تعیین پارامترهای غیر جهانشمول برای برخی مدل های گسسته رشد کلاس KPZ

نوع مقاله: مقاله پژوهشی کامل

نویسنده

گروه فیزیک، دانشکده علوم، دانشگاه نیشابور، نیشابور ، ایران

چکیده

در این مقاله، ما تلاش می‌کنیم تا پارامترهای غیرجهانشمول برخی از مدل های گسسته رشد که در کلاس جهانشمول KPZ قرار دارند را در یک و دو بعد بررسی کنیم. بر اساس یک تحقیق نسبتاً جامع، ما این پارامترها را با دقت خوبی نسبت به سایر گزارش ها بدست می آوریم. مهمترین یافته مقاله پیش رو برآورد بسیار دقیق پارامتر غیرخطی معادله KPZ است. برای این منظور، ما روش رشد در شرایط مایل را به عنوان یک روش مفید برای مطالعه و سنجش غیرخطی ها در معادلات متناظر به کار می بریم. نتایج نشان می دهد که این روش می تواند برای اطمینان یافتن از اینکه نوعی جمله غیرخطی به صورت مربع گرادیان-ارتفاع در سایر مدل های رشد وجود دارد، مورد استفاده قرار گیرد.

کلیدواژه‌ها


عنوان مقاله [English]

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

نویسنده [English]

  • Ebrahim Daryaei
Department of Physics, Faculty of Basic Sciences, University of Neyshabur, P.O. Box 91136-899, Neyshabur, Iran
چکیده [English]

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.

کلیدواژه‌ها [English]

  • Growth models
  • Universality
  • KPZ equation
  • Growth exponents
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