使用NMR测量分形维数
无序系统与神经网络
2009-11-07 v1 统计力学
摘要
关于Stallmach等人近期对水饱和砂土的PFG NMR测量（Phys. Rev. Lett. 88, 105505 (2002)）的评论。指出这些作者所使用的时间依赖扩散系数D(t)的常用公式不适用于分形表面。推导了在分形维数为Ds的表面上，(1-D(t)/D0) ~ t^[(3-Ds)/2]在短时间尺度下，其中D0为体态扩散系数。 presented for water saturated limestone and plastic beads are presented to illustrate this analysis. Preliminary PFG NMR data on water saturated limestone and plastic beads are presented to illustrate this analysis. Preliminary PFG NMR data on water saturated limestone and plastic beads are presented to illustrate this analysis.
引用
@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}
}
备注
1 page, 1 figure