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Fractal analysis of ballistic deposition model with power-law distributed noise | ||
| Journal of Interfaces, Thin Films, and Low dimensional systems | ||
| مقاله 3، دوره 7، شماره 2، مهر 2024، صفحه 747-755 اصل مقاله (1.26 M) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22051/jitl.2023.45106.1096 | ||
| نویسندگان | ||
| Masoumeh Rahimi1؛ Sakineh Hosseinabadi* 2؛ Amir Ali Masoudi* 3؛ Laleh Farhang Matin1 | ||
| 1Faculty of Physics, North Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| 2Faculty of Physics, East Tehran Branch, Islamic Azad University, Iran | ||
| 3Faculty of Condensed Matter Physics, Department of Physics, Alzahra University, Tehran, Iran | ||
| چکیده | ||
| The ballistic deposition model with power-law distributed noise (BD-PLN) has been simulated and investigated. Analysis of scaling exponents and statistical features seems essential in understanding the mechanism of noise in the phenomena. In the BD-PLN model, heterogeneous particles with rod-like shapes are deposited during growth time and lead to the forming of porous structures. By using the Hoshen-Kopelman algorithm, porous structures are converted to contour loops, and the fractal properties of the loops are considered. The fractal dimension of each loop, D_f, the fractal dimension of the contour set, d, the generalized dimensions, D_q, and the mass function, τ_q are calculated. The fractal dimension, d, increases as d = a + bμ^c versus μ exponent, and remains constant for μ >"μ" _c=3, where μ is the decay of the noise amplitude. The results indicate that augmentation of μ exponent and conspicuity of the Gaussian ballistic deposition model prepare to decrease in structure porosity and multi-affinity, and also increase in contour loops area and perimeter. | ||
| کلیدواژه‌ها | ||
| Ballistic deposition model؛ Power-law noise؛ Contour loops؛ Frac- tal dimension | ||
| عنوان مقاله [English] | ||
| تحلیل فرکتالی مدل رشد بالستیک با نوفه توزیعی قانون توان | ||
| نویسندگان [English] | ||
| معصومه رحیمی1؛ سکینه حسین آبادی2؛ انیر علی مسعودی3؛ لاله فرهنگ متین1 | ||
| 1گروه فیزیک، دانشگاه آزاد اسلامی واحد تهران شمال، تهران، ایران. | ||
| 2گروه فیزیک، دانشگاه آزاد اسلامی واحد تهران شرق، تهران شرق، ایران. | ||
| 3گروه ماده چکال، دانشکده فیزیک، دانشگاه الزهرا، تهران، ایران | ||
| مراجع | ||
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