随机介质中波传播的动力学极限
Kinetic Limit for Wave Propagation in a Random Medium
摘要：
我们在简谐近似下研究晶体动力学。原子质量是弱无序的，即它们与均匀性的偏差为1/2。色散关系被假定为Morse函数，以抑制交叉干扰。然后我们证明了，在极限为0的无序平均维格纳函数的动力学标度，时间和空间的顺序<$^（-1），是由一个线性玻尔兹曼方程。
英文摘要：
We study crystal dynamics in the harmonic approximation. The atomic masses are weakly disordered, in the sense that their deviation from uniformity is of order epsilon^(1/2). The dispersion relation is assumed to be a Morse function and to suppress crossed recollisions. We then prove that in the limit epsilon to 0 the disorder averaged Wigner function on the kinetic scale, time and space of order epsilon^(-1), is governed by a linear Boltzmann equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
