Response function of turbulence computed via fluctuation-response relation of a Langevin system with vanishing noise
Response function of turbulence computed via fluctuation-response relation of a Langevin system with vanishing noise
复制标题
通过具有消失噪声的 Langevin 系统的波动响应关系计算湍流响应函数
DOI：
10.1103/physreve.89.061002
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发表时间：
2014
影响因子：
2.4
通讯作者：
and Akio Nakahara
中科院分区：
文献类型：
--
作者：
Takeshi Matsumoto;Michio Otsuki;Ooshida Takeshi;Susumu Goto;and Akio Nakahara
对于充分发展湍流的壳模型和傅立叶空间中的不可压缩Navier-Stokes方程，当人为地将高斯白色噪声添加到每个模式的方程中时，通过应用为非平衡Langevin系统开发的方法[Harada和Sasa，Phys. Rev. Lett. 95，130602（2005）PRLTA00031 -900710.1103/PhysRevLett.95.130602]。我们验证数值的壳模型的情况下，推导出的表达式的响应函数，作为噪声趋于零，收敛到无噪声的壳模型的响应函数。
For a shell model of the fully developed turbulence and the incompressible Navier-Stokes equations in the Fourier space, when a Gaussian white noise is artificially added to the equation of each mode, an expression of the mean linear response function in terms of the velocity correlation functions is derived by applying the method developed for nonequilibrium Langevin systems [Harada and Sasa, Phys. Rev. Lett. 95, 130602 (2005)PRLTAO0031-900710.1103/PhysRevLett.95.130602]. We verify numerically for the shell-model case that the derived expression of the response function, as the noise tends to zero, converges to the response function of the noiseless shell model.