Determination of the mean and Gaussian curvatures for the equilibrium states in the Blume-Emery-Griffiths model

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Alata N.

XXI. International Congress on Mathematical Physics, Strasbourg, France, 1 - 06 July 2024

• Publication Type: Conference Paper / Unpublished
• City: Strasbourg
• Country: France
• Akdeniz University Affiliated: Yes

Abstract

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 (H_M  , K_M) and maxima (K_P) 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].