Critical Exponent of the Ising Model in the High Density Limit

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概要

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• The system under consideration is the d-dimensional simple hypercubical Ising ferromagnet with nearest-neighbor interaction. A critical exponent γ for the susceptibility is discussed in the high density limit (d→∞), and formal expressions for γ in powers of 1/d are derived. It is shown that the expansion forγ is not determined uniquely, contrary to the case of Curie point. It is suggested that the deviation of γ from mean field result is proportional to exp (-Bd) in the high density limit, and B is estimated by an extrapolation method.

• 理論物理学刊行会の論文
• 1972-01-25

著者

• Abe Ryuzo

  Department Of Emergency And Critical Care Medicine Chiba University Graduate School Of Medicine

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