Using NMR to Measure Fractal Dimensions
Disordered Systems and Neural Networks
2009-11-07 v1 Statistical Mechanics
Abstract
A comment is made on the recent PFG NMR measurements by Stallmach, et al. on water-saturated sands [Phys. Rev. Lett. 88, 105505 (2002)]. It is pointed out that the usual law for the time-dependent diffusion coefficient D(t) used by these authors is not valid for a fractal surface. It is shown that (1-D(t)/D0) \~ t^[(3-Ds)/2] at short times for a surface of fractal dimension Ds, where D0 is the bulk diffusion coefficient. Preliminary PFG NMR data on water saturated limestone and plastic beads are presented to illustrate this analysis.
Keywords
Cite
@article{arxiv.cond-mat/0204431,
title = {Using NMR to Measure Fractal Dimensions},
author = {D. Candela and Po-zen Wong},
journal= {arXiv preprint arXiv:cond-mat/0204431},
year = {2009}
}
Comments
1 page, 1 figure