Advertisement

The European Physical Journal Special Topics

, Volume 222, Issue 11, pp 3023–3037 | Cite as

Differently shaped hard body colloids in confinement: From passive to active particles

  • H. H. Wensink
  • H. Löwen
  • M. Marechal
  • A. Härtel
  • R. Wittkowski
  • U. Zimmermann
  • A. Kaiser
  • A. M. Menzel
Review Confining Geometries

Abstract

We review recent progress in the theoretical description of anisotropic hard colloidal particles. The shapes considered range from rods and dumbbells to rounded cubes, polyhedra to biaxial particles with arbitrary shape. Our focus is on both static and dynamical density functional theory and on computer simulations. We describe recent results for the structure, dynamics and phase behaviour in the bulk and in various confining geometries, e.g. established by two parallel walls which reduce the dimensionality of the system to two dimensions. We also include recent theoretical modelling for active particles, which are autonomously driven by some intrinsic motor, and highlight their fascinating nonequilibrium dynamics and collective behaviour.

Keywords

European Physical Journal Special Topic Colloidal Dispersion Packing Fraction Brownian Dynamic Anisotropic Particle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    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
  2. 2.
    R. Wittkowski, H. Löwen, Mol. Phys. 109, 2935 (2011)ADSGoogle Scholar
  3. 3.
    S.C. Glotzer, M.J. Solomon, Nature Mater. 6, 557 (2007)Google Scholar
  4. 4.
    J.K.G. Dhont, An Introduction to the Dynamics of Colloids (Elsevier, 2003)Google Scholar
  5. 5.
    H. Löwen, Phys. Rev. E 50, 1232 (1994)ADSGoogle Scholar
  6. 6.
    F. Perrin, J. Phys. Radium 5, 497 (1934)Google Scholar
  7. 7.
    H. Löwen, J. Phys.: Condens. Matter 13, R415 (2001)Google Scholar
  8. 8.
    R.P.A. Dullens, D.G.A.L. Aarts, W.K. Kegel, Phys. Rev. Lett. 97, 228301 (2006)ADSGoogle Scholar
  9. 9.
    K. Sandomirski, E. Allahyarov, H. Löwen, S.U. Egelhaaf, Soft Matter 7, 8050 (2011)ADSGoogle Scholar
  10. 10.
    S. Neser, C. Bechinger, P. Leiderer, T. Palberg, Phys. Rev. Lett. 79, 2348 (1997)ADSGoogle Scholar
  11. 11.
    J.P. Hoogenboom, A.K. van Langen-Suurling, J. Romijn, A. van Blaaderen, Phys. Rev. Lett. 90, 138301 (2003)ADSGoogle Scholar
  12. 12.
    R.D.L. Hanes, C. Dalle-Ferrier, M. Schmiedeberg, M.C. Jenkins, S.U. Egelhaaf, Soft Matter 8, 2714 (2012)ADSGoogle Scholar
  13. 13.
    F. Evers, R.D.L. Hanes, C. Zunke, R.F. Capellmann, J. Bewerunge, C. Dalle-Ferrier, M.C. Jenkins, I. Ladadwa, A. Heuer, R. Castañeda Priego, S.U. Egelhaaf, Eur. Phys. J. Special Topics 222(11), 2995 (2013)ADSGoogle Scholar
  14. 14.
    H.H. Wensink, R.L.C. Vink, J. Phys.: Condens. Matter 19, 466109 (2007)ADSGoogle Scholar
  15. 15.
    H.H. Wensink, J. Chem. Phys. 126, 194901 (2007)ADSGoogle Scholar
  16. 16.
    A.D. Virgiliis, R.L.C. Vink, J. Horbach, K. Binder, EPL 77, 60002 (2007)Google Scholar
  17. 17.
    R.L.C. Vink, Phys. Rev. Lett. 98, 217801 (2007)ADSGoogle Scholar
  18. 18.
    J.M. Brader, R.L.C. Vink, J. Phys.: Condens. Matter 19, 036101 (2007)ADSGoogle Scholar
  19. 19.
    C.P. Royall, J. Dzubiella, M. Schmidt, A. van Blaaderen, Phys. Rev. Lett. 98, 188304 (2007)ADSGoogle Scholar
  20. 20.
    D. van der Beek, H. Reich, P. van der Schoot, M. Dijkstra, T. Schilling, R. Vink, M. Schmidt, R. van Roij, H.N.W. Lekkerkerker, Phys. Rev. Lett. 97, 087801 (2006)ADSGoogle Scholar
  21. 21.
    R.L.C. Vink, T. Neuhaus, H. Löwen, J. Chem. Phys. 134, 204907 (2011)ADSGoogle Scholar
  22. 22.
    P. Dillmann, G. Maret, P. Keim, Eur. Phys. J. Special Topics 222(11), 2941 (2013)ADSGoogle Scholar
  23. 23.
    J. Bleibel, A. Domínguez, M. Oettel, Eur. Phys. J. Special Topics 222(11), 3071 (2013)ADSGoogle Scholar
  24. 24.
    P. Romanczuk, M. Bär, W. Ebeling, B. Lindner, L. Schimansky-Geier, Eur. Phys. J. Special Topics 202, 1 (2012)ADSGoogle Scholar
  25. 25.
    M.E. Cates, Rep. Prog. Phys. 75, 042601 (2012)ADSGoogle Scholar
  26. 26.
    M.C. Marchetti, J.F. Joanny, S. Ramaswamy, T.B. Liverpool, J. Prost, M. Rao, R.A. Simha, Rev. Mod. Phys. 85, 1143 (2013)ADSGoogle Scholar
  27. 27.
    A. Erbe, M. Zientara, L. Baraban, C. Kreidler, P. Leiderer, J. Phys.: Condens. Matter 20, 404215 (2008)Google Scholar
  28. 28.
    G. Volpe, I. Buttinoni, D. Vogt, H.-J. Kümmerer, C. Bechinger, Soft Matter 7, 8810 (2011)ADSGoogle Scholar
  29. 29.
    F. Kümmel, B. ten Hagen, R. Wittkowski, I. Buttinoni, R. Eichhorn, G. Volpe, H. Löwen, C. Bechinger, Phys. Rev. Lett. 110, 198302 (2013)ADSGoogle Scholar
  30. 30.
    I. Buttinoni, J. Bialké, F. Kümmel, H. Löwen, C. Bechinger, T. Speck, Phys. Rev. Lett. 110, 238301 (2013)ADSGoogle Scholar
  31. 31.
    H.H. Wensink, J. Dunkel, S. Heidenreich, K. Drescher, R. E. Goldstein, H. Löwen, J.M. Yeomans, Proc. Natl. Acad. Sci. USA 109, 14308 (2012)ADSGoogle Scholar
  32. 32.
    A. Härtel, H. Löwen, J. Phys.: Condens. Matter 22, 104112 (2010)ADSGoogle Scholar
  33. 33.
    P. Cremer, M. Marechal, H. Löwen, EPL 99, 38005 (2012)ADSGoogle Scholar
  34. 34.
    M. Marechal, H.H. Goetzke, A. Härtel, H. Löwen, J. Chem. Phys. 135, 234510 (2011)ADSGoogle Scholar
  35. 35.
    M. Marechal, U. Zimmermann, H. Löwen, J. Chem. Phys. 136, 144506 (2012)ADSGoogle Scholar
  36. 36.
    M. Marechal, H. Löwen, Phys. Rev. Lett. 110, 137801 (2013)ADSGoogle Scholar
  37. 37.
    R. Evans, Adv. Phys. 28, 143 (1979)ADSGoogle Scholar
  38. 38.
    Y. Singh, Phys. Rep. 207, 351 (1991)ADSGoogle Scholar
  39. 39.
    H. Löwen, Phys. Rep. 237, 249 (1994)ADSGoogle Scholar
  40. 40.
    P. Tarazona, J. Cuesta, Y. Martínez-Ratón, in Theory and Simulation of Hard-Sphere Fluids and Related Systems, edited by Á. Mulero, Vol. 753, Lecture Notes in Physics (Springer Berlin Heidelberg, 2008), p. 247Google Scholar
  41. 41.
    J. Wu, Z. Li, Annual Rev. Phys. Chem. 58, 85 (2007)ADSGoogle Scholar
  42. 42.
    Y. Rosenfeld, Phys. Rev. Lett. 63, 980 (1989)ADSGoogle Scholar
  43. 43.
    R. Roth, J. Phys.: Condens. Matter 22, 063102 (2010)ADSGoogle Scholar
  44. 44.
    M. Schmidt, H. Löwen, J.M. Brader, R. Evans, J. Phys.: Condens. Matter 14, 9353 (2002)ADSGoogle Scholar
  45. 45.
    A. Chamoux, A. Perera, J. Chem. Phys. 104, 1493 (1996)ADSGoogle Scholar
  46. 46.
    S. Korden, Phys. Rev. E 85, 041150 (2012)ADSGoogle Scholar
  47. 47.
    H. Hansen-Goos, K. Mecke, Phys. Rev. Lett. 102, 018302 (2009)ADSGoogle Scholar
  48. 48.
    H. Hansen-Goos, K. Mecke, J. Phys.: Condens. Matter 22, 364107 (2010)Google Scholar
  49. 49.
    U.M.B. Marconi, P. Tarazona, J. Phys.: Condens. Matter 12, A413 (2000)ADSGoogle Scholar
  50. 50.
    A.J. Archer, R. Evans, J. Chem. Phys. 121, 4246 (2004)ADSGoogle Scholar
  51. 51.
    P. Español, H. Löwen, J. Chem. Phys. 131, 244101 (2009)ADSGoogle Scholar
  52. 52.
    H. Emmerich, H. Löwen, R. Wittkowski, T. Gruhn, G.I. Tóth, G. Tegze, L. Gránásy, Adv. Phys. 61, 665 (2012)ADSGoogle Scholar
  53. 53.
    M. Rex, H.H. Wensink, H. Löwen, Phys. Rev. E 76, 021403 (2007)ADSGoogle Scholar
  54. 54.
    R. Wittkowski, H. Löwen, H.R. Brand, Phys. Rev. E 82, 031708 (2010)ADSGoogle Scholar
  55. 55.
    H. Löwen, T. Beier, H. Wagner, Europhys. Lett. 9, 791 (1989)ADSGoogle Scholar
  56. 56.
    J.F. Lutsko, J. Chem. Phys. 134, 164501 (2011)ADSGoogle Scholar
  57. 57.
    K.R. Elder, N. Provatas, J. Berry, P. Stefanovic, M. Grant, Phys. Rev. B 75, 064107 (2007)ADSGoogle Scholar
  58. 58.
    S. van Teeffelen, R. Backofen, A. Voigt, H. Löwen, Phys. Rev. E 79, 051404 (2009)ADSGoogle Scholar
  59. 59.
    K.R. Elder, M. Katakowski, M. Haataja, M. Grant, Phys. Rev. Lett. 88, 245701 (2002)ADSGoogle Scholar
  60. 60.
    H. Löwen, J. Phys.: Condens. Matter 22, 364105 (2010)Google Scholar
  61. 61.
    C.V. Achim, R. Wittkowski, H. Löwen, Phys. Rev. E 83, 061712 (2011)ADSGoogle Scholar
  62. 62.
    P. Bolhuis, D. Frenkel, J. Chem. Phys. 106, 666 (1997)ADSGoogle Scholar
  63. 63.
    H. Graf, H. Löwen, J. Phys.: Condens. Matter 11, 1435 (1999)ADSGoogle Scholar
  64. 64.
    R. Roth (private communication)Google Scholar
  65. 65.
    P.M. Johnson, C.M. van Kats, A. van Blaaderen, Langmuir 21, 11510 (2005)Google Scholar
  66. 66.
    E.B. Mock, H. De Bruyn, B.S. Hawkett, R.G. Gilbert, C.F. Zukoski, Langmuir 22, 4037 (2006)Google Scholar
  67. 67.
    S.H. Lee, S.J. Gerbode, B.S. John, A.K. Wolfgang, F.A. Escobedo, I. Cohen, C.M. Liddell, J. Mater. Chem. 18, 4912 (2008)Google Scholar
  68. 68.
    E.B. Mock, C.F. Zukoski, Langmuir 23, 8760 (2007)Google Scholar
  69. 69.
    S.J. Gerbode, S.H. Lee, C.M. Liddell, I. Cohen, Phys. Rev. Lett. 101, 058302 (2008)ADSGoogle Scholar
  70. 70.
    S.J. Gerbode, U. Agarwal, D.C. Ong, C.M. Liddell, F.A. Escobedo, I. Cohen, Phys. Rev. Lett. 105, 078301 (2010)ADSGoogle Scholar
  71. 71.
    C. Vega, E.P.A. Paras, P.A. Monson, J. Chem. Phys. 96, 9060 (1992)ADSGoogle Scholar
  72. 72.
    C. Vega, E.P.A. Paras, P.A. Monson, J. Chem. Phys. 97, 8543 (1992)ADSGoogle Scholar
  73. 73.
    C. Vega, P.A. Monson, J. Chem. Phys. 107, 2696 (1997)ADSGoogle Scholar
  74. 74.
    C. Vega, L. MacDowell, C. McBride, F. Blas, A. Galindo, E. Sanz, J. Mol. Liq. 113, 37 (2004)Google Scholar
  75. 75.
    M. Marechal, M. Dijkstra, Phys. Rev. E 77, 061405 (2008)ADSGoogle Scholar
  76. 76.
    T. Biben, R. Ohnesorge, H. Löwen, Europhys. Lett. 28, 665 (1994)ADSGoogle Scholar
  77. 77.
    M. Marechal, M. Dijkstra, Soft Matter 7, 1397 (2011)ADSGoogle Scholar
  78. 78.
    L. Rossi, S. Sacanna, W.T.M. Irvine, P.M. Chaikin, D.J. Pine, A.P. Philipse, Soft Matter 7, 4139 (2011)ADSGoogle Scholar
  79. 79.
    S. Hernandez-Navarro, P. Tierno, J. Ignes-Mullol, F. Sagues, Soft Matter 7, 5109 (2011)ADSGoogle Scholar
  80. 80.
    J.Y. Kim, F.E. Osterloh, H. Hiramatsu, R.K. Dumas, K. Liu, J. Phys. Chem. B 109, 11151 (2005)Google Scholar
  81. 81.
    J.A. Cuesta, Phys. Rev. Lett. 76, 3742 (1996)ADSGoogle Scholar
  82. 82.
    J.A. Cuesta, Y. Martínez-Ratón, J. Chem. Phys. 107, 6379 (1997)ADSGoogle Scholar
  83. 83.
    J.A. Cuesta, Y. Martínez-Ratón, Phys. Rev. Lett. 78, 3681 (1997)ADSGoogle Scholar
  84. 84.
    Y. Martínez-Ratón, J.A. Cuesta, J. Chem. Phys. 111, 317 (1999)ADSGoogle Scholar
  85. 85.
    F. Smallenburg, L. Filion, M. Marechal, M. Dijkstra, Proc. Natl. Acad. Sci. USA 109, 17886 (2012)ADSGoogle Scholar
  86. 86.
    S. Belli, M. Dijkstra, R. van Roij, J. Chem. Phys. 137, 124506 (2012)ADSGoogle Scholar
  87. 87.
    J.H. Conway, S. Torquato, Proc. Natl. Acad. Sci. USA 103, 10612 (2006)MathSciNetADSzbMATHGoogle Scholar
  88. 88.
    Y. Kallus, V. Elser, S. Gravel, Discrete Comput. Geom. 44, 245 (2010)MathSciNetzbMATHGoogle Scholar
  89. 89.
    E. Chen, M. Engel, S. Glotzer, Discrete Comput. Geom. 44, 253 (2010)MathSciNetzbMATHGoogle Scholar
  90. 90.
    A. Jaoshvili, A. Esakia, M. Porrati, P.M. Chaikin, Phys. Rev. Lett. 104, 185501 (2010)ADSGoogle Scholar
  91. 91.
    S. Torquato, Nature 460, 876 (2009)ADSGoogle Scholar
  92. 92.
    J. de Graaf, R. van Roij, M. Dijkstra, Phys. Rev. Lett. 107, 155501 (2011)ADSGoogle Scholar
  93. 93.
    S. Torquato, F.H. Stillinger, Rev. Mod. Phys. 82, 2633 (2010)MathSciNetADSGoogle Scholar
  94. 94.
    P.F. Damasceno, M. Engel, S.C. Glotzer, Science 337, 453 (2012)ADSGoogle Scholar
  95. 95.
    A. Haji-Akbari, M. Engel, A.S. Keys, X. Zheng, R.G. Petschek, P. Palffy-Muhoray, S.C. Glotzer, Nature 462, 773 (2009)ADSGoogle Scholar
  96. 96.
    H. Brenner, J. Colloid Interface Sci. 20, 104 (1965)Google Scholar
  97. 97.
    H. Brenner, J. Colloid Interface Sci. 23, 407 (1967)Google Scholar
  98. 98.
    M.X. Fernandes, J. García de la Torre, Biophys. J. 83, 3039 (2002)Google Scholar
  99. 99.
    M. Makino, M. Doi, J. Phys. Soc. Jpn. 73, 2739 (2004)ADSzbMATHGoogle Scholar
  100. 100.
    R. Wittkowski, H. Löwen, Phys. Rev. E 85, 021406 (2012)ADSGoogle Scholar
  101. 101.
    D.J. Kraft, R. Wittkowski, B. ten Hagen, K.V. Edmond, D.J. Pine, H. Löwen, Brownian motion and the hydrodynamic friction tensor for colloidal particles of arbitrary shape, http://arxiv.org/abs/1305.1253, 2013
  102. 102.
    A. Härtel, R. Blaak, H. Löwen, Phys. Rev. E 81, 051703 (2010)ADSGoogle Scholar
  103. 103.
    S. van Teeffelen, H. Löwen, Phys. Rev. E 78, 020101 (2008)Google Scholar
  104. 104.
    S. van Teeffelen, U. Zimmermann, H. Löwen, Soft Matter 5, 4510 (2009)ADSGoogle Scholar
  105. 105.
    B. ten Hagen, S. van Teeffelen, H. Löwen, J. Phys.: Condens. Matter 23, 194119 (2011)ADSGoogle Scholar
  106. 106.
    C. Hoell, H. Löwen, Phys. Rev. E 84, 042903 (2011)ADSGoogle Scholar
  107. 107.
    A. Sengupta, T. Kruppa, H. Löwen, Phys. Rev. E 83, 031914 (2011)MathSciNetADSGoogle Scholar
  108. 108.
    H.H. Wensink, H. Löwen, Phys. Rev. E 78, 031409 (2008)ADSGoogle Scholar
  109. 109.
    T. Kirchhoff, H. Löwen, R. Klein, Phys. Rev. E 53, 5011 (1996)ADSGoogle Scholar
  110. 110.
    H. Löwen, J. Chem. Phys. 100, 6738 (1994)ADSGoogle Scholar
  111. 111.
    Y. Yang, V. Marceau, G. Gompper, Phys. Rev. E 82, 031904 (2010)ADSGoogle Scholar
  112. 112.
    H.H. Wensink, H. Löwen, J. Phys.: Condens. Matter 24, 464130 (2012)ADSGoogle Scholar
  113. 113.
    A. Kaiser, H. Löwen, Phys. Rev. E 87, 032712 (2013)ADSGoogle Scholar
  114. 114.
    A. Kaiser, H.H. Wensink, H. Löwen, Phys. Rev. Lett. 108, 268307 (2012)ADSGoogle Scholar
  115. 115.
    A. Kaiser, K. Popowa, H.H. Wensink, H. Löwen, Phys. Rev. E 88, 022311 (2013)ADSGoogle Scholar
  116. 116.
    J. Bialké, T. Speck, H. Löwen, Phys. Rev. Lett. 108, 168301 (2012)ADSGoogle Scholar
  117. 117.
    A.M. Menzel, H. Löwen, Phys. Rev. Lett. 110, 055702 (2013)ADSGoogle Scholar
  118. 118.
    M. Schmidt, J. Phys.: Condens. Matter 17, S3481 (2005)ADSGoogle Scholar
  119. 119.
    P.P.F. Wessels, M. Schmidt, H. Löwen, Phys. Rev. Lett. 94, 078303 (2005)ADSGoogle Scholar
  120. 120.
    M. Rex, H. Löwen, Phys. Rev. Lett. 101, 148302 (2008)ADSGoogle Scholar
  121. 121.
    H. Löwen, J. Phys.: Condens. Matter 21, 474203 (2009)Google Scholar
  122. 122.
    M.N. Popescu, S. Dietrich, M. Tasinkevych, J. Ralston, Eur. Phys. J. E 31, 351 (2010)Google Scholar

Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • H. H. Wensink
    • 1
  • H. Löwen
    • 2
  • M. Marechal
    • 3
  • A. Härtel
    • 4
  • R. Wittkowski
    • 5
  • U. Zimmermann
    • 2
  • A. Kaiser
    • 2
  • A. M. Menzel
    • 2
  1. 1.Laboratoire de Physique des SolidesUniversité Paris-Sud and CNRSOrsayFrance
  2. 2.Institut für Theoretische Physik II: Weiche MaterieHeinrich-Heine-Universität DüsseldorfDüsseldorfGermany
  3. 3.Institut für Theoretische Physik IUniversität Erlangen-NürnbergErlangenGermany
  4. 4.ITFUtrecht UniversityUtrechtThe Netherlands
  5. 5.SUPA, School of Physics and AstronomyUniversity of EdinburghEdinburghUK

Personalised recommendations