y Equation as a ParThe Most Effective Model for Describing the Universal Behavior of a Noisy Kuramoto-Sivashinskadigmatic Mode
y Equation as a ParThe Most Effective Model for Describing the Universal Behavior of a Noisy Kuramoto-Sivashinskadigmatic Mode
复制标题
y 方程作为描述噪声 Kuramoto-Sivashinskadigmatic 模式的普遍行为的最有效模型
DOI：
10.1007/s10955-018-2125-7
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发表时间：
2018
影响因子：
1.6
通讯作者：
Shin-ichi Sasa
中科院分区：
文献类型：
--
作者：
Yuki Minami;Shin-ichi Sasa
我们研究了一个描述不稳定表面生长和化学湍流的有噪声的Kuramoto-Sivashinsky（KS）方程。证明了该方程的普适长波长行为可用Kardar-Parisi-Zhang（KPZ）方程描述，其特征参数与尺度有关.通过分析一类广义KPZ方程的重整化群方程，我们考虑了这个猜想。然后，我们唯一地确定的KPZ方程的参数值，最有效地描述了普遍的长波长行为的噪声KS方程。
We study a noisy Kuramoto–Sivashinsky (KS) equation which describes unstable surface growth and chemical turbulence. It has been conjectured that the universal long-wavelength behavior of the equation, which is characterized by scale-dependent parameters, is described by a Kardar–Parisi–Zhang (KPZ) equation. We consider this conjecture by analyzing a renormalization-group equation for a class of generalized KPZ equations. We then uniquely determine the parameter values of the KPZ equation that most effectively describes the universal long-wavelength behavior of the noisy KS equation.