当前位置:
X-MOL 学术
›
Eur. Phys. J. B
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Influence of compressibility on scaling regimes of Kraichnan model with finite time correlations: two-loop RG analysis
The European Physical Journal B ( IF 1.6 ) Pub Date : 2020-04-15 , DOI: 10.1140/epjb/e2020-100484-0 Martin Menkyna
中文翻译:
可压缩性对具有有限时间相关性的Kraichnan模型的缩放比例的影响:两环RG分析
更新日期:2020-04-15
The European Physical Journal B ( IF 1.6 ) Pub Date : 2020-04-15 , DOI: 10.1140/epjb/e2020-100484-0 Martin Menkyna
Abstract
Using the field theoretic renormalization group technique the simultaneous influence of compressibility and finite time correlations of the non-solenoidal Gaussian velocity field on the advection of a passive scalar field is studied within the generalized Kraichnan model up to the second-order approximation in the corresponding perturbative expansion. The renormalization of the model is performed and explicit forms of the renormalization functions are found. All possible infrared stable fixed points of the model, which drive the corresponding scaling regimes of the model, are identified and their regions of the infrared stability in the model parametric space are discussed in detail. The attention is mainly paid to the properties of the most interesting scaling regime with the presence of the finite-time correlations of the velocity field. It is shown that, apart from two specific values of the parameter that drives the compressibility of the system, there exists a gap in the parametric space between regions where the model with the frozen velocity field and the model with finite-time correlations of the velocity field are stable.Graphical abstract
中文翻译:
可压缩性对具有有限时间相关性的Kraichnan模型的缩放比例的影响:两环RG分析