Work

Geometric characterization of the phase transitions in a Blume-Capel model via the Ruppeiner metric

Year: 2026

Type: article

Abstract: The thermodynamic geometry based on the Ruppeiner formalism is utilized to investigate the spin-1 Blume-Capel model in the absence and presence of the external magnetic field ( h ). An explicit expression for the thermodynamic curvature or Ricci scalar ( R ) is derived. Its behaviour near the critical and tricritical points and a geometric phase diagram highlighting the characteristics of R are presented when $$h=0$$ h = 0 . Notably, two half rings including the minima $$(R_M)$$ ( R M ) and maxima $$(R_P)$$ ( R P ) of R in the ferromagnetic phase are observed below the $$R=0$$ R = 0 line. We also find that the separate $$R_M$$ R M and $$R_P$$ R P lines exist at higher temperatures within the paramagnetic phase. Under the effect of external magnetic field $$(h \ne 0)$$ ( h ≠ 0 ) , these lines disappear and an additional $$R_P$$ R P curve appears just above the second-order phase transition line in the phase diagram.

Source: The European Physical Journal Plus

DOI: 10.1140/epjp/s13360-026-07330-3

Authors: Tuğçe Akkurt, Rıza Erdem, Cesur Ekiz

Institutions: Akdeniz University, Adnan Menderes University

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,890

Funder: Akdeniz Üniversitesi