Review on relationship between the universality class of the Kardar-Parisi-Zhang equation and the ballistic deposition model

• Autorzy: Sayfidinov Okhunjon , Bognar Gabriella

Identyfikatory

DOI

10.2478/ijame-2021-0060

• Języki publikacji: EN

Abstrakty

EN

We have analysed the research findings on the universality class and discussed the connection between the Kardar-Parisi-Zhang (KPZ) universality class and the ballistic deposition model in microscopic rules. In one dimension and 1+1 dimensions deviations are not important in the presence of noise. At the same time, they are very relevant for higher dimensions or deterministic evolution. Mostly, in the analyses a correction scale higher than 1280 has not been studied yet. Therefore, the growth of the interface for finite system size [...] value predicted by the KPZ universality class is still predominant. Also, values of [...] obtained from literature are consistent with the expected KPZ values of [...] connection between the ballistic deposition and the KPZ equation through the limiting procedure and by applying the perturbation method was also presented.

Słowa kluczowe

EN

universality class; ballistic deposition model; KPZ equation; finite-size scaling; perturbation method

PL

klasa uniwersalności; skalowanie; metoda perturbacyjna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2021
• Tom: Vol. 26, no. 4
• Strony: 206--216
• Opis fizyczny: Bibliogr. 47 poz., rys., wykr.

Twórcy

autor

Sayfidinov Okhunjon

• Miskolc-Egyetemvaros, 3515, Institute of Machine and Product Design University of Miskolc, HUNGARY

autor

Bognar Gabriella

• Miskolc-Egyetemvaros, 3515, Institute of Machine and Product Design University of Miskolc, HUNGARY

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)