✦ LIBER ✦
Density expansions of distribution functions. I.: Virial expansion for finite closed systems: Canonical esemble
✍ Scribed by I. Oppenheim; P. Mazur
- Publisher
- Elsevier Science
- Year
- 1957
- Weight
- 782 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0031-8914
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✦ Synopsis
S y n o p s i s
A method is presented which enables one to obtain density expansions for the distribution functions for finite systems from integro-differential equations involving derivatives of these distribution functions with respect to density. I t is shown t h a t the ~tth coefficient in the density expansion is a polynomial in 1/N of degree 2. E x p l i c i t algebraic recursion relations are obtained for these coefficients. The results obtained are derived under the assumption of periodic boundary conditions and a study of this concept is given.