Theory of Classical Fluids:Hyper-Netted Chain Approximation, I : Formulation for a One-Component System
スポンサーリンク
概要
- 論文の詳細を見る
Several attempts have been presented to take account of terms corresponding to large graphs in the cluster expansion formulae for the free energy and the radial distribution function, for the purpose of applying them to a gas of not small density or to a liquid. In this paper is proposed an approximation, which includes the approximations in the past as the first or second approximation, by taking account of graphs which can be easily evaluated by means of the Fourier transformation. The graphs taken into account in our approximation are all those which can be constructed starting from a line [figure] or a ring [figure] by a sequence of the processes to replace a constituent line [figure] by a watermelon [figure];in the course of the replacement, a line in a watermelon is also allowed to be replaced by a watermelon. The approximaion will be called the hyper-netted chain approximation. The formulae obtained in this approximation for the free energy and the radial distribution function are given by eqs.(29')-(30')and eq.(35), which demand the solution of a recurrence equation containing the Fourier transformations. The expansion formulae for the free energy and the radial distribution function by means of the"hyper-netted chains"are also presented. They contain the results in the hyper-netted chain approximation as their leading terms. Another set of the formulae in the hyper-netted chain approximation is given and compared with the theories for ionic systems in the past. Applications to practical problems will be given in forthcoming papers.
- 理論物理学刊行会の論文
- 1958-12-25
著者
-
Morita Tohru
Physical Institute Faculty Of Liberal Arts And Science Shizuoka University
-
Morita Tohru
Physics Department Tokyo Institute Of Technology
-
MORITA Tohru
Physics Department, Tokyo Institute of Technology
関連論文
- On the Landau Theory of Fermi Fluids Assembly of Quasi-Particles
- Existence of Energy Gaps in Disordered Systems
- Cell Theory of Classical Liquids : Phase Transition between Gas, Liquid and Solid : Part IV. F.C.C. Lattice Gases
- Cell Theory of Classical Liquids : Phase Transition between Gas, Liquid and Solid : Part III. Yvon's Method and its Generalization
- Cluster Variation Method of Cooperative Phenomena and its Generalization II. Quantum Statistics
- Bose-Einstein Lattice Gases equivalent to the Heisenberg Model of Ferro-, Antiferro- and Ferri-Magnetism
- Theory of Classical Fluids : Hyper-Netted Chain Approximation. II : Formulation for Multi-Component Systems
- Theory of Classical Fluids:Hyper-Netted Chain Approximation, I : Formulation for a One-Component System
- Bose-Einstein Lattice Gas Theory of Ferromagnetism
- Cluster Variation Meod of Cooperative Phenomena and its Generalization I
- Cell Theory of Classical Liquid. : Phase Transition between Gas, Liquid and Solid. Parts I and II.