Single-fife diffusion on self-similar substrata

G. P. SUÁREZ; H.O. MÁRTIN; J.L. IGUAIN

Córdoba

Workshop; XIII Latin American Workshop on Nonlinear Phenomena; 2013

Comité Organizador

The diffusion of particles, interacting through a hard-core potential, in an unidimensional infinite lattice is known as single file diffusion. It is well known that the mean square displacement of a tagged particle behaves as Dx^2 ~ t^2v and presents two regimes: normal diffusion (v=1/2) for short times, and a sub-diffusive regime (v=1/4 ) for long times. Modifying the substrate on which the particles move, it is possible to change its time behavior. In particular, if we place barriers on a self-similar arrangement the time dependence of the mean square displacement is now modulated by logarithmic-periodic oscillations. In this work we use simple arguments to explain these oscillations and how the diffusion of the center of mass is affected. We also found an expression for the new exponents v in both regimes and investigated the effect of changing the concentration of particles. Monte Carlo simulations where used to confirm theoretical results.