Academic Journal
Analytic self-similar solutions of the Kardar-Parisi-Zhang interface growing equation with various noise terms
| العنوان: | Analytic self-similar solutions of the Kardar-Parisi-Zhang interface growing equation with various noise terms |
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| المؤلفون: | Barna, Imre F., Bognár, Gabriella, Guedda, Mohammed, Mátyás, László, Hriczó, Krisztián |
| المصدر: | Mathematical Modelling and Analysis; Vol 25 No 2 (2020); 241-256 ; 1648-3510 ; 1392-6292 |
| بيانات النشر: | VILNIUS TECH Press Technika |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | self-similar solution, KPZ equation, Gaussian noise, Lorentzian noise, special functions, Heun functions |
| الوصف: | The one-dimensional Kardar-Parisi-Zhang dynamic interface growth equation with the self-similar ansatz is analyzed. As a new feature additional analytic terms are added. From the mathematical point of view, these can be considered as various noise distribution functions. Six different cases were investigated among others Gaussian, Lorentzian, white or even pink noise. Analytic solutions are evaluated and analyzed for all cases. All results are expressible with various special functions like Kummer, Heun, Whittaker or error functions showing a very rich mathematical structure with some common general characteristics. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://journals.vgtu.lt/index.php/MMA/article/view/10459/9724; http://journals.vgtu.lt/index.php/MMA/article/view/10459 |
| DOI: | 10.3846/mma.2020.10459 |
| الاتاحة: | http://journals.vgtu.lt/index.php/MMA/article/view/10459 https://doi.org/10.3846/mma.2020.10459 |
| Rights: | Copyright (c) 2020 The Author(s). Published by Vilnius Gediminas Technical University. ; http://creativecommons.org/licenses/by/4.0 |
| رقم الانضمام: | edsbas.661A232F |
| قاعدة البيانات: | BASE |
| DOI: | 10.3846/mma.2020.10459 |
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