Space-Time Correlation Functions in Quantal and Classical Binary Mixtures. I : General Formalism and Its Application to Classical Hard-Sphere Mixtures
スポンサーリンク
概要
- 論文の詳細を見る
A generalized Hartree equation developed on the basis of Mori's continued fraction method is extended to treat quantal binary mixtures, whence the quantal direct correlation functions of mixtures are expressed in terms of the density-density canonical correlations x_Q^<ij>. The Ornstein-Zernike relation for quantal mixtures is obtained. By use of these relations, integral equations (such as a quantal Percus-Yevick equation) for x_Q^<ij> are obtained. Self-consistent equations for the static and dynamic structure factors and the self-energies are set up. The classical hard-sphere mixture is investigated as a simple model of classical mixtures using these results in the classical limit. The dynamic structure factors in the collisionless region have the quasi-elastic peak corresponding to the mutual diffusion in addition to the zero sound peak.
- 理論物理学刊行会の論文
- 1973-09-25
著者
関連論文
- Equivalence of Three Kinetic Methods for Calculating the Space- Time Correlation Function
- Integral Equations for Neutral and Charged Quantum Fluids Including Extension of the Percus-Yevick Equation
- Space-Time Correlation Functions in Quantal and Classical Binary Mixtures.II : Liquid Metals as Coupled Electron-Ion Systems
- Integral Equations for Fluids with Long-Range and Short-Range Potentials : Application to a Charged Particle System
- Comparison of Local-Density and Quantal hypernetted-Chain Approximations in the Calculation of Electron Density Distribution
- Calculation of Pair Correlations in a Degenerate Electron Liquid
- Static Density Response Function of a Degenerate Electron Gas Calculated by Quantal Hyper-Netted Chain Equation
- Nonlocal Exchange-Correlation Potential for Inhomogeneous Electron Gas and Quantum Fluids
- A Series of Integral Equations for Liquids Varying from the PY to HNC Equation
- Derivation of Quantal Hyper-Netted Chain Equation from the Kohn-Sham Theory
- Kinetic Theory of Collective Modes in Classical Liquids
- Space-Time Correlation Functions in Quantal and Classical Binary Mixtures. I : General Formalism and Its Application to Classical Hard-Sphere Mixtures
- Pair Correlation Functions in Classical and Quantal Electron Gases
- A Generalization of the Hartree Approximation and the Quantal Space-Time Correlation Function
- Radial Distribution Functions and Bound Electronic Energy Levels in Hydrogen Plasmas
- Radial Distribution Function for Hard-Sphere Fermions at Zero and Finite Temperatures