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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MDPI AG
2018-08-01
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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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institution | Directory Open Access Journal |
issn | 1099-4300 |
language | English |
last_indexed | 2024-04-13T08:48:43Z |
publishDate | 2018-08-01 |
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series | Entropy |
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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