Diffusion of super-Gaussian profiles
| العنوان: | Diffusion of super-Gaussian profiles |
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| المؤلفون: | Pontus Johannisson, M. Desaix, C-J Rosenberg, Dan Anderson, Mietek Lisak |
| المصدر: | European Journal of Physics. 28:45-50 |
| بيانات النشر: | IOP Publishing, 2006. |
| سنة النشر: | 2006 |
| مصطلحات موضوعية: | Normal distribution, Physics, symbols.namesake, Diffusion equation, Exact solutions in general relativity, Simple (abstract algebra), Gaussian, symbols, General Physics and Astronomy, Statistical physics, Diffusion (business), Ansatz, Diffusion profile |
| الوصف: | The present analysis describes an analytically simple and systematic approximation procedure for modelling the free diffusive spreading of initially super-Gaussian profiles. The approach is based on a self-similar ansatz for the evolution of the diffusion profile, and the parameter functions involved in the modelling are determined by suitable moments of the diffusion equation. The resulting approximate solutions provide an accurate description of the evolution of the initial profile into the Gaussian profile, which is the asymptotically exact solution of the diffusion problem for, in fact, arbitrary initial conditions. |
| تدمد: | 1361-6404 0143-0807 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::28261bb2805895acaccf16e6a9cb03e1 https://doi.org/10.1088/0143-0807/28/1/005 |
| رقم الأكسشن: | edsair.doi...........28261bb2805895acaccf16e6a9cb03e1 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 13616404 01430807 |
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