Scaling, Renormalization and Statistical Conservation Laws in the Kraichnan Model of Turbulent Advection
Scaling, Renormalization and Statistical Conservation Laws in the Kraichnan Model of Turbulent Advection
复制标题
湍流平流 Kraichnan 模型中的标度、重正化和统计守恒定律
DOI：
10.1007/s10955-006-9205-9
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
Paolo Muratore
中科院分区：
文献类型：
--
作者：
A. Kupiainen;Paolo Muratore
本文提出了一种系统的方法来计算Kraichnan湍流平流模型结构函数在一系列ξ次方中的标度指数，一维耦合常数衡量平流速度场的粗糙程度。我们还研究了标准群和重整化群之间的关系，改进了微扰理论。其目的是阐明重整化群方法与Kraichnan模型(也称为零模)的统计守恒定律之间的关系。
We present a systematic way to compute the scaling exponents of the structure functions of the Kraichnan model of turbulent advection in a series of powers of ξ, adimensional coupling constant measuring the degree of roughness of the advecting velocity field. We also investigate the relation between standard and renormalization group improved perturbation theory. The aim is to shed light on the relation between renormalization group methods and the statistical conservation laws of the Kraichnan model, also known as zero modes.