Bose condensation and small-scale structure generation in a random force driven 2D turbulence.
Bose condensation and small-scale structure generation in a random force driven 2D turbulence.
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随机力驱动的二维湍流中的玻色凝结和小尺度结构生成。
DOI：
10.1103/physrevlett.71.352
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发表时间：
1993
影响因子：
8.6
通讯作者：
V. Yakhot
中科院分区：
文献类型：
--
作者：
L. Smith;V. Yakhot
我们考虑二维流动搅拌的小规模，白色的时间随机噪声在零粘度限制。数值模拟结果表明，在过渡状态后，通过逆级联过程建立了惯性能谱E（k）\ensuremath{\propto}${\mathit{k}}^{\mathrm{\ensuremath{-}}\mathit{x}}$，其中x=5/3\ifmmode\pm\else\textpm\fi{}0.05.这个范围随着时间的推移而增长，直到系统中形成最大尺度的玻色凝聚（k\ensuremath{\approxeq}1）。在凝聚形成之前，速度差的统计数据非常接近高斯，只有在玻色凝聚之后，才能在小尺度上检测到与高斯统计数据的强烈偏差。负责这种影响的结构被确定。
We consider two-dimensional flow stirred by a small-scale, white-in-time random noise in the zero viscosity limit. Numerical simulations show that, after a transient state, an inertial-range energy spectrum E(k)\ensuremath{\propto}${\mathit{k}}^{\mathrm{\ensuremath{-}}\mathit{x}}$ with x=5/3\ifmmode\pm\else\textpm\fi{}0.05 is established by the inverse cascade process. This range grows in time until a Bose condensate is formed at the largest scales in the system (k\ensuremath{\approxeq}1). Prior to condensate formation the statistics of velocity differences are extremely close to Gaussian, and only after Bose condensation strong deviations from Gaussian statistics are detected at small scales. The structures responsible for this effect are identified.