Density Renormalization Group for Classical Liquids
Density Renormalization Group for Classical Liquids
复制标题
经典液体的密度重整化群
DOI：
10.1093/ptep/pty148
复制
发表时间：
2019
影响因子：
3.5
通讯作者：
Satoshi Iso and Kiyoharu Kawana
中科院分区：
文献类型：
--
作者：
Miyatake;H.;佐伯加奈;Satoshi Iso and Kiyoharu Kawana
我们研究了液体对尺度变换的响应，这种尺度变换产生了液体密度的变化，并得到了一组相关函数的微分方程。这组方程，我们称之为密度重整化群方程（DRGE），类似于BBGKY层次，因为它涉及不同的多点相关函数。特别是，我们推导出DRGES的一个粒子的不可约顶点函数的液体进行勒让德变换，这使我们能够计算在较高密度的液体在较低密度的相关函数的性质。
We study the response of liquid to a scale transformation, which generates a change of the liquid density, and obtain a set of differential equations for correlation functions. The set of equations, which we call density renormalization group equations (DRGEs), is similar to the BBGKY hierarchy as it relates different multiple-point correlation functions. In particular, we derive DRGEs for one-particle irreducible vertex functions of liquid by performing Legendre transformations, which enables us to calculate properties of liquid at higher density in terms of correlation functions at lower density.