TY - JOUR
T1 - Ensemble inequivalence in the spherical spin glass model with nonlinear interactions
AU - Murata, Yuma
AU - Nishimori, Hidetoshi
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/11
Y1 - 2012/11
N2 - 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 forp ≥ 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.
AB - 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 forp ≥ 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.
KW - Classical spin systems
KW - Disordered systems
KW - Ensemble inequivalence
KW - Long-range interacting systems
KW - Phase diagrams
KW - Spin glasses
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U2 - 10.1143/JPSJ.81.114008
DO - 10.1143/JPSJ.81.114008
M3 - Article
AN - SCOPUS:84870178933
VL - 81
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 11
M1 - 114008
ER -