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。
In the forth chapter , we present the subsequent development of the renormalization group methods at the beginning . then based upon the electron - phonon model , we explain how to apply these methods to obtain the flow equations of the model 在第四章中首先介绍了重整化群方法的最新发展,并结合电子?声子模型详细介绍了如何用重整化群流方程方法导出系统的流方程。
Similar to percolation , the critical rock fracture model is established by renormalization group theory approach , and the relation between the fracture rules and the critical probability , and the fractal dimension , and the critical exponents is studied 类似与渗流模型,就岩裂模型我们提出岩裂规则系数的概念。在此基础上,对该模型进行了研究。得到一些有趣的结论。
Though we know the forms of partition function before and after transformation , we will not study directly the property of partition function itself but the transformation which makes it unchanged with the idea of renormalization group 我们虽然利用p - v路方法写出了重整化变换前后配分函数的形式,但并没有直接研究配分函数本身的性质,而采用了重整化群的思想,研究使配分函数保持不变的变换。
In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.