透过Lévy玻璃的透射概率及其与Lévy行走的比较
Transmission probability through a Lévy glass and comparison with a Lévy walk
摘要：
最近的实验发现，光在半径呈幂律分布的随机堆积球体（即所谓的列维玻璃）中传播的距离为L时，透射概率T \propto 1/L^γ的尺度是超扩散的（γ < 1）。这些数据已被解释为Lévy行走。我们提出了计算机模拟来证明扩散标度（γ \approx 1）可以与步长分布的发散二阶矩（p（s）\propto 1/s^（1+α），α < 2）共存。这一发现与步长相关效应的分析预测一致，但偏离了人们对独立步长的Lévy行走的预期。
英文摘要：
Recent experiments on the propagation of light over a distance L through a random packing of spheres with a power law distribution of radii (a socalled Lévy glass) have found that the transmission probability T \propto 1/L^γ scales superdiffusively (γ < 1). The data has been interpreted in terms of a Lévy walk. We present computer simulations to demonstrate that diffusive scaling (γ \approx 1) can coexist with a divergent second moment of the step size distribution (p(s) \propto 1/s^(1+α) with α < 2). This finding is in accord with analytical predictions for the effect of step size correlations, but deviates from what one would expect for a Lévy walk of independent steps.
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