Kinetics of random sequential adsorption of two-dimensional shapes on a one-dimensional line
Autor: | Adrian Baule, Konrad Kozubek, Piotr Kubala, Michał Cieśla |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
Materials science
Statistical Mechanics (cond-mat.stat-mech) Growth kinetics Kinetics FOS: Physical sciences Thermodynamics Function (mathematics) Ellipse 01 natural sciences Power law 010305 fluids & plasmas Condensed Matter::Soft Condensed Matter Random sequential adsorption 0103 physical sciences Line (geometry) Exponent 010306 general physics Condensed Matter - Statistical Mechanics |
Popis: | Saturated random sequential adsorption packings built of two-dimensional ellipses, spherocylinders, rectangles, and dimers placed on a one-dimensional line are studied to check analytical prediction concerning packing growth kinetics [A. Baule, Phys. Rev. Let. 119, 028003 (2017)]. The results show that the kinetics is governed by the power-law with the exponent $d=1.5$ and $2.0$ for packings built of ellipses and rectangles, respectively, which is consistent with analytical predictions. However, for spherocylinders and dimers of moderate width-to-height ratio, a transition between these two values is observed. We argue that this transition is a finite size effect that arises for spherocylinders due to the properties of the contact function. In general, it appears that the kinetics of packing growth can depend on packing size even for very large packings. 7 pages, 10 figures |
Databáze: | OpenAIRE |
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