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Dumbbell diffusion in a spatially periodic potential

2008/04/21 by Jochen Bammert, Steffen Schreiber, Walter Zimmermann
Biochemistry, Genetics and Molecular Biology · Materials Science · Physics and Astronomy · #Amplitude #Brownian dynamics #Brownian motion #Classical mechanics #Diffusion #Diffusion and Search Dynamics #Diffusion process #Dumbbell #Fick's laws of diffusion #Material Dynamics and Properties #Materials science #Mechanics #Optics #Physics #Quantum mechanics #Range (aeronautics) #Statistical physics #Wavelength #physics.class-ph #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physreve.77.042102

published as Phys. Rev. E 77, (2008) 042102 · 4 pages, 7 figures, published in Phys. Rev. E (2008)

openalex publication_date 2008/04/21 · arxiv created 2008/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations