Estimation of the Non-Universal Parameters for some discrete growth models belonging to the KPZ class

Daryaei, Ebrahim

doi:10.22055/jrmbs.2020.15555

Estimation of the Non-Universal Parameters for some discrete growth models belonging to the KPZ class

Document Type : Full length research Paper

Author

Ebrahim Daryaei

Department of Physics, Faculty of Basic Sciences, University of Neyshabur, P.O. Box 91136-899, Neyshabur, Iran

10.22055/jrmbs.2020.15555

Abstract

In this paper, we try to estimate the non-universal parameters of some discrete growth models belonging to the Kardar-Parisi-Zhang (KPZ) universality class in both one and two dimensions. Based on a comprehensive numerical investigation, we obtain these parameters with good accuracy compared to other reports. The most important result of the present paper is the estimation of the nonlinear parameter of the KPZ equation with excellent accuracy. For this purpose, we apply the tilt method as a useful tool to characterize the nonlinearities of their associated equation. We believe this method can be used to ensure that there is a nonlinearity type square height-gradient for others discrete growth models.

Keywords

Growth models

Universality

KPZ equation

Growth exponents

Subjects

Thermodynamics and Statistical Mechanics

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