Log-periodic oscillations for diffusion on self-similar finitely ramified structures

Details Log-periodic oscillations for diffusion on self-similar finitely ramified structures Log-periodic oscillations for diffusion on self-similar finitely ramified structures

2010-04-04

arxiv.org/abs/1004.0537v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

Under certain circumstances, the time behavior of a random walk is modulated by logarithmic periodic oscillations. The goal of this paper is to present a simple and pedagogical explanation of the origin of this modulation for diffusion on a substrate with two properties: self-similarity and finite ramification order. On these media, the time dependence of the mean-square displacement shows log-periodic modulations around a leading power law, which can be understood on the base of a hierarchical set of diffusion constants. Both the random walk exponent and the period of oscillations are analytically obtained for a pair of examples, one fractal, the other non-fractal, and confirmed by Monte Carlo simulations.

Affiliated with

Also associated with

No associations

Rating

Log-periodic oscillations for diffusion on self-similar finitely ramified structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Log-periodic oscillations for diffusion on self-similar finitely ramified structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Log-periodic oscillations for diffusion on self-similar finitely ramified structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-636326