Statistical Mechanics of a System of Ising Spins near the Transition Point

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概要

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• A linked cluster expansion for a system of Ising spins is rearranged into a form suitable for studying the phase transition of the system. A function I(q) analogous to proper selfenergy part in quantum theory is introduced and shown to play an important role to determine both the transition temperature and the singularity of thermodynamic functions at the transition point. The case above the transition temperature and without magnetic field is considered, and it is proved that diagrams for I(q) dominant near the transition point have precisely the same structure as in the system of Bose fluid. Thus the method developed by Patashinsky and Pokrovsky for the latter case is taken over to the present problem and leads to a logarithmic singularity of specific heat.

• 理論物理学刊行会の論文
• 1965-04-25

著者

• Abe Ryuzo

  The Institute For Solid State Physics The University Of Tokyo

• Abe Ryuzo

  The Institute For Solid State Physics University Of Tokyo

関連論文

• Cluster Expansion Theory for a System of Random Ising Spins
• Statistical Mechanics of a System of Ising Spins near the Transition Point
• Spin Paramagnetism of an Electron Gas in a Lattice of Positive Charges
• Nonlinear Theory of Current Saturation in Piezoelectric Semiconductors

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