The European Physical Journal Special Topics

, Volume 222, Issue 11, pp 3011–3022 | Cite as

Confined colloidal crystals in and out of equilibrium

  • A. Reinmüller
  • E. C. Oğuz
  • R. Messina
  • H. Löwen
  • H. J. Schöpe
  • T. Palberg
Review Confining Geometries

Abstract

Recent studies on confined crystals of charged colloidal particles are reviewed, both in equilibrium and out of equilibrium. We focus in particular on direct comparisons of experiments (light scattering and microscopy) with lattice sum calculations and computer simulations. In equilibrium we address buckling and crystalline multilayering of charged systems in hard and soft slit confinement. We discuss also recent crystalline structures obtained for charged mixtures. Moreover we put forward possibilities to apply external perturbations, in order to drive the system out of equilibrium. These include electrolyte gradients as well as the application of shear and electric fields.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    H. Löwen, Phys. Rep. 237, 249 (1994)ADSCrossRefGoogle Scholar
  2. 2.
    H. Löwen, E.C. Oğuz, L. Assoud, R. Messina, Advances in Chem. Phys. 148, 225 (2012)Google Scholar
  3. 3.
    H.J. Schöpe, A.B. Fontecha, H. König, J.M. Hueso, R. Biehl, Langmuir 22, 1828 (2006)CrossRefGoogle Scholar
  4. 4.
    A. Fontecha, T. Palberg, H.J. Schöpe, Phys. Rev. E 76, 050402(R) (2007)ADSCrossRefGoogle Scholar
  5. 5.
    A.B. Fontecha, H.J. Schöpe, Phys. Rev. E 77, 061401 (2008)ADSCrossRefGoogle Scholar
  6. 6.
    S.W.S. Apolinario, B. Partoens, F.M. Peeters, Phys. Rev. E 74, 031107 (2006)ADSCrossRefGoogle Scholar
  7. 7.
    M. Brunner, C. Bechinger, Phys. Rev. Lett. 88, 248302 (2002)ADSCrossRefGoogle Scholar
  8. 8.
    C. Reichhardt, C.J. Olson, Phys. Rev. Lett. 88, 248301 (2002)ADSCrossRefGoogle Scholar
  9. 9.
    A. Fortini, M. Dijkstra, J. Phys.: Condens. Matter 18, L371 (2006)ADSCrossRefGoogle Scholar
  10. 10.
    W. Qi, A.P. Gantapara, M. Dijkstra, [arXiv preprint] [arXiv:1307.1311] (2013)
  11. 11.
    S.A. Rice, Chem. Phys. Lett. 479, 1 (2009)MathSciNetADSCrossRefGoogle Scholar
  12. 12.
    E.C. Oğuz, R. Messina, H. Löwen, J. Phys.: Condens. Matter 21, 424110 (2009)CrossRefGoogle Scholar
  13. 13.
    C.A. Murray, W.O. Sprenger, R.A. Wenk, Phys. Rev. B 42, 688 (1990)ADSCrossRefGoogle Scholar
  14. 14.
    E.C. Oğuz, R. Messina, H. Löwen, Europhys. Lett. 86, 28002 (2009)ADSCrossRefGoogle Scholar
  15. 15.
    P. Pieranski, L. Strzelecki, B. Pansu, Phys. Rev. Lett. 50, 900 (1983)ADSCrossRefGoogle Scholar
  16. 16.
    V.A. Schweigert, F.M. Peeters, Phys. Rev. Lett. 82, 5293 (1999)ADSCrossRefGoogle Scholar
  17. 17.
    R. Messina, H. Löwen, Phys. Rev. Lett. 91, 146101 (2003)ADSCrossRefGoogle Scholar
  18. 18.
    A.B. Fontecha, H.J. Schöpe, H. König, T. Palberg, R. Messina, H. Löwen, J. Phys.: Condens. Matter 17, S2779 (2005)CrossRefGoogle Scholar
  19. 19.
    H. Löwen, J. Phys.: Condens. Matter 13, R415 (2001)CrossRefGoogle Scholar
  20. 20.
    E. Villanova-Vidal, T. Palberg, H. Schöpe, H. Löwen, Philos. Mag. 89, 1695 (2009)ADSCrossRefGoogle Scholar
  21. 21.
    H.J. Schöpe, J. Phys.: Condens. Matter 15, L533 (2003)CrossRefGoogle Scholar
  22. 22.
    J. Marqués-Hueso, H.J. Schöpe, Regular Horizontal Patterning on Colloidal Crystals Produced by Vertical Deposition, in Surface and Interfacial Forces – From Fundamentals to Applications, edited by G. K. Auernhammer, H.-J. Butt, D. Vollmer, Vol. 134 of Progress in Colloid and Polymer Science (Springer Berlin Heidelberg, 2008), p. 48Google Scholar
  23. 23.
    J. Chakrabarti, H.R. Krishnamurthy, A.K. Sood, S. Sengupta, Phys. Rev. Lett. 75, 2232 (1995)ADSCrossRefGoogle Scholar
  24. 24.
    C. Bechinger, M. Brunner, P. Leiderer, Phys. Rev. Lett. 86, 930 (2001)ADSCrossRefGoogle Scholar
  25. 25.
    W. Strepp, S. Sengupta, P. Nielaba, Phys. Rev. E 66, 056109 (2002)ADSCrossRefGoogle Scholar
  26. 26.
    A. Resnick, J. Colloid Interface Sci. 262, 55 (2003)CrossRefGoogle Scholar
  27. 27.
    M. Brunner, J. Dobnikar, H.-H. von Grünberg, C. Bechinger, Phys. Rev. Lett. 92, 078301 (2004)ADSCrossRefGoogle Scholar
  28. 28.
    J. Mikhael, J. Roth, L. Helden, C. Bechinger, Nature 454, 501 (2008)ADSCrossRefGoogle Scholar
  29. 29.
    M. Schmiedeberg, H. Stark, Phys. Rev. Lett. 101, 218302 (2008)ADSCrossRefGoogle Scholar
  30. 30.
    M. Schmiedeberg, J. Roth, H. Stark, Eur. Phys. J. E 24, 367 (2007)CrossRefGoogle Scholar
  31. 31.
    J.P. Hansen, H. Löwen, Ann. Rev. Phys. Chem. 51, 209 (2000)ADSCrossRefGoogle Scholar
  32. 32.
    H. Löwen, A. Härtel, A. Barreira-Fontecha, H.J. Schöpe, E. Allahyarov, T. Palberg, J. Phys.: Condens. Matter 20, 404221 (2008)CrossRefGoogle Scholar
  33. 33.
    E.C. Oğuz, A. Reinmüller, H.J. Schöpe, T. Palberg, R. Messina, H. Löwen, J. Phys.: Condens. Matter 24, 464123 (2012)CrossRefGoogle Scholar
  34. 34.
    T. Curk, A. de Hoogh, F.J. Martinez-Veracoechea, E. Eiser, D. Frenkel, J. Dobnikar, M.E. Leunissen, Phys. Rev. E 85, 021502 (2012)ADSCrossRefGoogle Scholar
  35. 35.
    A. Reinmüller, T. Palberg, H.J. Schöpe, Rev. Sci. Instrum. 84, 063907 (2013)ADSCrossRefGoogle Scholar
  36. 36.
    D. Andelman, Structure and Dynamics of Membranes, in Handbook of biological physics, edited by R. Lipowsky, E. Sackmann, Vol. 1A (Elsevier, 1995)Google Scholar
  37. 37.
    M. Schmidt, H. Löwen, Phys. Rev. Lett. 76, 4552 (1996)ADSCrossRefGoogle Scholar
  38. 38.
    M. Schmidt, H. Löwen, Phys. Rev. E 55, 7228 (1997)ADSCrossRefGoogle Scholar
  39. 39.
    E.P. Bernard, W. Krauth, Phys. Rev. Lett. 107, 155704 (2011)ADSCrossRefGoogle Scholar
  40. 40.
    Y. Peng, Z. Wang, A.M. Alsayed, A.G. Yodh, Y. Han, Phys. Rev. Lett. 104, 205703 (2010)ADSCrossRefGoogle Scholar
  41. 41.
    M. Engel, J.A. Anderson, S.C. Glotzer, M. Isobe, E.P. Bernard, W. Krauth, Phys. Rev. E 87, 042134 (2013)ADSCrossRefGoogle Scholar
  42. 42.
    T. Franosch, S. Lang, R. Schilling, Phys. Rev. Lett. 109, 240601 (2012)ADSCrossRefGoogle Scholar
  43. 43.
    A. Ivlev, H. Löwen, G. Morfill, C.P. Royall, Complex Plasmas and Colloidal Dispersions: Particle-Resolved Studies of Classical Liquids and Solids, Series in Soft Condensed Matter (World Scientific, 2012)Google Scholar
  44. 44.
    E.C. Oğuz, M. Marechal, F. Ramiro-Manzano, I. Rodriguez, R. Messina, F.J. Meseguer, H. Löwen, Phys. Rev. Lett. 109, 218301 (2012)ADSCrossRefGoogle Scholar
  45. 45.
    D. Wilms, A. Winkler, P. Virnau, K. Binder, Phys. Rev. Lett. 105, 045701 (2010)ADSCrossRefGoogle Scholar
  46. 46.
    G.T. Pickett, M. Gross, H. Okuyama, Phys. Rev. Lett. 85, 3652 (2000)ADSCrossRefGoogle Scholar
  47. 47.
    E.C. Oğuz, R. Messina, H. Löwen, Europhys. Lett. 94, 28005 (2011)ADSCrossRefGoogle Scholar
  48. 48.
    R. Evans, An Introduction to Crystal Chemistry (Cambridge Univ. Press, London and New York, 1966)Google Scholar
  49. 49.
    M.E. Leunissen, C.G. Christova, A.-P. Hynninen, C.P. Royall, A.I. Campbell, A. Imhof, M. Dijkstra, R. van Roij, A. van Blaaderen, Nature 437, 235 (2005)ADSCrossRefGoogle Scholar
  50. 50.
    A.-P. Hynninen, C.G. Christova, R. van Roij, A. van Blaaderen, M. Dijkstra, Phys. Rev. Lett. 96, 138308 (2006)ADSCrossRefGoogle Scholar
  51. 51.
    A.-P. Hynninen, M.E. Leunissen, A. van Blaaderen, M. Dijkstra, Phys. Rev. Lett. 96, 018303 (2006)ADSCrossRefGoogle Scholar
  52. 52.
    L. Assoud, R. Messina, H. Löwen, Europhys. Lett. 89, 36001 (2010)ADSCrossRefGoogle Scholar
  53. 53.
    G.K. Kaufman, S.W. Thomas III, M. Reches, B.F. Shaw, J. Feng, G.M. Whitesides, Soft Matter 5, 1188 (2009)ADSCrossRefGoogle Scholar
  54. 54.
    A. Reinmüller, H.J. Schöpe, T. Palberg, Soft Matter 6, 5312 (2010)ADSCrossRefGoogle Scholar
  55. 55.
    A. Engelbrecht, R. Meneses, H. J. Schöpe, Soft Matter 7, 5685 (2011)ADSCrossRefGoogle Scholar
  56. 56.
    P. Wette, A. Engelbrecht, R. Salh, I. Klassen, M. Dirk, D.M. Herlach, S.V. Roth, H.J. Schöpe, J. Phys.: Condens. Matter 21, 464115 (2009)ADSCrossRefGoogle Scholar
  57. 57.
    T. Palberg, M.R. Maaroufi, A. Stipp, H.J. Schöpe, J. Chem. Phys. 137, 094906 (2012)ADSCrossRefGoogle Scholar
  58. 58.
    R. Messina, H. Löwen, Phys. Rev. E 73, 011405 (2006)ADSCrossRefGoogle Scholar
  59. 59.
    G.-L. He, R. Messina, H. Löwen, J. Chem. Phys. 132, 124903 (2010)ADSCrossRefGoogle Scholar
  60. 60.
    G.-L. He, R. Messina, H. Löwen, Europhys. Lett. 93, 18002 (2011)ADSCrossRefGoogle Scholar
  61. 61.
    E. Allahyarov, P.L. Taylor, H. Löwen, J. Phys.: Condens. Matter 23, 455102 (2011)ADSCrossRefGoogle Scholar
  62. 62.
    A. Reinmüller, E.C. Oğuz, R. Messina, H. Löwen, H.J. Schöpe, T. Palberg, J. Chem. Phys. 136, 164505 (2012)ADSCrossRefGoogle Scholar
  63. 63.
    A. Reinmüller, H.J. Schöpe, T. Palberg, Langmuir 29, 1738 (2013)CrossRefGoogle Scholar
  64. 64.
    K.R. Sütterlin, A. Wysocki, A.V. Ivlev, C. Raeth, H.M. Thomas, M. Rubin-Zuzic, W.J. Goedheer, V.E. Fortov, A.M. Lipaev, V.I. Molotkov, O.F. Petrov, G.E. Morfill, H. Löwen, Phys. Rev. Lett. 102, 085003 (2009)ADSCrossRefGoogle Scholar
  65. 65.
    J. Dzubiella, G.P. Hoffmann, H. Löwen, Phys. Rev. E 65, 021402 (2002)ADSCrossRefGoogle Scholar
  66. 66.
    H. Löwen, Soft Matter 6, 3133 (2010)ADSCrossRefGoogle Scholar
  67. 67.
    T. Vissers, A. Wysocki, M. Rex, H. Löwen, C.P. Royall, A. Imhof, A. van Blaaderen, Soft Matter 7, 2352 (2011)ADSCrossRefGoogle Scholar
  68. 68.
    D. Long, A. Ajdari, Eur. Phys. J. E 4, 29 (2001)CrossRefGoogle Scholar
  69. 69.
    M. Rex, H. Löwen, Eur. Phys. J. E 26, 143 (2008)CrossRefGoogle Scholar
  70. 70.
    S. van Teeffelen, C.N. Likos, H. Löwen, Phys. Rev. Lett. 100, 108302 (2008)ADSCrossRefGoogle Scholar
  71. 71.
    P. Español, H. Löwen, J. Chem. Phys 131, 244101 (2009)ADSCrossRefGoogle Scholar
  72. 72.
    H. Emmerich, H. Löwen, R. Wittkowski, T. Gruhn, G.I. Tóth, G. Tegze, L. Gránásy, Adv. Phys. 61, 665 (2012)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • A. Reinmüller
    • 1
  • E. C. Oğuz
    • 2
  • R. Messina
    • 3
  • H. Löwen
    • 2
  • H. J. Schöpe
    • 4
  • T. Palberg
    • 1
  1. 1.Institut für PhysikJohannes-Gutenberg-Universität MainzMainzGermany
  2. 2.Institut für Theoretische Physik II: Weiche MaterieHeinrich-Heine-Universität DüsseldorfDüsseldorfGermany
  3. 3.Institut de Chimie, Physique et Matériaux (ICPM)Université de LorraineMetz Cedex 3France
  4. 4.Max-Planck-Institut für PolymerforschungMainzGermany

Personalised recommendations