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

Document Type : Full length research Paper

Author

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

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.

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References

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History

  • Receive Date: 20 August 2018
  • Revise Date: 22 February 2020
  • Accept Date: 04 May 2020

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