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Random Spacing between Metal Tree Electrodeposits in Linear DLA Arrays

1
Department of Physics, American University of Beirut, P.O. Box 11-0236, Riad El Solh, 1107 2020 Beirut, Lebanon
2
Department of Chemistry, American University of Beirut, P.O. Box 11-0236, Riad El Solh, 1107 2020 Beirut, Lebanon
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(9), 643; https://doi.org/10.3390/e20090643
Received: 6 July 2018 / Revised: 28 July 2018 / Accepted: 30 July 2018 / Published: 28 August 2018
(This article belongs to the Special Issue Entropy: From Physics to Information Sciences and Geometry)
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Abstract

When we examine the random growth of trees along a linear alley in a rural area, we wonder what governs the location of those trees, and hence the distance between adjacent ones. The same question arises when we observe the growth of metal electro-deposition trees along a linear cathode in a rectangular film of solution. We carry out different sets of experiments wherein zinc trees are grown by electrolysis from a linear graphite cathode in a 2D film of zinc sulfate solution toward a thick zinc metal anode. We measure the distance between adjacent trees, calculate the average for each set, and correlate the latter with probability and entropy. We also obtain a computational image of the grown trees as a function of parameters such as the cell size, number of particles, and sticking probability. The dependence of average distance on concentration is studied and assessed. View Full-Text
Keywords: electrodeposition; fractals; inter-tree distance; entropy electrodeposition; fractals; inter-tree distance; entropy
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Tannous, J.; Anouti, L.; Sultan, R. Random Spacing between Metal Tree Electrodeposits in Linear DLA Arrays. Entropy 2018, 20, 643.

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