Classical Limit of the Random Spin-One Ising Model on a Cayley Tree

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概要

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• We study the random spin-one Ising model on a Cayley tree with coordination z where the coupling constants are Gaussian random variables. In the limit z→∞ we show rigorously that an iteration scheme is obtained which relates mean magnetizations and occupation numbers and their mean squares for successive shells of the lattice. The fixed points of the iteration scheme give local properties of the model and are in complete agreement with equations obtained previously using a pair approximation.

• 理論物理学刊行会の論文
• 1987-01-20

著者

• Thompson Colin

  Mathematics Department University Of Melbourne Parkville

• Thompson Colin

  Mathematics Department University Of Melbourne

• INAWASHIRO Sakari

  Department of Computer Science, Nihon University

• FRANKEL N.E.

  School of Physics, University of Melbourne

• Frankel Norman

  School Of Physics University Of Melbourne Parkville

• Inawashiro Sakari

  Department Of Applied Physics Faculty Of Engineering Toyoku University

• Inawashiro Sakari

  Department Of Applied Physics Tohoku University

• FRANKEL Norman

  School of Physics, University of Melbourne Parkville

• THOMPSON Colin

  Mathematics Department, University of Melbourne

• THOMPSON Colin

  Yukawa Institute for Theoretical Physics, Kyoto University:Mathematics Department, University of Melbourne

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