Artículos de revistas
Single-file diffusion on self-similar substrates
Suárez, Gonzalo Pablo; Martin, Hector Omar; Iguain, Jose Luis; Single-file diffusion on self-similar substrates; Iop Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 7-2014; 1-11
Suárez, Gonzalo Pablo
Martin, Hector Omar
Iguain, Jose Luis
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 article is one half of the exponent of the center of mass, and always smaller than 1/4. Using heuristic arguments, the exponents and the period of oscillations are analytically obtained and confirmed by Monte Carlo simulations.