Dust Control in Finite Air Volumes at Zero Gravity - Mean-Field Like Analysis

Details Dust Control in Finite Air Volumes at Zero Gravity - Mean-Field Like Analysis Dust Control in Finite Air Volumes at Zero Gravity - Mean-Field Like Analysis

2004-04-08

arxiv.org/abs/cond-mat/0404219v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures; 1.8 MB pdf file; Submitted to Physical Review Letters

Scientific paper

We study a simple 1D model of dust rods, with mean size \mu, passing through a parallel 1D alignment of pores as a problem of clogging of a filter by dust grains; \mu is kept less than the pore size, s. We assume that the filter is "sticky", characterized by some parameter 0 \le \lambda \le 1, which means that dust grains slightly smaller in size than s can get trapped in the pores. Our analyses suggest that the number of clogged pores, N_{cl}, grows in time as t_N^{clog} \propto N_{cl}^{\nu}, where \nu = \nu(\mu,\lambda) is a non-universal exponent that depends upon the dust size distribution and filter properties.

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