Jurčišinová E, Jurčišin M
Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, 040 01 Košice, Slovakia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jul;88(1):011004. doi: 10.1103/PhysRevE.88.011004. Epub 2013 Jul 30.
The field theoretic renormalization group and operator product expansion are used for an investigation of the anomalous scaling behavior of correlation functions of the weak magnetic field in the framework of the compressible Kazantsev-Kraichnan model. Two-loop expressions for the anomalous exponents of the correlation functions of arbitrary order in the presence of large-scale anisotropy are found as functions of compressibility. The influence of compressibility on the hierarchy of the anisotropic contributions is discussed, and it is shown that already relatively small compressibility can destroy the standard hierarchy of anisotropic anomalous exponents in the framework of which the leading contribution to the anomalous scaling is given by the isotropic shell.
在可压缩的卡赞采夫 - 克莱奇南模型框架下，利用场论重整化群和算符乘积展开来研究弱磁场关联函数的反常标度行为。找到了在存在大尺度各向异性情况下任意阶关联函数反常指数的两圈表达式，它是压缩率的函数。讨论了压缩率对各向异性贡献层次结构的影响，结果表明，在各向同性壳层对反常标度起主要贡献的框架下，即使相对较小的压缩率也可能破坏各向异性反常指数的标准层次结构。
