High Temperature Limit of Cyelic Exchange Cluster Integrals for Hard Spheres
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概要
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Cyclic N-particle exchange terms for a hard sphere fluid are analysed in the limit that the thermal wavelength is much shorter than the hard sphere diameter (a). This is a path integral analysis of cluster integrals in virial expansions in equilibrium statistical mechanics. In the results, the dominant dependence of the N-particle cycle is given by the classical action of a rotation of a planar N-sided regular polygon (side a) through an angle 2π/N. Extension of these results to general permutations of N particles and the relation of the results to theories of the λ-transition in ^<>He are discussed.
- 理論物理学刊行会の論文
- 1973-12-25
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関連論文
- High Temperature Limit of Cyelic Exchange Cluster Integrals for Hard Spheres
- High Temperature Limit of the Exchange Third Virial Coefficient for Hard Spheres