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Generalized ballistic deposition in 2 dimensions : scaling of surface width, porosity and conductivity

2015/03/03 by Subhankar Ray, Ray, Subhankar, Baisakhi Mal +3
Physics and Astronomy · #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1503.01047

9 pages, 20 figures

arxiv created 2015/03/03 · arxiv updated 2015/03/04

Abstract

A deposition process with particles having realistic intermediate stickiness is studied in 2+1 dimensions. At each stage of the deposition process, for any given configuration, a newly depositing particle gives rise to allowed set of configurations that are vastly larger than those for deposition of a mixture of purely non-sticky (random like) and purely sticky (ballistic like) particles. We obtain scaling behavior and demonstrate collapse of scaled data for surface width and porosity. Scaling of conductivity, when a porous structure thus formed, is saturated with conductive fluid, e.g. brine, is studied. The results obtained are in good agreement with Archie's law for porous sedimentary rocks.

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