Log-Correlated Large-Deviation Statistics Governing Huygens Fronts in Turbulence
Log-Correlated Large-Deviation Statistics Governing Huygens Fronts in Turbulence
复制标题
湍流中惠更斯锋的对数相关大偏差统计
DOI：
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发表时间：
2019
影响因子：
1.6
通讯作者：
A. Kerstein
中科院分区：
文献类型：
--
作者：
J. Mayo;A. Kerstein
关于湍流中惠更斯阵面整体推进的速度是消失的还是在局部阵面传播速度消失的极限范围内保持有限的，分析意见不一。这里，与对数相关随机过程的大偏差统计量的联系使得能够确定正确的小-$$u_0$$u0渐近性。这一结果与几种理论和唯象观点相一致的结论是，对于消失的$$u0$$u0，$$uT$$uT仍然是有限的，这意味着在消失的粘性极限内，传播反常类似于能量耗散反常。在这个极限下，预言了各种前序结构性质，如与前缘几何有关的体积长度尺度的新的$$u_0$$u0依赖关系。分析涉及到扩散标量的随机平流的形式类比。
Analyses have disagreed on whether the velocity $$u_T$$uT of bulk advancement of a Huygens front in turbulence vanishes or remains finite in the limit of vanishing local front propagation speed $$u_0$$u0. Here, a connection to the large-deviation statistics of log-correlated random processes enables a definitive determination of the correct small-$$u_0$$u0 asymptotics. This result reconciles several theoretical and phenomenological perspectives with the conclusion that $$u_T$$uT remains finite for vanishing $$u_0$$u0, which implies a propagation anomaly akin to the energy-dissipation anomaly in the limit of vanishing viscosity. Various leading-order structural properties such as a novel $$u_0$$u0 dependence of a bulk length scale associated with front geometry are predicted in this limit. The analysis involves a formal analogy to random advection of diffusive scalars.
计算多重分形模式中的函数波动和极值阈值：理想 1/f 噪声的案例研究
影响因子：
1.6
作者：
Fyodorov Y
通讯作者：
Fyodorov Y