Surface-to-volume ratio with oscillating gradients
Soft Condensed Matter
2011-03-11 v2 Materials Science
Abstract
Restrictions to diffusion result in the dispersion of the bulk diffusion coefficient. We derive the exact universal high-frequency behavior of the diffusion coefficient in terms of the surface-to-volume ratio of the restrictions. This frequency dependence can be applied to quantify structure of complex samples with NMR using oscillating field gradients and static-gradient CPMG. We also demonstrate the inter-relations between different equivalent diffusion metrics, and describe how to calculate the effect of restrictions for arbitrary gradient waveforms.
Cite
@article{arxiv.1101.2669,
title = {Surface-to-volume ratio with oscillating gradients},
author = {Dmitry S. Novikov and Valerij G. Kiselev},
journal= {arXiv preprint arXiv:1101.2669},
year = {2011}
}
Comments
6 pages, 1 figure