Extensive numerical simulations on competitive growth between the Edwards–Wilkinson and Kardar–Parisi–Zhang universality classes  

作　　者：余成志 刘潇 唐军 夏辉 Chengzhi Yu;Xiao Liu;Jun Tang;Hui Xia(School of Materials Science and Physics,China University of Mining and Technology,Xuzhou 221116,China)

机构地区：[1]School of Materials Science and Physics,China University of Mining and Technology,Xuzhou 221116,China

出　　处：《Chinese Physics B》2024年第6期298-307,共10页中国物理B（英文版）

基　　金：supported by Undergraduate Training Program for Innovation and Entrepreneurship of China University of Mining and Technology (CUMT)(Grant No. 202110290059Z);Fundamental Research Funds for the Central Universities of CUMT (Grant No. 2020ZDPYMS33)。

摘　　要：Extensive numerical simulations and scaling analysis are performed to investigate competitive growth between the linear and nonlinear stochastic dynamic growth systems, which belong to the Edwards–Wilkinson(EW) and Kardar–Parisi–Zhang(KPZ) universality classes, respectively. The linear growth systems include the EW equation and the model of random deposition with surface relaxation(RDSR), the nonlinear growth systems involve the KPZ equation and typical discrete models including ballistic deposition(BD), etching, and restricted solid on solid(RSOS). The scaling exponents are obtained in both the(1 + 1)-and(2 + 1)-dimensional competitive growth with the nonlinear growth probability p and the linear proportion 1-p. Our results show that, when p changes from 0 to 1, there exist non-trivial crossover effects from EW to KPZ universality classes based on different competitive growth rules. Furthermore, the growth rate and the porosity are also estimated within various linear and nonlinear growths of cooperation and competition.

关 键 词：competitive growth scaling behavior discrete growth model Kardar–Parisi–Zhang universality class 

分 类 号：Q141[生物学—生态学] O175[生物学—普通生物学]