Single-file diffusion on self-similar substrates

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.

12 pages, 6 figures

References in corpus (4)

• On the occurrence of oscillatory modulations in the power-law behavior of dynamic and kinetic processes in fractals
• Effective Edwards-Wilkinson equation for single-file diffusion
• Measurements of Charmless Hadronic b->s Penguin Decays in the pi+pi-K+pi- Final State and First Observation of B0 -> rho0K+pi-
• Log-periodic modulation in one-dimensional random walks

Cited by in corpus (1)

• Universal behavior for single-file diffusion on a disordered fractal