2004/04/08 by T. R. Krishna Mohan, T. R. Krishna Mohanand, Mohan, T. R. Krishna +2
Earth and Planetary Sciences · Physics and Astronomy · #Aeolian processes and effects #Astro and Planetary Science #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Planetary Science and Exploration #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0404219
4 pages, 4 figures; 1.8 MB pdf file; Submitted to Physical Review Letters
arxiv created 2004/04/08 · openalex publication_date 2004/04/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study a simple 1D model of dust rods, with mean size μ, passing through a parallel 1D alignment of pores as a problem of clogging of a filter by dust grains; μis kept less than the pore size, s. We assume that the filter is "sticky", characterized by some parameter 0 ≤ λ≤ 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, Ncl, grows in time as tNclog ∝ Nclν, where ν= ν(μ,λ) is a non-universal exponent that depends upon the dust size distribution and filter properties.