Integral Kernel of the Spin Glass Integral Equation for the Bethe Lattice

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概要

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• The integral equation for the distribution function g(h) of the effective field h is investigated. The Fourier transform S(x) of g(h) satisfies S(x)=(1/2π)∫^∞_<-∞>K(x,y)[S(y)]^<z-1>dy. The kernel K(x,y) which has been given by a double integral previously, is evaluated in terms of the hypergeometric functions. The behavior of K(x,y) is shown for various values of the temperatures. The result suggests that g(h) does not vary much below the spin glass transition temperature from the one at the temperature zero.

• 理論物理学刊行会の論文
• 1994-05-31

著者

• Katsura S

  Faculty Of Science And Engineering Tokyo Denki University : Tohoku College Of Engineering And Inform

• SEINO Mitsuhiro

  Faculty of Science and Engineering, Tokyo Denki University

• KATSURA Shigetoshi

  Faculty of Science and Engineering, Tokyo Denki University

• Seino M

  Univ. Ryukyus Okinawa Jpn

• KATSURA Shigetoshi

  Faculty of Science and Engineering, Tokyo Denki University : Tohoku College of Engineering and Information Sciences

関連論文

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• Ground State and the Magnetization Process of the Body-Centered Tetragonal Lattice with Ising Spins
• Theory of Spin Glass by the Method of the Distribution Function of an Effective Field
• Integral Kernel of the Spin Glass Integral Equation for the Bethe Lattice
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• Possibility of the Kosterlitz-Thouless Phase Transition in the Two Dimensional Fully Frustrated Ising Model
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• Annealed Ising Bond-Mixture on the Pyrite Lattices
• Random Mixture of the Ising Magnets in a Magnetic Field : Quenched Site and Bond Problems

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