XXI. International Congress on Mathematical Physics, Strasbourg, France, 1 - 06 July 2024
As a continuation of the preceding work [1], we investigate
the local shapes of the mean-field free energy surface at equilibrium for the
spin-1 Blume-Emery-Griffiths model [2-8]. For this aim, we derive the
expressions for the mean (H) and Gaussian (K) curvatures. Their
temperature and cyrstal field behaviorus near the critical and multicritical
points are determined. Moreover, the location of curvature minima (HM , KM) and maxima (KP)
in the phase diagrams including critical and multicritical topology have been
analysed. Some of the results fit well with those in the absence of crystal
field interactions [1].