- Tytuł:
- Review on relationship between the universality class of the Kardar-Parisi-Zhang equation and the ballistic deposition model
- Autorzy:
-
Sayfidinov, Okhunjon
Bognar, Gabriella - Powiązania:
- https://bibliotekanauki.pl/articles/2174191.pdf
- Data publikacji:
- 2021
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
klasa uniwersalności
skalowanie
metoda perturbacyjna
universality class
ballistic deposition model
KPZ equation
finite-size scaling
perturbation method - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mechanics and Engineering; 2021, 26, 4; 206--216
1734-4492
2353-9003 - Pojawia się w:
- International Journal of Applied Mechanics and Engineering
- Dostawca treści:
- Biblioteka Nauki
Artykuł