russ, H.H. von Grünberg, M. Dijkstra, R. van Roij, Phys. Rev. E 66, 011402 (2002).

    Article  ADS  Google Scholar 

  4. M. Brunner, J. Dobnikar, H.-H. von Grünberg, C. Bechinger, Phys. Rev. Lett. 92, 078301 (2004).

    Article  ADS  Google Scholar 

  5. C. Russ, M. Brunner, C. Bechinger, H.H. von Grünberg, Europhys. Lett. 69, 468 (2005).

    Article  ADS  Google Scholar 

  6. M. Dijkstra, R. van Roij, A.A. Louis, H.H. von Grünberg, preface to the special issue dedicated to The CECAM Workshop: Effective Many-Body Interactions and Correlations in Soft Matter, J. Phys.: Condens. Matter, Vol. 15, no. 48 (2003).

  7. A.-P. Hynninen, M. Dijkstra, R. van Roij, J. Phys.: Condens. Matter 15, S3549 (2003).

  8. S. Amokrane, A. Ayadim, J.G. Malherbe, J. Phys.: Condens. Matter 15, S3443 (2003).

  9. J. Dobnikar, Y. Chen, R. Rzehak, H.H. von Grünberg, J. Chem. Phys. 119, 4971 (2003).

    Article  ADS  Google Scholar 

  10. J. Dobnikar, Y. Chen, R. Rzehak, H.H. von Grünberg, J. Phys.: Condens. Matter 15, S263 (2003).

  11. C. Russ, K. Zahn, H.H. von Grünberg, J. Phys.: Condens. Matter 15, S3509 (2003).

  12. K. Zahn, G. Maret, C. Russ, H.H. von Grünberg, Phys. Rev. Lett. 91, 115502 (2003).

    Article  ADS  Google Scholar 

  13. R.W. Ruhwandl, E.M. Terentjev, Phys. Rev. E 55, 2958 (1997).

    Article  ADS  Google Scholar 

  14. T.C. Lubensky, D. Pettey, N. Currier, H. Stark, Phys. Rev. E 57, 610 (1998).

    Article  ADS  Google Scholar 

  15. D. Andrienko, M. Tasinkevych, P. Patrício, M.P. Allen, M.M. Telo da Gama, Phys. Rev. E 68, 051702 (2003).

    Article  ADS  Google Scholar 

  16. S. Ramaswamy, R. Nityananda, V.A. Raghunathan, J. Prost, Mol. Cryst. Liq. Cryst. Sci. Technol. Sect. A-Mol. Cryst. Liq. Cryst. 288, 175 (1996).

    Google Scholar 

  17. P. Poulin, H. Stark, T.C. Lubensky, D.A. Weitz, Science 275, 1770 (1997).

    Article  Google Scholar 

  18. M. Yada, J. Yamamoto, H. Yokoyama, Phys. Rev. Lett. 92, 185501 (2004).

    Article  ADS  Google Scholar 

  19. V.J. Anderson, E.M. Terentjev, S.P. Meeker, J. Crain, W.C.K. Poon, Eur. Phys. J. E 4, 11 (2001).

    Article  Google Scholar 

  20. E.M. Terentjev, Phys. Rev. E 51, 1330 (1995).

    Article  ADS  Google Scholar 

  21. O.V. Kuksenok, R.W. Ruhwandl, S.V. Shiyanovskii, E.M. Terentjev, Phys. Rev. E 54, 5198 (1996).

    Article  ADS  Google Scholar 

  22. R.W. Ruhwandl, E.M. Terentjev, Phys. Rev. E 56, 5561 (1997).

    Article  ADS  Google Scholar 

  23. H. Stark, Eur. Phys. J. B 10, 311 (1999).

    Article  ADS  Google Scholar 

  24. D. Andrienko, G. Germano, M.P. Allen, Phys. Rev. E 63, 041701 (2001).

    Article  ADS  Google Scholar 

  25. J.C. Loudet, P. Poulin, Phys. Rev. Lett. 87, 165503 (2001).

    Article  ADS  Google Scholar 

  26. G. Gupta, A.D. Rey, Phys. Rev. Lett. 95, 127802 (2005).

    Article  ADS  Google Scholar 

  27. O. Guzmán, N.L. Abbott, J.J. De Pablo, J. Polym. Sci. Part B: Polym. Phys. 43, 1033 (2004).

    Article  Google Scholar 

  28. B.I. Lev, P.M. Tomchuk, Phys. Rev. E 59, 591 (1999).

    Article  ADS  Google Scholar 

  29. J.-ichi Fukuda, B.I. Lev, K.M. Aoki, H. Yokoyama, Phys. Rev. E 66, 051711 (2002).

    Article  MathSciNet  ADS  Google Scholar 

  30. S.B. Chernyshuk, B.I. Lev, H. Yokoyama, Phys. Rev. E 71, 062701 (2005).

    Article  ADS  Google Scholar 

  31. D. Andrienko, M. Tasinkevych, S. Dietrich, Europhys. Lett. 70, 95 (2005).

    Article  ADS  Google Scholar 

  32. D. Andrienko, M. Tasinkevych, P. Patrício, M.M. Telo da Gama, Phys. Rev. E 69, 021706 (2004).

    Article  ADS  Google Scholar 

  33. J.E. Zimmer, R.L. Wetz, in Extended Abstracts of the 16th Biennial Conference on Carbon (1983) (American Carbon Society, University Park, PA, 1983) p. 92.

  34. O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu, The Finite Element Method: Its Basis and Fundamentals, 6th edition (Butterworth-Heinemann, Oxford, 2005).

  35. P.G. de Gennes, J. Prost, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1995).

  36. H.J. Coles, Mol. Cryst. Liq. Cryst. 49, 67 (1978).

    Google Scholar 

  37. S. Kralj, S. Žumer, D.W. Allender, Phys. Rev. A 43, 2943 (1991).

    Article  ADS  Google Scholar 

  38. S.V. Burylov, Y.L. Raikher, Phys. Rev. E 50, 358 (1994).

    Article  ADS  Google Scholar 

  39. N.M. Silvestre, P. Patrício, M. Tasinkevych, D. Andrienko, M.M. Telo da Gama, J. Phys.: Condens. Matter 16, S1921 (2004).

  40. D. Andrienko, M.P. Allen, G. Skacej, S. Zumer, Phys. Rev. E 65, 041702 (2002).

    Article  ADS  Google Scholar 

  41. M. Tasinkevych, N.M. Silvestre, P. Patrício, M.M. Telo da Gama, Eur. Phys. J. E 9, 341 (2003).

    Article  Google Scholar 

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Authors and Affiliations

  1. Max-Planck-Institut für Metallforschung, Heisenbergstrasse 3, 70569, Stuttgart, Germany

    M. Tasinkevych

  2. Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany

    M. Tasinkevych

  3. Max-Planck-Institut für Polymerforschung, Ackermannweg 10, 55128, Mainz, Germany

    D. Andrienko

Authors
  1. M. Tasinkevych
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  2. D. Andrienko
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Correspondence to M. Tasinkevych.

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Tasinkevych, M., Andrienko, D. Effective triplet interactions in nematic colloids. Eur. Phys. J. E 21, 277–282 (2006). https://doi.org/10.1140/epje/i2006-10065-5

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  • DOI: https://doi.org/10.1140/epje/i2006-10065-5

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