标题： 巴格斯湍流的间歇性 显示英文标题

标题： Intermittency of Burgers' Turbulence

摘要： 我们考虑满足由高斯大尺度力驱动的Burgers方程的速度的概率密度函数（PDF）的尾部。 在路径积分中采用鞍点近似，使得PDF尾部的计算简化为找到实现概率极值的特殊场-力配置（瞬子）。 对于速度及其导数$u^{(k)} = \partial_x^ku$的PDF，找到了一般公式：$ln P (|u^{(k)}|) \propto -(|u^{(k)}|/(Re)^k)^{3/(k+1)}$。 显示英文摘要

摘要： We consider the tails of probability density function (PDF) for the velocity that satisfies Burgers equation driven by a Gaussian large-scale force. The saddle-point approximation is employed in the path integral so that the calculation of the PDF tails boils down to finding the special field-force configuration (instanton) that realizes the extremum of probability. For the PDFs of velocity and it's derivatives $u^{(k)} = \partial_x^ku$, the general formula is found: $ln P (|u^{(k)}|) \propto -(|u^{(k)}|/(Re)^k)^{3/(k+1)}$.