Ruppeiner geometry of isotropic Blume-Emery-Griffiths model
EUROPEAN PHYSICAL JOURNAL PLUS, vol.135, no.11, 2020 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 135 Issue: 11
- Publication Date: 2020
- Doi Number: 10.1140/epjp/s13360-020-00934-3
- Journal Name: EUROPEAN PHYSICAL JOURNAL PLUS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
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.