Phase Transition of Random Ising Model : Comparison of Glass Like Phase and Random Ordered Phase
スポンサーリンク
概要
- 論文の詳細を見る
The glass like phase proposed by Katsura et al. and the random ordered phase by Oguchi et al. are treated in a unified way for the Ising system with bond randomness. The molecular field approximation is used and the stability of various phases is discussed by comparing the free energies. The distribution function or the probability for the effective field is considered. It is shown that the method of Katsura et al. corresponds to taking the distribution function as site-independent and the random ordered phase is obtained by taking the probability as site-dependent. Taking the probability for both the magnitude and the sign of the effective field as site-dependent, the transitions to the ferromagnetic, antiferromagnetic and glass like phase from the paramagnetic state are discussed. The transition temperature to the glass like phase is shown to never exceed the ferro- or antiferromagnetic transition temperature. Thus, the glass like phase is possible only in the restricted region of the phase diagram.
- 理論物理学刊行会の論文
- 1981-06-10
著者
-
Takano Fumihiko
Institute Of Physics Tokyo University Of Education
-
Takano Fumihiko
Institute Of Physics The University Of Tsukuba
-
TAKANO Fumihiko
Institute of Physics, University of Tsukuba
関連論文
- Averaged Eigenvalue Spectrum of Large Symmetric Random Matrix
- Magnetism of d-Electron System with Orbital Degeneracy ; Constant Coupling Approximation for Inagaki's Model
- Notes on Fermi and Bose Statistics
- Spin Wave Theory of the Spin 1/2 XY Model
- Phase Transition of Random Ising Model : Comparison of Glass Like Phase and Random Ordered Phase
- Phase Transition of the Sherrington-Kirkpatrick Model
- Exact Calculation of Free Energy of Sherrington-Kirkpatrick Model at High Temperatures Up to Terms of Order Unity
- Statistics of Electrical Resistance in One-Dimensional Disordered System
- Theory of Valence Tansition
- Effective Field Approximatioin for Random Ordered Phase
- Density of States in the Energy Gap in the Superconducting Transition Metal Alloy
- Concentration Expansion for Random Ising Systems
- Application of the Gutzwiller Method to Antiferromagnetism