Hnatich M, Honkonen J, Jurcisin M, Mazzino A, Sprinc S
Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, 043 53 Kosice, Slovakia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jun;71(6 Pt 2):066312. doi: 10.1103/PhysRevE.71.066312. Epub 2005 Jun 28.
Inertial-range scaling behavior of high-order (up to order N=51 ) two-point correlation functions of a passively advected vector field has been analyzed in the framework of the rapid-change model with strong small-scale anisotropy with the aid of the renormalization group and the operator-product expansion. Exponents of the power-like asymptotic behavior of the correlation functions have been calculated in the one-loop approximation. These exponents are shown to depend on anisotropy parameters in such a way that a specific hierarchy related to the degree of anisotropy is observed. Deviations from power-law behavior like oscillations or logarithmic behavior in the corrections to correlation functions have not been found.
在具有强小尺度各向异性的快速变化模型框架下，借助重整化群和算符乘积展开，分析了被动平流矢量场的高阶（高达N = 51阶）两点关联函数的惯性范围标度行为。在单圈近似下计算了关联函数幂律渐近行为的指数。结果表明，这些指数依赖于各向异性参数，从而观察到与各向异性程度相关的特定层次结构。未发现关联函数修正中存在偏离幂律行为的情况，如振荡或对数行为。
