Cluster Sums and Related Coefficients of the Ising Model
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概要
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It is the purpose of the present paper to discuss the intuitive meaning and the interrelations of various coefficients of the Ising model. Thus, the intuitive meaning of b_<lm> and b^^-_<lm> the coefficients of cluster sums, is explained. Van der Waerden-Oguchi's expansion is generalized to the case with magnetic field and the coefficients Ω_<nm> is defined and its meaning is explained. The equivalence of the calculation of the susceptibility with zero field and the non-crossing chain problem is proved. And a method of evaluation of these coefficients is proposed which requires least labour of counting the graphs by using the decomposition of Fuchs' coefficients γ_k. The data of our calculations are listed in the Appendix. From these data an outlook of this problem to the future and the theory of the imperfect gases are discussed.
- 理論物理学刊行会の論文
- 1958-08-25
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