https://doi.org/10.1140/epjp/s13360-020-00934-3
Regular Article
Ruppeiner geometry of isotropic Blume–Emery–Griffiths model
1
Department of Physics, Akdeniz University, Antalya, 07058, Turkey
2
Institute of Science, Akdeniz University, Antalya, 07058, Turkey
3
Food Safety and Agricultural Research Centre, Akdeniz University, Antalya, 07058, Turkey
* e-mail: rerdem@akdeniz.edu.tr
Received:
16
September
2020
Accepted:
10
November
2020
Published online:
16
November
2020
With the aid of Ruppeiner thermodynamic metric defined on a two-dimensional phase space of dipolar (m) and quadrupolar (q) order parameters, we derive an expression for the Ricci scalar (R) in the isotropic Blume–Emery–Griffiths model. Temperature dependence of R is investigated for various values of bilinear to biquadratic ratio (r). Its behavior near the continuous/discontinuous phase transition temperatures and a tricritical point is presented. It is found that in addition to the divergence singularity and finite jumps connected with the phase transitions, there are field-dependent broad extrema in the Ricci scalar.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
