Trajectories of Colloidal Particles in Laser Fields with Eight-, Ten-, or Twelve-Fold Symmetry and Phasonic Drift

  • Matthias SandbrinkEmail author
  • Michael Schmiedeberg
Conference paper


Quasicrystals are structures with long range order but no translational symmetry. Besides phonons, quasicrystals posses additional hydrodynamic modes called phasons. In a recent article (Kromer et al., Phys. Rev. Lett. 108:218301, 2012), the trajectories of colloidal particles in a laser field with decagonal symmetry were studied when the phasonic displacement was changed. Here we generalize the results to laser fields with eight- and twelve-fold symmetry. In principle, the method can also be used to predict collective rearrangements of atoms due to phasons in intrinsic quasicrystalline systems.


Quasicrystals Phasons Colloids 



We thank J. Kromer, J. Roth, and H. Stark for helpful discussions and the Deutsche Forschungsgemeinschaft for financial support (Schm 2657/2 and Ro 924/5).


  1. 1.
    Ashkin A (1970) Phys Rev Lett 24:156 CrossRefGoogle Scholar
  2. 2.
    Ashkin A (1980) Science 210:1081 CrossRefGoogle Scholar
  3. 3.
    Bohlein T, Bechinger C (2012) Phys Rev Lett 109:058301 CrossRefGoogle Scholar
  4. 4.
    Burns MM, Fournier JM, Golovchenko JA (1990) Science 249:749 CrossRefGoogle Scholar
  5. 5.
    Gorkhali S, Qi J, Crawford G (2006) J Opt Soc Am B 23:149 CrossRefGoogle Scholar
  6. 6.
    Henley CL, de Boissieu M, Steurer W (2006) Philos Mag 86:1131 CrossRefGoogle Scholar
  7. 7.
    Kromer JA, Schmiedeberg M, Roth J, Stark H (2012) Phys Rev Lett 108:218301 CrossRefGoogle Scholar
  8. 8.
    Levine D, Lubensky TC, Ostlund S, Ramaswamy S, Steinhardt PJ, Toner J (1985) Phys Rev Lett 54:1520 CrossRefGoogle Scholar
  9. 9.
    Levine D, Steinhardt PJ (1984) Phys Rev Lett 53:2477 CrossRefGoogle Scholar
  10. 10.
    Löwen H (2001) J Phys Condens Matter 13:R415 CrossRefGoogle Scholar
  11. 11.
    Mikhael J, Gera G, Bohlein T, Bechinger C (2011) Soft Matter 7:1352 CrossRefGoogle Scholar
  12. 12.
    Mikhael J, Schmiedeberg M, Rausch S, Roth J, Stark H, Bechinger C (2010) Proc Natl Acad Sci USA 107:7214 CrossRefGoogle Scholar
  13. 13.
    Reichhardt C, Olson Reichhardt CJ (2011) Phys Rev Lett 106:060603 CrossRefGoogle Scholar
  14. 14.
    Schmiedeberg M, Mikhael J, Rausch S, Roth J, Helden L, Bechinger C, Stark H (2010) Eur Phys J E 32:25 CrossRefGoogle Scholar
  15. 15.
    Schmiedeberg M, Roth J, Stark H (2007) Eur Phys J E 24:367 CrossRefGoogle Scholar
  16. 16.
    Schmiedeberg M, Stark H (2008) Phys Rev Lett 101:218302 CrossRefGoogle Scholar
  17. 17.
    Schmiedeberg M, Stark H (2012) J Phys Condens Matter 24:284101 CrossRefGoogle Scholar
  18. 18.
    Shechtman D, Blech I, Gratias D, Cahn JW (1984) Phys Rev Lett 53:1951 CrossRefGoogle Scholar

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© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Institut für Theoretische Physik 2: Weiche MaterieHeinrich-Heine-Universität DüsseldorfDüsseldorfGermany

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