Correlation length by measuring empty space in simulated aggregates
摘要
We examine the geometry of the spaces between particles in diffusion-limited cluster aggregation, a numerical model of aggregating suspensions. Computing the distribution of distances from each point to the nearest particle, we show that it has a scaled form independent of the concentration phi, for both two- (2D) and three-dimensional (3D) model gels at low phi. The mean remoteness is proportional to the density-density correlation length of the gel, xi, allowing a more precise measurement of xi than by other methods. A simple analytical form for the scaled remoteness distribution is developed, highlighting the geometrical information content of the data. We show that the second moment of the distribution gives a useful estimate of the permeability of porous media.
引用
@article{arxiv.cond-mat/0202202,
title = {Correlation length by measuring empty space in simulated aggregates},
author = {R. M. L. Evans and M. D. Haw},
journal= {arXiv preprint arXiv:cond-mat/0202202},
year = {2009}
}
备注
4 pages