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Phys. Rev. E 77, 042102 (2008) [4 pages]

Dumbbell diffusion in a spatially periodic potential

Jochen Bammert, Steffen Schreiber, and Walter Zimmermann
Theoretische Physik I, Universität Bayreuth, D-95440 Bayreuth, Germany
Received 2 October 2007; published 21 April 2008

We present a numerical investigation of the Brownian motion and diffusion of a dumbbell in a two-dimensional periodic potential. Its dynamics is described by a Langevin model including the hydrodynamic interaction. With increasing values of the amplitude of the potential we find along the modulated spatial directions a reduction of the diffusion constant and of the impact of the hydrodynamic interaction. For modulation amplitudes of the potential in the range of the thermal energy the dumbbell diffusion exhibits a pronounced local maximum at a wavelength of about 3/2 of the dumbbell extension. This is especially emphasized for stiff springs connecting the two beads.

©2008 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.77.042102
DOI: 10.1103/PhysRevE.77.042102
PACS: 05.40.-a; 87.15.Vv; 82.35.Lr
  • 05.40.-a
    Fluctuation phenomena, random processes, noise, and Brownian motion
  • 87.15.Vv
    Diffusion (molecular biophysics)
  • 82.35.Lr
    Physical properties of polymers relating to polymer chemistry
  • YEAR: 2008
KEYWORDS: Brownian motion, diffusion, hydrodynamics

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