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Simulation of random sequential adsorption: Efficient methods and resolution of conflicting results

Authors
Journal
Journal of Theoretical Biology
0022-5193
Publisher
Elsevier
Publication Date
Volume
102
Issue
3
Identifiers
DOI: 10.1016/0022-5193(83)90379-x

Abstract

Abstract The “fine-mesh” method of Finegold and Donnell for random placing of squares or circles violates the conditions for packing in the Palásti sense and yields values which are too low. However, we find that linear extrapolation to zero mesh size gives values consistent with those of other investigators and inconsistent with Palásti's conjecture. Repeated random trials followed by systematic placement of disks in the remaining isolated holes is a simple solution of the problem of inefficient simulation which motivated the work of Finegold and Donnell. Our 95% confidence interval for the fractional area covered by maximally packed disks is 0·5444±0·0024, which greatly exceeds their estimate of 0·5027 ± 0·0020 and agrees with Feder's value of 0·547 ± 0·001.

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