Skip to main content
SpringerLink
Log in

Dumbbell transport and deflection in a spatially periodic potential

  • Regular Article
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract

We present theoretical results on the deterministic and stochastic motion of a dumbbell carried by a uniform flow through a three-dimensional spatially periodic potential. Depending on parameters like the flow velocity, there are two different kinds of movement: transport along a potential valley and a stair-like motion oblique to the potential trenches. The crossover between these two regimes, as well as the deflection angle, depend on the size of the dumbbell. Moreover, thermal fluctuations cause a resonance-like variation in the deflection angle as a function of the dumbbell extension.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P.T. Korda, M.B. Taylor, D.G. Grier, Phys. Rev. Lett. 89, 128301 (2002).

    Google Scholar 

  2. M. De Lucia, A. Mazzino, A. Vulpiani, Europhys. Lett. 60, 181 (2002).

    Google Scholar 

  3. M.P. MacDonald, G.C. Spalding, K. Dholakia, Nature 426, 421 (2003).

  4. J.A. Davis, Proc. Natl. Acad. Sci. U.S.A. 103, 14779 (2006).

    Google Scholar 

  5. R.L. Smith, G.C. Spalding, K. Dholakia, M.P. MacDonald, J. Opt. A: Pure Appl. Opt. 9, S134 (2007).

  6. B. Kaoui, Phys. Rev. E 77, 021903 (2008).

    Google Scholar 

  7. S. Kapishnikov, V. Kantsler, V. Steinberg, J. Stat. Mech. P01012 (2006).

  8. M.P. MacDonald, Science 296, 1101 (2002).

  9. K. Ladavac, K. Kasza, D.G. Grier, Phys. Rev. E 70, 010901(R) (2004).

  10. J. Bammert, S. Schreiber, W. Zimmermann, Phys. Rev. E 77, 042102 (2008).

    Google Scholar 

  11. P.M. Johnson, C.M. van Kats, A. van Blaaderen, Langmuir 21, 11510 (2005).

  12. T.C.B. McLeish, R.G. Larson, J. Rheol. 42, 81 (1998).

    Google Scholar 

  13. J. Rotne, S. Prager, J. Chem. Phys. 50, 4831 (1969).

    Google Scholar 

  14. J.K.G. Dhont, An Introduction to Dynamics of Colloids (Elsevier, Amsterdam, 1996).

  15. M. Pelton, K. Ladavac, D.G. Grier, Phys. Rev. E 70, 031108 (2004).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Theoretische Physik I, Universität Bayreuth, D-95440, Bayreuth, Germany

    J. Bammert & W. Zimmermann

Authors
  1. J. Bammert
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. W. Zimmermann
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to W. Zimmermann.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bammert, J., Zimmermann, W. Dumbbell transport and deflection in a spatially periodic potential. Eur. Phys. J. E 28, 331–335 (2009). https://doi.org/10.1140/epje/i2008-10421-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epje/i2008-10421-5

PACS

Search

Navigation