Random Spacing between Metal Tree Electrodeposits in Linear DLA Arrays

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 rectang...

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Main Authors: Jaad Tannous, Lina Anouti, Rabih Sultan
Format: Article
Language:English
Published: MDPI AG 2018-08-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/9/643
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author Jaad Tannous
Lina Anouti
Rabih Sultan
author_facet Jaad Tannous
Lina Anouti
Rabih Sultan
author_sort Jaad Tannous
collection DOAJ
description 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.
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spelling doaj.art-405720cb2c1949b5abe04febe474c5352022-12-22T02:53:35ZengMDPI AGEntropy1099-43002018-08-0120964310.3390/e20090643e20090643Random Spacing between Metal Tree Electrodeposits in Linear DLA ArraysJaad Tannous0Lina Anouti1Rabih Sultan2Department of Physics, American University of Beirut, P.O. Box 11-0236, Riad El Solh, 1107 2020 Beirut, LebanonDepartment of Chemistry, American University of Beirut, P.O. Box 11-0236, Riad El Solh, 1107 2020 Beirut, LebanonDepartment of Chemistry, American University of Beirut, P.O. Box 11-0236, Riad El Solh, 1107 2020 Beirut, LebanonWhen 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.http://www.mdpi.com/1099-4300/20/9/643electrodepositionfractalsinter-tree distanceentropy
spellingShingle Jaad Tannous
Lina Anouti
Rabih Sultan
Random Spacing between Metal Tree Electrodeposits in Linear DLA Arrays
Entropy
electrodeposition
fractals
inter-tree distance
entropy
title Random Spacing between Metal Tree Electrodeposits in Linear DLA Arrays
title_full Random Spacing between Metal Tree Electrodeposits in Linear DLA Arrays
title_fullStr Random Spacing between Metal Tree Electrodeposits in Linear DLA Arrays
title_full_unstemmed Random Spacing between Metal Tree Electrodeposits in Linear DLA Arrays
title_short Random Spacing between Metal Tree Electrodeposits in Linear DLA Arrays
title_sort random spacing between metal tree electrodeposits in linear dla arrays
topic electrodeposition
fractals
inter-tree distance
entropy
url http://www.mdpi.com/1099-4300/20/9/643
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