Direct Numerical Observation of Anomalous Diffusion in Random Media

Abstract

We present computer simulations of anomalous diffusion, $<r^2(t)>\sim a{t}^{1-\delta }$, in two dimensions. The Monte Carlo calculations are in excellent agreement with previous renormalization group calculations. Interestingly, use of a high quality pseudo-random number generator is necessary to observe the anomalous diffusion. A linear-feedback, shift-register method leads to incorrect, ballistic motion of the random walkers.

J. Phys. A, to appear

References in corpus (4)

• Disorder-Induced Anomalous Kinetics in the $A+A\to \varnothing$ Reaction
• The Effect of Static Disorder and Reactant Segregation on the $A+B\to \varnothing$ Reaction
• Comment on Renormalization Group Study of the A+B->0 Diffusion-Limited Reaction
• Ionic Reactions in Two Dimensions with Disorder

Cited by in corpus (6)

• Freezing of dynamical exponents in low dimensional random media
• Reaction, Levy Flights, and Quenched Disorder
• Numerical Observation of Disorder-Induced Anomalous Kinetics in the A + A -> 0 Reaction
• Two-Dimensional Diffusion in the Presence of Topological Disorder
• Comment on ``Diffusion of Ionic Particles in Charged Disordered Media''
• ``Superfast'' Reaction in Turbulent Flow with Potential Disorder