增益扩散介质中的涨落
Fluctuations in a diffusive medium with gain
摘要：
我们提出了一个随机模型放大，扩散介质，例如，随机激光。从一个简单的随机行走模型出发，导出了能量场的随机偏微分方程，其中包含一个乘性的随机平流项，从而得到能量场本身的幂律分布和非线性分布。维数分析表明，这样的功能是更有可能被观察到足够小的样本，并在较低的空间维度。
英文摘要：
We present a stochastic model for amplifying, diffusive media like, for instance, random lasers. Starting from a simple random-walk model, we derive a stochastic partial differential equation for the energy field with contains a multiplicative random-advection term yielding intermittency and power-law distributions of the field itself. Dimensional analysis indicate that such features are more likely to be observed for small enough samples and in lower spatial dimensions.
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