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The European Physical Journal Special Topics

, Volume 222, Issue 11, pp 2995–3009 | Cite as

Colloids in light fields: Particle dynamics in random and periodic energy landscapes

  • 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
Review Laser–Optical and Magnetic Fields

Abstract

The dynamics of colloidal particles in potential energy landscapes have mainly been investigated theoretically. In contrast, here we discuss the experimental realization of potential energy landscapes with the help of laser light fields and the observation of the particle dynamics by video microscopy. The experimentally observed dynamics in periodic and random potentials are compared to simulation and theoretical results in terms of, e.g. the mean-squared displacement, the time-dependent diffusion coefficient or the non-Gaussian parameter. The dynamics are initially diffusive followed by intermediate subdiffusive behaviour which again becomes diffusive at long times. How pronounced and extended the different regimes are, depends on the specific conditions, in particular the shape of the potential as well as its roughness or amplitude but also the particle concentration. Here we focus on dilute systems, but the dynamics of interacting systems in external potentials, and thus the interplay between particle-particle and particle-potential interactions, are also mentioned briefly. Furthermore, the observed dynamics of dilute systems resemble the dynamics of concentrated systems close to their glass transition, with which it is compared. The effect of certain potential energy landscapes on the dynamics of individual particles appears similar to the effect of interparticle interactions in the absence of an external potential.

Keywords

European Physical Journal Special Topic Colloidal Particle Particle Dynamic Colloidal Dispersion External Potential 
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.

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References

  1. 1.
    J.-P. Bouchaud, A. Georges, Phys. Rep. 195, 127 (1990)MathSciNetADSzbMATHGoogle Scholar
  2. 2.
    M. Sahimi, Rev. Mod. Phys. 65, 1393 (1993)ADSGoogle Scholar
  3. 3.
    J. Sancho, A. Lacasta, Eur. Phys. J. Special Topics 187, 49 (2010)ADSGoogle Scholar
  4. 4.
    J. Haus, K. Kehr, Phys. Rep. 150, 263 (1987)ADSGoogle Scholar
  5. 5.
    S. Havlin, D. Ben-Avraham, Adv. Phys. 36, 695 (1987)ADSGoogle Scholar
  6. 6.
    P.G. Wolynes, Acc. Chem. Res. 25, 513 (1992)Google Scholar
  7. 7.
    D.S. Dean, I.T. Drummond, R.R. Horgan, J. Stat. Mech., P07013 (2007)Google Scholar
  8. 8.
    J.M. Sancho, A.M. Lacasta, K. Lindenberg, I.M. Sokolov, A.H. Romero, Phys. Rev. Lett. 92, 250601 (2004)ADSGoogle Scholar
  9. 9.
    R.M. Dickson, D.J. Norris, Y.-L. Tzeng, W.E. Moerner, Science 274, 966 (1996)ADSGoogle Scholar
  10. 10.
    G. Seisenberger, M.U. Ried, T. Endress, H. Büning, M. Hallek, C. Bräuchle, Science 294, 1929 (2001)ADSGoogle Scholar
  11. 11.
    M. Weiss, M. Elsner, F. Kartberg, T. Nilsson, Biophys. J. 87, 3518 (2004)ADSGoogle Scholar
  12. 12.
    I.M. Tolić-Nørrelykke, E.-L. Munteanu, G. Thon, L. Oddershede, K. Berg-Sørensen, Phys. Rev. Lett. 93, 078102 (2004)ADSGoogle Scholar
  13. 13.
    D.S. Banks, C. Fradin, Biophys. J. 89, 2960 (2005)ADSGoogle Scholar
  14. 14.
    F. Höfling, T. Franosch, Rep. Prog. Phys. 76, 046602 (2013)ADSGoogle Scholar
  15. 15.
    E. Barkai, Y. Garini, R. Metzler, Phys. Today 65, 29 (2012)Google Scholar
  16. 16.
    A. Byström, A.M. Byström, Acta Crystallogr. 3, 146 (1950)Google Scholar
  17. 17.
    A. Heuer, S. Murugavel, B. Roling, Phys. Rev. B 72, 174304 (2005)ADSGoogle Scholar
  18. 18.
    P. Tierno, P. Reimann, T.H. Johansen, F. Sagués, Phys. Rev. Lett. 105, 230602 (2010)ADSGoogle Scholar
  19. 19.
    P. Tierno, F. Sagués, T.H. Johansen, T.M. Fischer, Phys. Chem. Chem. Phys. 11, 9615 (2009)Google Scholar
  20. 20.
    P. Tierno, F. Sagués, T.H. Johansen, I.M. Sokolov, Phys. Rev. Lett. 109, 070601 (2012)ADSGoogle Scholar
  21. 21.
    F.-R. Carminati, M. Schiavoni, L. Sanchez-Palencia, F. Renzoni, G. Grynberg, Eur. Phys. J. D 17, 249 (2001)ADSGoogle Scholar
  22. 22.
    M. Siler, P. Zemánek, New J. Phys. 12, 083001 (2010)Google Scholar
  23. 23.
    K.M. Douglass, S. Sukhov, A. Dogariu, Nat. Phot. 6, 833 (2012)Google Scholar
  24. 24.
    K. Harada, O. Kamimura, H. Kasai, T. Matsuda, A. Tonomura, V.V. Moshchalkov, Science 274, 1167 (1996)ADSGoogle Scholar
  25. 25.
    A. Heuer, J. Phys.: Condens. Matter 20, 373101 (2008)Google Scholar
  26. 26.
    P.G. Debenedetti, F.H. Stillinger, Nature 410, 259 (2001)ADSGoogle Scholar
  27. 27.
    C.A. Angell, Science 267, 1924 (1995)ADSGoogle Scholar
  28. 28.
    W.C.K. Poon, J. Phys.: Condens. Matter 14, R859 (2002)ADSGoogle Scholar
  29. 29.
    W. van Megen, T.C. Mortensen, S.R. Williams, J. Müller, Phys. Rev. E 58, 6073 (1998)ADSGoogle Scholar
  30. 30.
    A. Heuer, B. Doliwa, A. Saksaengwijit, Phys. Rev. E 72, 021503 (2005)ADSGoogle Scholar
  31. 31.
    R.B. Best, G. Hummer, Phys. Chem. Chem. Phys. 13, 16902 (2011)Google Scholar
  32. 32.
    C.M. Dobson, A. Sali, M. Karplus, Angew. Chem. Int. Ed. 37, 868 (1998)Google Scholar
  33. 33.
    J.D. Bryngelson, J.N. Onuchic, N.D. Socci, P.G. Wolynes, Proteins 21, 167 (1995)Google Scholar
  34. 34.
    M.D. Haw, J. Phys.: Condens. Matter 14, 7769 (2002)ADSGoogle Scholar
  35. 35.
    E. Frey, K. Kroy, Ann. Phys. 14, 20 (2005)zbMATHGoogle Scholar
  36. 36.
    J. Klafter, I.M. Sokolov, Phys. World 18, 29 (2005)Google Scholar
  37. 37.
    I.M. Sokolov, Soft Matter 8, 9043 (2012)ADSGoogle Scholar
  38. 38.
    M. Schmiedeberg, J. Roth, H. Stark, Eur. Phys. J. E 24, 367 (2007)Google Scholar
  39. 39.
    C. Emary, R. Gernert, S.H.L. Klapp, Phys. Rev. E 86, 061135 (2012)ADSGoogle Scholar
  40. 40.
    K. Lichtner, A. Pototsky, S.H.L. Klapp, Phys. Rev. E 86, 051405 (2012)ADSGoogle Scholar
  41. 41.
    S. Herrera-Velarde, R. Castañeda-Priego, Phys. Rev. E 79, 041407 (2009)ADSGoogle Scholar
  42. 42.
    E.C. Euán-Díaz, V.R. Misko, F.M. Peeters, S. Herrera-Velarde, R. Castañeda-Priego, Phys. Rev. E 86, 031123 (2012)ADSGoogle Scholar
  43. 43.
    J. Bernasconi, H.U. Beyeler, S. Strässler, S. Alexander, Phys. Rev. Lett. 42, 819 (1979)ADSGoogle Scholar
  44. 44.
    J.W. Haus, K.W. Kehr, J.W. Lyklema, Phys. Rev. B 25, 2905 (1982)ADSGoogle Scholar
  45. 45.
    H. Scher, M. Lax, Phys. Rev. B 7, 4491 (1973)MathSciNetADSGoogle Scholar
  46. 46.
    R. Zwanzig, Proc. Natl. Acad. Sci. 85, 2029 (1988)MathSciNetADSGoogle Scholar
  47. 47.
    W. Dieterich, I. Peschel, W. Schneider, Z. Phys. B Condens. Matter 27, 177 (1977)ADSGoogle Scholar
  48. 48.
    P. Reimann, C. Van den Broeck, H. Linke, P. Hänggi, J.M. Rubi, A. Pérez-Madrid, Phys. Rev. E 65, 031104 (2002)ADSGoogle Scholar
  49. 49.
    F. Höfling, T. Franosch, E. Frey, Phys. Rev. Lett. 96, 165901 (2006)ADSGoogle Scholar
  50. 50.
    V. Krakoviack, Phys. Rev. Lett. 94, 065703 (2005)ADSGoogle Scholar
  51. 51.
    F. Sciortino, J. Stat. Mech., P05015 (2005)Google Scholar
  52. 52.
    R.D.L. Hanes, C. Dalle-Ferrier, M. Schmiedeberg, M.C. Jenkins, S.U. Egelhaaf, Soft Matter 8, 2714 (2012)ADSGoogle Scholar
  53. 53.
    F. Evers, C. Zunke, R.D.L. Hanes, J. Bewerunge, I. Ladadwa, A. Heuer, S.U. Egelhaaf, Phys. Rev. E 88, 022125 (2013)ADSGoogle Scholar
  54. 54.
    C. Dalle-Ferrier, M. Krüger, R.D.L. Hanes, S. Walta, M.C. Jenkins, S.U. Egelhaaf, Soft Matter 7, 2064 (2011)ADSGoogle Scholar
  55. 55.
    I. Ladadwa, F. Evers, A. Heuer, S.U. Egelhaaf (in preparation) (2013)Google Scholar
  56. 56.
    R.D.L. Hanes, S.U. Egelhaaf, J. Phys.: Condens. Matter 24, 464116 (2012)ADSGoogle Scholar
  57. 57.
    T.O.E. Skinner, S.K. Schnyder, D.G.A.L. Aarts, J. Horbach, R.P.A. Dullens, Phys. Rev. Lett. 111, 128301 (2013)ADSGoogle Scholar
  58. 58.
    X. Ma, P. Lai, P. Tong, Soft Matter 9, 8826 (2013)ADSGoogle Scholar
  59. 59.
    A. Ashkin, Science 210, 1081 (1980)ADSGoogle Scholar
  60. 60.
    M.C. Jenkins, S.U. Egelhaaf, J. Phys.: Condens. Matter 20, 404220 (2008)Google Scholar
  61. 61.
    K. Dholakia, T. Cizmar, Nat. Phot. 5, 335 (2011)Google Scholar
  62. 62.
    K. Dholakia, P. Reece, M. Gu, Chem. Soc. Rev. 37, 42 (2008)Google Scholar
  63. 63.
    R.W. Bowman, M.J. Padgett, Rep. Prog. Phys. 76, 026401 (2013)ADSGoogle Scholar
  64. 64.
    K.C. Neumann, S.M. Block, Rev. Sci. Instrum. 75, 2787 (2004)ADSGoogle Scholar
  65. 65.
    J.E. Molloy, M.J. Padgett, Contemp. Phys. 43, 241 (2002)ADSGoogle Scholar
  66. 66.
    A. Ashkin, Proc. Natl. Acad. Sci. 94, 4853 (1997)ADSGoogle Scholar
  67. 67.
    D.G. Grier, Nature 424, 810 (2003)ADSGoogle Scholar
  68. 68.
    R.D.L. Hanes, M.C. Jenkins, S.U. Egelhaaf, Rev. Sci. Instrum. 80, 083703 (2009)ADSGoogle Scholar
  69. 69.
    M.P.N. Juniper, R. Besseling, D.G.A.L. Aarts, R.P.A. Dullens, Opt. Express 20, 28707 (2012)ADSGoogle Scholar
  70. 70.
    J. Bewerunge, A. Sengupta, S.U. Egelhaaf (in preparation)Google Scholar
  71. 71.
    Q.-H. Wei, C. Bechinger, D. Rudhardt, P. Leiderer, Phys. Rev. Lett. 81, 2606 (1998)ADSGoogle Scholar
  72. 72.
    K. Loudiyi, B.J. Ackerson, Physica A 184, 1 (1992)ADSGoogle Scholar
  73. 73.
    C. Bechinger, Q.H. Wei, P. Leiderer, J. Phys.: Condens. Matter 12, A425 (2000)ADSGoogle Scholar
  74. 74.
    A. van Blaaderen, J.P. Hoogenboom, D.L.J. Vossen, A. Yethiraj, A. van der Horst, K. Visscher, M. Dogterom, Faraday Discuss 123, 107 (2003)ADSGoogle Scholar
  75. 75.
    M. Brunner, C. Bechinger, Phys. Rev. Lett. 88, 248302 (2002)ADSGoogle Scholar
  76. 76.
    B.V.R. Tata, R.G. Joshi, D.K. Gupta, J. Brijitta, B. Raj, Curr. Sci. 103, 1175 (2012)Google Scholar
  77. 77.
    E. Jaquay, L.J. Martínez, C.A. Mejia, M.L. Povinelli, Nano Lett. 13, 2290 (2013)ADSGoogle Scholar
  78. 78.
    J. Mikhael, J. Roth, L. Helden, C. Bechinger, Nature 454, 501 (2008)ADSGoogle Scholar
  79. 79.
    R. Castañeda-Priego, S. Herrera-Velarde, C. Dalle-Ferrier, S.U. Egelhaaf (in preparation)Google Scholar
  80. 80.
    R. Festa, E. d’Agliano, Phys. A: Stat. Mech. Appl. 90, 229 (1978)Google Scholar
  81. 81.
    R.D.L. Hanes, M. Schmiedeberg, S.U. Egelhaaf, [arXiv 1309.4801] (2013)
  82. 82.
    B. Vorselaars, A.V. Lyulin, K. Karatasos, M.A.J. Michels, Phys. Rev. E 75, 011504 (2007)ADSGoogle Scholar
  83. 83.
    R. Zangi, S.A. Rice, Phys. Rev. Lett. 92, 035502 (2004)ADSGoogle Scholar
  84. 84.
    B. Cui, B. Lin, S.A. Rice, J. Chem. Phys. 114, 9142 (2001)ADSGoogle Scholar
  85. 85.
    C. Hyeon, D. Thirumalai, Proc. Nat. Acad. Sci. 100, 10249 (2003)ADSGoogle Scholar
  86. 86.
    H. Janovjak, H. Knaus, D.J. Muller, J. Am. Chem. Soc. 129, 246 (2007)Google Scholar
  87. 87.
    M.P. Lettinga, E. Grelet, Phys. Rev. Lett. 99, 197802 (2007)ADSGoogle Scholar
  88. 88.
    E. Grelet, M.P. Lettinga, M. Bier, R. van Roij, P. van der Schoot, J. Phys.: Condens. Matter 20, 494213 (2008)Google Scholar
  89. 89.
    K. Dholakia, W. Lee, Adv. Atom. Mol. Opt. Phys. 56, 261 (2008)ADSGoogle Scholar
  90. 90.
    A. Ashkin, Biophys. J. 61, 569 (1992)ADSGoogle Scholar
  91. 91.
    A. Ashkin, J.M. Dziedzic, J.E. Bjorkholm, S. Chu, Opt. Lett. 11, 288 (1986)ADSGoogle Scholar
  92. 92.
    M. Kerker, The Scattering of Light and other Electromagnetic Radiation (Academic Press, 1969)Google Scholar
  93. 93.
    Y. Harada, T. Asakura, Opt. Comm. 124, 529 (1996)ADSGoogle Scholar
  94. 94.
    K. Svoboda, S.M. Block, Ann. Rev. Biophys. Biomol. Struct. 23, 247 (1994)Google Scholar
  95. 95.
    S.M. Barnett, R. London, J. Phys. B.: At. Mol. Opt. Phys. 39, S671 (2006)ADSGoogle Scholar
  96. 96.
    C. Zunke, R.D.L. Hanes, F. Evers, S.U. Egelhaaf (in preparation)Google Scholar
  97. 97.
    T. Tlusty, A. Meller, R. Bar-Ziv, Phys. Rev. Lett. 81, 1738 (1998)ADSGoogle Scholar
  98. 98.
    D. Bonessi, K. Bonin, T. Walker, J. Opt. A: Pure Appl. Opt. 9, S228 (2007)ADSGoogle Scholar
  99. 99.
    R.D.L. Hanes, C. Zunke, F. Evers, S.U. Egelhaaf (in preparation)Google Scholar
  100. 100.
    A. Chowdhury, B.J. Ackerson, N.A. Clark, Phys. Rev. Lett. 55, 833 (1985)ADSGoogle Scholar
  101. 101.
    W. Köhler, R. Schäfer, Adv. Polym. Sci. 151, 1 (2000)Google Scholar
  102. 102.
    S. Wiegand, J. Phys.: Condens. Matter 16, R357 (2004)ADSGoogle Scholar
  103. 103.
    E.S. Pagac, R.D. Tilton, D.C. Prieve, Chem. Eng. Comm. 148–150, 105 (1996)Google Scholar
  104. 104.
    J. Leach, H. Mushfique, S. Keen, R. Di Leonardo, G. Ruocco, J.M. Cooper, M.J. Padgett, Phys. Rev. E 79, 026301 (2009)ADSGoogle Scholar
  105. 105.
    P. Sharma, S. Ghosh, S. Bhattacharya, Appl. Phys. Lett. 97, 104101 (2010)ADSGoogle Scholar
  106. 106.
    J.C. Crocker, D.G. Grier, J. Coll. Interf. Sci. 179, 298 (1996)Google Scholar
  107. 107.
    M.C. Jenkins, S.U. Egelhaaf, Adv. Coll. Interf. Sci. 136, 65 (2008)Google Scholar
  108. 108.
    W. van Megen, T.C. Mortensen, S.R. Williams, J. Müller, Phys. Rev. E 58, 6073 (1998)ADSGoogle Scholar
  109. 109.
    D.S. Dean, I.T. Drummond, R.R. Horgan, J. Phys. A: Math. Gen. 30, 385 (1997)MathSciNetADSzbMATHGoogle Scholar
  110. 110.
    D.S. Dean, I.T. Drummond, R.R. Horgan, J. Phys. A: Math. Gen. 37, 2039 (2004)MathSciNetADSzbMATHGoogle Scholar
  111. 111.
    C. Touya, D.S. Dean, J. Phys. A: Math. Theor. 40, 919 (2007)MathSciNetADSzbMATHGoogle Scholar
  112. 112.
    J.C. Dyre, Phys. Rev. B 51, 12276 (1995)ADSGoogle Scholar
  113. 113.
    P.N. Pusey, W. van Megen, Nature 320, 340 (1986)ADSGoogle Scholar
  114. 114.
    K.S. Schweizer, Curr. Opin. Coll. Interf. Sci. 12, 297 (2007)Google Scholar
  115. 115.
    K.S. Schweizer, E.J. Saltzman, J. Chem. Phys. 119, 1181 (2003)ADSGoogle Scholar
  116. 116.
    C. Lutz, M. Kollmann, C. Bechinger, Phys. Rev. Lett. 93, 026001 (2004)ADSGoogle Scholar
  117. 117.
    I.O. Götze, J.M. Brader, M. Schmidt, H. Löwen, Mol. Phys. 101, 1651 (2003)ADSGoogle Scholar
  118. 118.
    K. Franzrahe, P. Nielaba, Phys. Rev. E 76, 061503 (2007)ADSGoogle Scholar
  119. 119.
    K. Franzrahe, P. Nielaba, Phys. Rev. E 79, 051505 (2009)ADSGoogle Scholar
  120. 120.
    A. Imhof, J.K.G. Dhont, Phys. Rev. E 52, 6344 (1995)ADSGoogle Scholar
  121. 121.
    T. Voigtmann, J. Horbach, Phys. Rev. Lett. 103, 205901 (2009)ADSGoogle Scholar
  122. 122.
    J. Bewerunge, C. Zunke, S. Glöckner, F. Evers, S.U. Egelhaaf (in preparation)Google Scholar

Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • F. Evers
    • 1
  • R. D. L. Hanes
    • 1
  • C. Zunke
    • 1
  • R. F. Capellmann
    • 1
  • J. Bewerunge
    • 1
  • C. Dalle-Ferrier
    • 1
  • M. C. Jenkins
    • 1
  • I. Ladadwa
    • 2
    • 3
  • A. Heuer
    • 2
  • R. Castañeda-Priego
    • 4
  • S. U. Egelhaaf
    • 1
  1. 1.Condensed Matter Physics LaboratoryHeinrich Heine UniversityDüsseldorfGermany
  2. 2.Institute of Physical ChemistryUniversity MünsterMünsterGermany
  3. 3.Fahad Bin Sultan UniversityTabukSaudi-Arabia
  4. 4.Division of Sciences and EngineeringUniversity of GuanajuatoLeónMexico

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