论文标题
在布朗颗粒云的边缘
At the edge of a cloud of Brownian particles
论文作者
论文摘要
我们研究了一个简单的模型，用于湍流中粒子的轨迹，在湍流中，布朗运动通过随机的高斯速度场传播。我们研究了该过程的淬火定律，并证明在弱环境环境中，KPZ方程描述了从弱疾病到强障碍的过渡时的波动。我们认为，没有假设弱环境也是如此。
We study a simple model for the trajectory of a particle in a turbulent fluid, where a Brownian motion travels through a random Gaussian velocity field. We study the quenched law of the process and prove that in a weak environment setting, the fluctuations at the transition from weak to strong disorder are described by the KPZ equation. We conjecture the same is true without the assumption of a weak environment.
