Analytic self-similar solutions of the Kardar-Parisi-Zhang interface growing equation with various noise terms

Autor:	Imre F. Barna, Gabriella Bognár, Mohammed Guedda, László Mátyás, Krisztián Hriczó
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	self-similar solution KPZ equation Gaussian noise Lorentzian noise special functions Heun functions Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 25, Iss 2 (2020)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2020.10459
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/31e4f6a24f7a44818801c1ad77c1f1c1 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF