Ensemble Inequivalence in the Spherical Spin Glass Model with Nonlinear Interactions
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概要
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We investigate the ensemble inequivalence of the spherical spin glass model with nonlinear interactions of polynomial order p. This model is solved exactly for arbitrary p and is shown to have first-order phase transitions between the paramagnetic and spin glass or ferromagnetic phases for p \geq 5. In the parameter region around the first-order transitions, the solutions give different results depending on the ensemble used for the analysis. In particular, we observe that the microcanonical specific heat can be negative and the phase may not be uniquely determined by the temperature.
- 2012-11-15
著者
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Nishimori Hidetoshi
Department Of Physics Facuilty Of Science Tokyo Institute Of Technology
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Nishimori Hidetoshi
Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan
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MURATA Yuma
Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan
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