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

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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.

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References

  1. J.-P. Bouchaud, A. Georges, Phys. Rep. 195, 127 (1990)

    MathSciNet  ADS  MATH  Google Scholar 

  2. M. Sahimi, Rev. Mod. Phys. 65, 1393 (1993)

    ADS  Google Scholar 

  3. J. Sancho, A. Lacasta, Eur. Phys. J. Special Topics 187, 49 (2010)

    ADS  Google Scholar 

  4. J. Haus, K. Kehr, Phys. Rep. 150, 263 (1987)

    ADS  Google Scholar 

  5. S. Havlin, D. Ben-Avraham, Adv. Phys. 36, 695 (1987)

    ADS  Google Scholar 

  6. P.G. Wolynes, Acc. Chem. Res. 25, 513 (1992)

    Google Scholar 

  7. D.S. Dean, I.T. Drummond, R.R. Horgan, J. Stat. Mech., P07013 (2007)

  8. J.M. Sancho, A.M. Lacasta, K. Lindenberg, I.M. Sokolov, A.H. Romero, Phys. Rev. Lett. 92, 250601 (2004)

    ADS  Google Scholar 

  9. R.M. Dickson, D.J. Norris, Y.-L. Tzeng, W.E. Moerner, Science 274, 966 (1996)

    ADS  Google Scholar 

  10. G. Seisenberger, M.U. Ried, T. Endress, H. Büning, M. Hallek, C. Bräuchle, Science 294, 1929 (2001)

    ADS  Google Scholar 

  11. M. Weiss, M. Elsner, F. Kartberg, T. Nilsson, Biophys. J. 87, 3518 (2004)

    ADS  Google Scholar 

  12. I.M. Tolić-Nørrelykke, E.-L. Munteanu, G. Thon, L. Oddershede, K. Berg-Sørensen, Phys. Rev. Lett. 93, 078102 (2004)

    ADS  Google Scholar 

  13. D.S. Banks, C. Fradin, Biophys. J. 89, 2960 (2005)

    ADS  Google Scholar 

  14. F. Höfling, T. Franosch, Rep. Prog. Phys. 76, 046602 (2013)

    ADS  Google Scholar 

  15. E. Barkai, Y. Garini, R. Metzler, Phys. Today 65, 29 (2012)

    Google Scholar 

  16. A. Byström, A.M. Byström, Acta Crystallogr. 3, 146 (1950)

    Google Scholar 

  17. A. Heuer, S. Murugavel, B. Roling, Phys. Rev. B 72, 174304 (2005)

    ADS  Google Scholar 

  18. P. Tierno, P. Reimann, T.H. Johansen, F. Sagués, Phys. Rev. Lett. 105, 230602 (2010)

    ADS  Google Scholar 

  19. P. Tierno, F. Sagués, T.H. Johansen, T.M. Fischer, Phys. Chem. Chem. Phys. 11, 9615 (2009)

    Google Scholar 

  20. P. Tierno, F. Sagués, T.H. Johansen, I.M. Sokolov, Phys. Rev. Lett. 109, 070601 (2012)

    ADS  Google Scholar 

  21. F.-R. Carminati, M. Schiavoni, L. Sanchez-Palencia, F. Renzoni, G. Grynberg, Eur. Phys. J. D 17, 249 (2001)

    ADS  Google Scholar 

  22. M. Siler, P. Zemánek, New J. Phys. 12, 083001 (2010)

    Google Scholar 

  23. K.M. Douglass, S. Sukhov, A. Dogariu, Nat. Phot. 6, 833 (2012)

    Google Scholar 

  24. K. Harada, O. Kamimura, H. Kasai, T. Matsuda, A. Tonomura, V.V. Moshchalkov, Science 274, 1167 (1996)

    ADS  Google Scholar 

  25. A. Heuer, J. Phys.: Condens. Matter 20, 373101 (2008)

    Google Scholar 

  26. P.G. Debenedetti, F.H. Stillinger, Nature 410, 259 (2001)

    ADS  Google Scholar 

  27. C.A. Angell, Science 267, 1924 (1995)

    ADS  Google Scholar 

  28. W.C.K. Poon, J. Phys.: Condens. Matter 14, R859 (2002)

    ADS  Google Scholar 

  29. W. van Megen, T.C. Mortensen, S.R. Williams, J. Müller, Phys. Rev. E 58, 6073 (1998)

    ADS  Google Scholar 

  30. A. Heuer, B. Doliwa, A. Saksaengwijit, Phys. Rev. E 72, 021503 (2005)

    ADS  Google Scholar 

  31. R.B. Best, G. Hummer, Phys. Chem. Chem. Phys. 13, 16902 (2011)

    Google Scholar 

  32. C.M. Dobson, A. Sali, M. Karplus, Angew. Chem. Int. Ed. 37, 868 (1998)

    Google Scholar 

  33. J.D. Bryngelson, J.N. Onuchic, N.D. Socci, P.G. Wolynes, Proteins 21, 167 (1995)

    Google Scholar 

  34. M.D. Haw, J. Phys.: Condens. Matter 14, 7769 (2002)

    ADS  Google Scholar 

  35. E. Frey, K. Kroy, Ann. Phys. 14, 20 (2005)

    MATH  Google Scholar 

  36. J. Klafter, I.M. Sokolov, Phys. World 18, 29 (2005)

    Google Scholar 

  37. I.M. Sokolov, Soft Matter 8, 9043 (2012)

    ADS  Google Scholar 

  38. M. Schmiedeberg, J. Roth, H. Stark, Eur. Phys. J. E 24, 367 (2007)

    Google Scholar 

  39. C. Emary, R. Gernert, S.H.L. Klapp, Phys. Rev. E 86, 061135 (2012)

    ADS  Google Scholar 

  40. K. Lichtner, A. Pototsky, S.H.L. Klapp, Phys. Rev. E 86, 051405 (2012)

    ADS  Google Scholar 

  41. S. Herrera-Velarde, R. Castañeda-Priego, Phys. Rev. E 79, 041407 (2009)

    ADS  Google Scholar 

  42. E.C. Euán-Díaz, V.R. Misko, F.M. Peeters, S. Herrera-Velarde, R. Castañeda-Priego, Phys. Rev. E 86, 031123 (2012)

    ADS  Google Scholar 

  43. J. Bernasconi, H.U. Beyeler, S. Strässler, S. Alexander, Phys. Rev. Lett. 42, 819 (1979)

    ADS  Google Scholar 

  44. J.W. Haus, K.W. Kehr, J.W. Lyklema, Phys. Rev. B 25, 2905 (1982)

    ADS  Google Scholar 

  45. H. Scher, M. Lax, Phys. Rev. B 7, 4491 (1973)

    MathSciNet  ADS  Google Scholar 

  46. R. Zwanzig, Proc. Natl. Acad. Sci. 85, 2029 (1988)

    MathSciNet  ADS  Google Scholar 

  47. W. Dieterich, I. Peschel, W. Schneider, Z. Phys. B Condens. Matter 27, 177 (1977)

    ADS  Google Scholar 

  48. P. Reimann, C. Van den Broeck, H. Linke, P. Hänggi, J.M. Rubi, A. Pérez-Madrid, Phys. Rev. E 65, 031104 (2002)

    ADS  Google Scholar 

  49. F. Höfling, T. Franosch, E. Frey, Phys. Rev. Lett. 96, 165901 (2006)

    ADS  Google Scholar 

  50. V. Krakoviack, Phys. Rev. Lett. 94, 065703 (2005)

    ADS  Google Scholar 

  51. F. Sciortino, J. Stat. Mech., P05015 (2005)

  52. R.D.L. Hanes, C. Dalle-Ferrier, M. Schmiedeberg, M.C. Jenkins, S.U. Egelhaaf, Soft Matter 8, 2714 (2012)

    ADS  Google Scholar 

  53. F. Evers, C. Zunke, R.D.L. Hanes, J. Bewerunge, I. Ladadwa, A. Heuer, S.U. Egelhaaf, Phys. Rev. E 88, 022125 (2013)

    ADS  Google Scholar 

  54. C. Dalle-Ferrier, M. Krüger, R.D.L. Hanes, S. Walta, M.C. Jenkins, S.U. Egelhaaf, Soft Matter 7, 2064 (2011)

    ADS  Google Scholar 

  55. I. Ladadwa, F. Evers, A. Heuer, S.U. Egelhaaf (in preparation) (2013)

  56. R.D.L. Hanes, S.U. Egelhaaf, J. Phys.: Condens. Matter 24, 464116 (2012)

    ADS  Google Scholar 

  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)

    ADS  Google Scholar 

  58. X. Ma, P. Lai, P. Tong, Soft Matter 9, 8826 (2013)

    ADS  Google Scholar 

  59. A. Ashkin, Science 210, 1081 (1980)

    ADS  Google Scholar 

  60. M.C. Jenkins, S.U. Egelhaaf, J. Phys.: Condens. Matter 20, 404220 (2008)

    Google Scholar 

  61. K. Dholakia, T. Cizmar, Nat. Phot. 5, 335 (2011)

    Google Scholar 

  62. K. Dholakia, P. Reece, M. Gu, Chem. Soc. Rev. 37, 42 (2008)

    Google Scholar 

  63. R.W. Bowman, M.J. Padgett, Rep. Prog. Phys. 76, 026401 (2013)

    ADS  Google Scholar 

  64. K.C. Neumann, S.M. Block, Rev. Sci. Instrum. 75, 2787 (2004)

    ADS  Google Scholar 

  65. J.E. Molloy, M.J. Padgett, Contemp. Phys. 43, 241 (2002)

    ADS  Google Scholar 

  66. A. Ashkin, Proc. Natl. Acad. Sci. 94, 4853 (1997)

    ADS  Google Scholar 

  67. D.G. Grier, Nature 424, 810 (2003)

    ADS  Google Scholar 

  68. R.D.L. Hanes, M.C. Jenkins, S.U. Egelhaaf, Rev. Sci. Instrum. 80, 083703 (2009)

    ADS  Google Scholar 

  69. M.P.N. Juniper, R. Besseling, D.G.A.L. Aarts, R.P.A. Dullens, Opt. Express 20, 28707 (2012)

    ADS  Google Scholar 

  70. J. Bewerunge, A. Sengupta, S.U. Egelhaaf (in preparation)

  71. Q.-H. Wei, C. Bechinger, D. Rudhardt, P. Leiderer, Phys. Rev. Lett. 81, 2606 (1998)

    ADS  Google Scholar 

  72. K. Loudiyi, B.J. Ackerson, Physica A 184, 1 (1992)

    ADS  Google Scholar 

  73. C. Bechinger, Q.H. Wei, P. Leiderer, J. Phys.: Condens. Matter 12, A425 (2000)

    ADS  Google Scholar 

  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)

    ADS  Google Scholar 

  75. M. Brunner, C. Bechinger, Phys. Rev. Lett. 88, 248302 (2002)

    ADS  Google Scholar 

  76. B.V.R. Tata, R.G. Joshi, D.K. Gupta, J. Brijitta, B. Raj, Curr. Sci. 103, 1175 (2012)

    Google Scholar 

  77. E. Jaquay, L.J. Martínez, C.A. Mejia, M.L. Povinelli, Nano Lett. 13, 2290 (2013)

    ADS  Google Scholar 

  78. J. Mikhael, J. Roth, L. Helden, C. Bechinger, Nature 454, 501 (2008)

    ADS  Google Scholar 

  79. R. Castañeda-Priego, S. Herrera-Velarde, C. Dalle-Ferrier, S.U. Egelhaaf (in preparation)

  80. R. Festa, E. d’Agliano, Phys. A: Stat. Mech. Appl. 90, 229 (1978)

    Google Scholar 

  81. R.D.L. Hanes, M. Schmiedeberg, S.U. Egelhaaf, [arXiv 1309.4801] (2013)

  82. B. Vorselaars, A.V. Lyulin, K. Karatasos, M.A.J. Michels, Phys. Rev. E 75, 011504 (2007)

    ADS  Google Scholar 

  83. R. Zangi, S.A. Rice, Phys. Rev. Lett. 92, 035502 (2004)

    ADS  Google Scholar 

  84. B. Cui, B. Lin, S.A. Rice, J. Chem. Phys. 114, 9142 (2001)

    ADS  Google Scholar 

  85. C. Hyeon, D. Thirumalai, Proc. Nat. Acad. Sci. 100, 10249 (2003)

    ADS  Google Scholar 

  86. H. Janovjak, H. Knaus, D.J. Muller, J. Am. Chem. Soc. 129, 246 (2007)

    Google Scholar 

  87. M.P. Lettinga, E. Grelet, Phys. Rev. Lett. 99, 197802 (2007)

    ADS  Google Scholar 

  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. K. Dholakia, W. Lee, Adv. Atom. Mol. Opt. Phys. 56, 261 (2008)

    ADS  Google Scholar 

  90. A. Ashkin, Biophys. J. 61, 569 (1992)

    ADS  Google Scholar 

  91. A. Ashkin, J.M. Dziedzic, J.E. Bjorkholm, S. Chu, Opt. Lett. 11, 288 (1986)

    ADS  Google Scholar 

  92. M. Kerker, The Scattering of Light and other Electromagnetic Radiation (Academic Press, 1969)

  93. Y. Harada, T. Asakura, Opt. Comm. 124, 529 (1996)

    ADS  Google Scholar 

  94. K. Svoboda, S.M. Block, Ann. Rev. Biophys. Biomol. Struct. 23, 247 (1994)

    Google Scholar 

  95. S.M. Barnett, R. London, J. Phys. B.: At. Mol. Opt. Phys. 39, S671 (2006)

    ADS  Google Scholar 

  96. C. Zunke, R.D.L. Hanes, F. Evers, S.U. Egelhaaf (in preparation)

  97. T. Tlusty, A. Meller, R. Bar-Ziv, Phys. Rev. Lett. 81, 1738 (1998)

    ADS  Google Scholar 

  98. D. Bonessi, K. Bonin, T. Walker, J. Opt. A: Pure Appl. Opt. 9, S228 (2007)

    ADS  Google Scholar 

  99. R.D.L. Hanes, C. Zunke, F. Evers, S.U. Egelhaaf (in preparation)

  100. A. Chowdhury, B.J. Ackerson, N.A. Clark, Phys. Rev. Lett. 55, 833 (1985)

    ADS  Google Scholar 

  101. W. Köhler, R. Schäfer, Adv. Polym. Sci. 151, 1 (2000)

    Google Scholar 

  102. S. Wiegand, J. Phys.: Condens. Matter 16, R357 (2004)

    ADS  Google Scholar 

  103. E.S. Pagac, R.D. Tilton, D.C. Prieve, Chem. Eng. Comm. 148–150, 105 (1996)

    Google Scholar 

  104. J. Leach, H. Mushfique, S. Keen, R. Di Leonardo, G. Ruocco, J.M. Cooper, M.J. Padgett, Phys. Rev. E 79, 026301 (2009)

    ADS  Google Scholar 

  105. P. Sharma, S. Ghosh, S. Bhattacharya, Appl. Phys. Lett. 97, 104101 (2010)

    ADS  Google Scholar 

  106. J.C. Crocker, D.G. Grier, J. Coll. Interf. Sci. 179, 298 (1996)

    Google Scholar 

  107. M.C. Jenkins, S.U. Egelhaaf, Adv. Coll. Interf. Sci. 136, 65 (2008)

    Google Scholar 

  108. W. van Megen, T.C. Mortensen, S.R. Williams, J. Müller, Phys. Rev. E 58, 6073 (1998)

    ADS  Google Scholar 

  109. D.S. Dean, I.T. Drummond, R.R. Horgan, J. Phys. A: Math. Gen. 30, 385 (1997)

    MathSciNet  ADS  MATH  Google Scholar 

  110. D.S. Dean, I.T. Drummond, R.R. Horgan, J. Phys. A: Math. Gen. 37, 2039 (2004)

    MathSciNet  ADS  MATH  Google Scholar 

  111. C. Touya, D.S. Dean, J. Phys. A: Math. Theor. 40, 919 (2007)

    MathSciNet  ADS  MATH  Google Scholar 

  112. J.C. Dyre, Phys. Rev. B 51, 12276 (1995)

    ADS  Google Scholar 

  113. P.N. Pusey, W. van Megen, Nature 320, 340 (1986)

    ADS  Google Scholar 

  114. K.S. Schweizer, Curr. Opin. Coll. Interf. Sci. 12, 297 (2007)

    Google Scholar 

  115. K.S. Schweizer, E.J. Saltzman, J. Chem. Phys. 119, 1181 (2003)

    ADS  Google Scholar 

  116. C. Lutz, M. Kollmann, C. Bechinger, Phys. Rev. Lett. 93, 026001 (2004)

    ADS  Google Scholar 

  117. I.O. Götze, J.M. Brader, M. Schmidt, H. Löwen, Mol. Phys. 101, 1651 (2003)

    ADS  Google Scholar 

  118. K. Franzrahe, P. Nielaba, Phys. Rev. E 76, 061503 (2007)

    ADS  Google Scholar 

  119. K. Franzrahe, P. Nielaba, Phys. Rev. E 79, 051505 (2009)

    ADS  Google Scholar 

  120. A. Imhof, J.K.G. Dhont, Phys. Rev. E 52, 6344 (1995)

    ADS  Google Scholar 

  121. T. Voigtmann, J. Horbach, Phys. Rev. Lett. 103, 205901 (2009)

    ADS  Google Scholar 

  122. J. Bewerunge, C. Zunke, S. Glöckner, F. Evers, S.U. Egelhaaf (in preparation)

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Authors and Affiliations

  1. Condensed Matter Physics Laboratory, Heinrich Heine University, 40225, Düsseldorf, Germany

    F. Evers, R. D. L. Hanes, C. Zunke, R. F. Capellmann, J. Bewerunge, C. Dalle-Ferrier, M. C. Jenkins & S. U. Egelhaaf

  2. Institute of Physical Chemistry, University Münster, 48149, Münster, Germany

    I. Ladadwa & A. Heuer

  3. Fahad Bin Sultan University, 71454, Tabuk, Saudi-Arabia

    I. Ladadwa

  4. Division of Sciences and Engineering, University of Guanajuato, 37150, León, Mexico

    R. Castañeda-Priego

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  1. F. Evers
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Evers, F., Hanes, R.D.L., Zunke, C. et al. Colloids in light fields: Particle dynamics in random and periodic energy landscapes. Eur. Phys. J. Spec. Top. 222, 2995–3009 (2013). https://doi.org/10.1140/epjst/e2013-02071-2

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