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Comments on Wave-Like Propagation with Binary Disorder
Journal of Statistical Physics ( IF 1.6 ) Pub Date : 2021-02-07 , DOI: 10.1007/s10955-021-02699-0
Manuel O. Cáceres

In a recent paper (J Stat Phys 179:729–747, 2020) time evolution of the telegrapher’s equation subjected to a random velocity field was studied in the context of the effective medium approximation. In addition, the solution for the mean-value of the field was presented as a series expansion in Terwiel’s cumulants. Here we have proved that this expansion cuts if the random velocity field is emulated with a stationary exponential-correlated symmetric binary disorder. The present conclusion can also be used to tackle other wave-like models of propagation with Markovian binary disorder.



中文翻译:

关于二元紊乱波状传播的评论

在最近的一篇论文中(J Stat Phys 179:729–747,2020),在有效介质近似的背景下,研究了电报机方程在随机速度场作用下的时间演化。此外,该字段平均值的解决方案以Terwiel累积量的级数展开表示。在这里,我们已经证明,如果用固定的指数相关对称二元无序模拟随机速度场,则这种扩展将被削减。本结论也可用于解决马尔可夫二元紊乱的其他波状传播模型。

更新日期:2021-02-07
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