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Random Spacing between Metal Tree Electrodeposits in Linear DLA Arrays

Department of Physics, American University of Beirut, P.O. Box 11-0236, Riad El Solh, 1107 2020 Beirut, Lebanon
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;
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)
PDF [3879 KB, uploaded 28 August 2018]


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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Tannous, J.; Anouti, L.; Sultan, R. Random Spacing between Metal Tree Electrodeposits in Linear DLA Arrays. Entropy 2018, 20, 643.

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