Two-Dimensional Ising Models with Layered Quenched Bond Randomness. I : The Devil's Staircase of the Distribution Function and the Specific Heat for Random Ferromagnets : Condensed Matter and Statistical Physics

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概要

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• Exactly solvable two-dimensional Ising models with McCoy-Wu type layered quenched bond randomness are studied both analytically and numerically. For binary type bond distributions, it is proved that the distribution function of a random variable, which appears in the exact solution, shows the devil's staircase structure for a certain range of temperatures. By using a direct iteration method, the free energy and the specific heat are calculated in such a way as to give the numerically exact solution for a finite system. The specific heat does not show divergent behavior around the 'critical' temperature. The behavior is explained in terms of the distribution function.

• 理論物理学刊行会の論文
• 1986-06-25

著者

• AKUTSU Yasuhiro

  Institute of Physics, College of general Education University of Tokyo

• Matsumoto Koh

  Department Of Material Physics Faculty Of Engineering Science Osaka University

• Matsumoto K

  Department Of Electronics And Informatics Faculty Of Engineering Toyama Prefectural University

• MATSUMOTO Kazuyuki

  Institute of Physics,College of Arts and Sciences,University of Tokyo

• Akutsu Yasuhiro

  Institute Of Physics College Of Arts And Sciences University Of Tokyo

• Matsumoto Kazuyuki

  Institute Of Physics College Of Arts And Sciences University Of Tokyo

• AKUTSU Yasuhiro

  Institute of Physics, College of Arts and Sciences University of Tokyo

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