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Crossover effects and nontrivial scaling on the radial growth with competitive dynamics
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DOI：10.1088/1402-4896/ae65de.png)
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Abstract
En 中文
The growth phenomenon on surface and interface is common in nature. While extensive theoretical studies have been devoted to planar substrates, the widely observed radial growth has also received considerable attention, particularly within the Kardar-Parisi-Zhang (KPZ) universality class. However, the competitive growth and crossover effects in radial geometries remain less explored, which motivates this work. We comprehensively investigate the competitive growth and crossover effects between two types of radial growth systems, which belong to the Edwards-Wilkinson (EW) and KPZ universality classes, respectively. Here, the EW universality class includes the radial EW equation itself and the radial random deposition with surface relaxation (RDSR) model, while the KPZ class involves the radial KPZ equation and two typical discrete models, including the radial restricted solid-on-solid (RSOS) and ballistic deposition (BD). To credibly simulate the radial EW-KPZ equation with competitive growth, we employ two independent numerical schemes and obtain consistent results. To effectively simulate these radial growth models with competitive dynamics, we propose a novel and versatile growth algorithm for simulating the radial RDSR-RSOS and RDSR-BD models. During the growth processes, our results show that these radial growth systems all exhibit continuous crossover effects as the control parameters lambda or p vary. Both the radial EW-KPZ and RDSR-RSOS systems have similar scaling relations, while the radial RDSR-BD model exhibits non-trivial scaling properties. However, for the local roughness, both the radial EW-KPZ and RDSR-BD systems demonstrate negative correlations, whereas the radial RDSR-RSOS model exhibits positive correlations. Furthermore, we also present and compare the surface morphologies of these radial competitive growth under different control parameters.
Keywords:
crossover effects
KPZ dynamics
radial growth
competitive dynamics
scaling behavior
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