Dispersion Coefficients by a Field-Theoretic Renormalization of Fluid Mechanics
Statistical Mechanics
2009-11-07 v1
Abstract
We consider subtle correlations in the scattering of fluid by randomly placed obstacles, which have been suggested to lead to a diverging dispersion coefficient at long times for high Peclet numbers, in contrast to finite mean-field predictions. We develop a new master equation description of the fluid mechanics that incorporates the physically relevant fluctuations, and we treat those fluctuations by a renormalization group procedure. We find a finite dispersion coefficient at low volume fraction of disorder and high Peclet numbers.
Cite
@article{arxiv.cond-mat/0109180,
title = {Dispersion Coefficients by a Field-Theoretic Renormalization of Fluid Mechanics},
author = {Michael W. Deem and Jeong-Man Park},
journal= {arXiv preprint arXiv:cond-mat/0109180},
year = {2009}
}
Comments
4 pages, 1 figure; to appear in Phys. Rev. Lett