Kinetics of random sequential adsorption of two-dimensional shapes on a one-dimensional line

Abstract

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.

arXiv comment7 pages, 10 figures

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• Two-stage random sequential adsorption of discorectangles and disks on a two-dimensional surface
• "Paris car parking problem" for partially ordered discorectangles on a line
• Relaxation of saturated random sequential adsorption packings of discorectangles aligned on a line
• Random sequential adsorption of aligned rectangles with two discrete orientations: Finite-size scaling effects
• Random sequential adsorption of aligned regular polygons and rounded squares: Transition in the kinetics of packing growth