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Correlation length by measuring empty space in simulated aggregates | | R. M. L. Evans
; M. D. Haw
; | | Date: |
12 Feb 2002 | | Subject: | Statistical Mechanics; Soft Condensed Matter | cond-mat.stat-mech cond-mat.soft | | Abstract: | 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. | | Source: | arXiv, cond-mat/0202202 | | Services: | Forum | Review | PDF | Favorites | |
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