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arXiv · 1406.1680

Single-file diffusion on self-similar substrates

G. P. Suárez·H. O. Mártin·J. L. Iguain
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Abstract

We study the single file diffusion problem on a one-dimensional lattice with a self-similar distribution of hopping rates. We find that the time dependence of the mean-square displacement of both a tagged particle and the center of mass of the system present anomalous power laws modulated by logarithmic periodic oscillations. The anomalous exponent of a tagged particle is one half of the exponent of the center of mass, and always smaller than 1/4. Using heuristic arguments, the exponents and the periods of oscillation are analytically obtained and confirmed by Monte Carlo simulations.

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G. P. Suárez, H. O. Mártin, J. L. Iguain. 2014-06-06. Single-file diffusion on self-similar substrates. https://doi.org/10.1088/1742-5468%2F2014%2F07%2Fp07010

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