The Blume-Emery-Griffiths Model On Random Surfaces
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概要
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We investigate the phase structure of the Blume-Emery-Griffiths (B-E-G) model on a random surface which is equivalent to the general type of the 3-matrix model. The B-E-G model has the parameters J, K and μ which are the spin and the lattice-gas coupling and the chemical potential respectively. If K = 0, it is the usual tricritical Ising model. If K/J = 3 and J = μ/8, this model becomes the 3-state Potts model. The intermediate region K/J = 1 is equivalent to the 3-matrix chain model and we can solve it exactly using the orthogonal polynomial method. We find the 3-rd order critical line in the physical region Δ > 0, where Δ ∝ e^μ, which belongs to the universarity class of the Ising model on a random surface. This line ends at the 4-th order critical point which corresponds to the tricritical point of the B-E-G model. We also inform the phase structure in a external magnetic field. The phase diagram is quite similar to the B-E-G model on a regular lattice.
- 素粒子論グループ 素粒子研究編集部の論文
- 1992-01-20
著者
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Hamada K
High Energy Accelerator Res. Organization (kek) Ibaraki Jpn
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Hamada Ken-ji
Institute Of Particle And Nuclear Studies High Energy Accelerator Research Organization (kek)
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