Single File Diffusion of particles with long ranged interactions: damping and finite size effects
arXiv:1103.3642 · doi:10.1103/PhysRevE.84.011101
Abstract
We study the Single File Diffusion (SFD) of a cyclic chain of particles that cannot cross each other, in a thermal bath, with long ranged interactions, and arbitrary damping. We present simulations that exhibit new behaviors specifically associated to systems of small number of particles and to small damping. In order to understand those results, we present an original analysis based on the decomposition of the particles motion in the normal modes of the chain. Our model explains all dynamic regimes observed in our simulations, and provides convincing estimates of the crossover times between those regimes.
30 pages, 9 figures
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- Tunable diffusion of magnetic particles in a quasi-one-dimensional channel
- Analytical Calculation of Four-Point Correlations for a Simple Model of Cages Involving Numerous Particles
- Structural transitions in vertically and horizontally coupled parabolic channels of Wigner crystals
- Single-file and normal diffusion of magnetic colloids in modulated channels
- Scaling laws for single-file diffusion of adhesive particles
- Fast Brownian cluster dynamics
- Single file diffusion meets Feynman path integral