Chen Sicong, Kaplan Lev
Department of Physics and Engineering Physics, Tulane University, New Orleans, LA 70118, USA.
Entropy (Basel). 2023 Jan 13;25(1):161. doi: 10.3390/e25010161.
Weak scattering in a random disordered medium and the associated extreme-event statistics are of great interest in various physical contexts. Here, in the context of non-relativistic particle motion through a weakly correlated random potential, we show how extreme events in particle densities are strongly related to the stretching exponents, where the 'hot spots' in the intensity profile correspond to minima in the stretching exponents. This strong connection is expected to be valid for different random potential distributions, as long as the disorder is correlated and weak, and is also expected to apply to other physical contexts, such as deep ocean waves.
随机无序介质中的弱散射以及相关的极端事件统计在各种物理情境中都备受关注。在此，在非相对论粒子通过弱相关随机势运动的情境下，我们展示了粒子密度中的极端事件如何与拉伸指数紧密相关，其中强度分布中的“热点”对应于拉伸指数的最小值。只要无序是相关且微弱的，这种紧密联系预计对于不同的随机势分布都是有效的，并且预计也适用于其他物理情境，比如深海波浪。
