随机立方自催化反应-扩散系统相图的数值和重整化群分析。
Numerical and renormalization group analysis of the phase diagram of a stochastic cubic autocatalytic reaction-diffusion system.
机构信息
Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138-1204, USA.
Group of Nonlinear Physics, University of Santiago de Compostela, 15706 Santiago de Compostela, Spain.
出版信息
Phys Rev E. 2023 Mar;107(3-1):034213. doi: 10.1103/PhysRevE.107.034213.
The renormalization group is a set of tools that can be used to incorporate the effect of fluctuations in a dynamical system as a rescaling of the system's parameters. Here, we apply the renormalization group to a pattern-forming stochastic cubic autocatalytic reaction-diffusion model and compare its predictions with numerical simulations. Our results demonstrate a good agreement within the range of validity of the theory and show that external noise can be used as a control parameter in such systems.
重整化群是一组工具，可用于将动力学系统中波动的影响纳入系统参数的重新缩放中。在这里，我们将重整化群应用于形成图案的随机立方自催化反应-扩散模型，并将其预测与数值模拟进行比较。我们的结果表明，在理论的有效范围内具有良好的一致性，并表明外部噪声可作为此类系统中的控制参数。
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