دورية أكاديمية
Transmissibility in Interactive Nanocomposite Diffusion: The Nonlinear Double-Diffusion Model
| العنوان: | Transmissibility in Interactive Nanocomposite Diffusion: The Nonlinear Double-Diffusion Model |
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| المؤلفون: | Amit K. Chattopadhyay, Bidisha Kundu, Sujit Kumar Nath, Elias C. Aifantis |
| المصدر: | Frontiers in Applied Mathematics and Statistics, Vol 8 (2022) |
| بيانات النشر: | Frontiers Media S.A., 2022. |
| سنة النشر: | 2022 |
| المجموعة: | LCC:Applied mathematics. Quantitative methods LCC:Probabilities. Mathematical statistics |
| مصطلحات موضوعية: | double diffusion, reproduction number, autocorrelation, spatiotemporal correlation, Fick's diffusion, Applied mathematics. Quantitative methods, T57-57.97, Probabilities. Mathematical statistics, QA273-280 |
| الوصف: | Model analogies and exchange of ideas between physics or chemistry with biology or epidemiology have often involved inter-sectoral mapping of techniques. Material mechanics has benefitted hugely from such interpolations from mathematical physics where dislocation patterning of platstically deformed metals and mass transport in nanocomposite materials with high diffusivity paths such as dislocation and grain boundaries, have been traditionally analyzed using the paradigmatic Walgraef-Aifantis (W-A) double-diffusivity (D-D) model. A long standing challenge in these studies has been the inherent nonlinear correlation between the diffusivity paths, making it extremely difficult to analyze their interdependence. Here, we present a novel method of approximating a closed form solution of the ensemble averaged density profiles and correlation statistics of coupled dynamical systems, drawing from a technique used in mathematical biology to calculate a quantity called the basic reproduction numberR0, which is the average number of secondary infections generated from every infected. We show that the R0 formulation can be used to calculate the correlation between diffusivity paths, agreeing closely with the exact numerical solution of the D-D model. The method can be generically implemented to analyze other reaction-diffusion models. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2297-4687 |
| Relation: | https://www.frontiersin.org/articles/10.3389/fams.2022.852040/full; https://doaj.org/toc/2297-4687 |
| DOI: | 10.3389/fams.2022.852040 |
| URL الوصول: | https://doaj.org/article/e2835ce54b86414bac8981c925c91d4f |
| رقم الأكسشن: | edsdoj.2835ce54b86414bac8981c925c91d4f |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 22974687 |
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| DOI: | 10.3389/fams.2022.852040 |