This way seems to avoid partition function conceptively , but study the transformation which makes partition function unchanged . these transformations are made up of renormalization group 这种方法从概念上看它回避直接求配分函数，而代之以研究使配分函数保持不变的变换，这些变换构成所谓重整化群。
These values are the critical exponents of three - dimension site - lattice . we study the two - dimension triangular - bond lattice percolation with next - nearest - neighbor interactions on the renormalization group approach as well 另外，我们采用位置空间重整化群方法，对二维次近邻三角格子键渗流模型进行了研究。
The traits of the two kinds of lattice determine which method we use to study it . the site - block method is often for transitionally invariant lattice and decimation for fractals 这两种晶格的特点也就决定了在重整化群计算时选取什么样的粗粒化方法，平移对称晶格一般采用自旋?元块法，分形晶格采用格点消元法。
3 . a new tsaw model are proposed , we use the real space renormalization group approach to treat the model on square lattice . the threshold kc and the fractal dimension d are obtained respectively 我们提出了一种新的自回避行走模型(飞蚁模型) ，用重整化群方法计算了该模型的临界值和分形维数分别为kc = 0 . 545069 、 d = 0 . 814909 。
The real - space renormalization group approach is close to fractal and is widely used in geometric phase transition systems without hamilton , for example , percolation model , rock fracture model , flit ant model 实空间重整化群方法与分形有密切的关系，在不具有哈密顿的几何相变系统，如渗流，岩裂，自回避无规行走等模型广泛地被应用。
In the second chapter , combined with the two - dimension triangle lattice ising model , we show the procedures of the renormalization group methods and illustrate how to apply these methods to solve critical exponent in detail 在第二章中结合二维三角形晶格伊辛模型详细地介绍了重整化群方法的步骤以及如何应用重整化群方法来求解临界指数。
The real - space ( or position - space ) renormalization group method is close to fractal and is widely used in geometric phase transition systems without hamilton , for example , seepage , lattice animal and random walk 实空间(位置空间)重整化群方法与分形有密切的关系，在不具有哈密顿的几何相变系统，如渗流，晶格动物，无规行走等广泛地被应用。
In the third chapter , connected with the cube lattice model , we present the steps of the renormalization group and indicate the corresponding relationship between the fixed points of the renormalization group and the critical points 在第三章中结合立方晶格模型介绍了基于泛函积分的重整化群方法的几个步骤以及重整化群中的固定点和临界点的对应关系。
Renormalization group is an important method on phase transition and critical phenomena . the critical point and exponents of lattice by renormalization group are closer to the experimental values than by mean - field theory 在相变和临界现象的研究中，重整化群方法是一种重要的方法，用它计算出的晶格的临界指数和临界点比平均场理论的结果更接近实验值。
More often , the standard k - turbulent model is used . but there are some disadvantages of it . in this article , the kng - k - turbulent model is used which can make good result on transient flow and bend flow 在水电站工程实际应用中以往多采用的是标准的k -两方程模型，而本文采用了在标准k -模型基础上变形的重整化群k -模型( rng - k -模型) 。
