Critical relaxation of the (1, 2)-mixed spin Ising model with different single-ion anisotropies


GÜLPINAR G., Ağartıoğlu M., Özüm S.

European Physical Journal Plus, cilt.140, sa.11, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 140 Sayı: 11
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1140/epjp/s13360-025-07038-w
  • Dergi Adı: European Physical Journal Plus
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

The present study investigates the relaxation theory of a (1, 2)-mixed spin ferromagnetic model with two distinct crystal fields. It employs an approach that combines the equilibrium theory of cooperative phenomena and Onsager irreversible thermodynamics. In this study, generalized fluxes are given by the derivative of the sublattice magnetizations with respect to time. The kinetic equations are written by writing the linear relations between the generalized fluxes and the conjugate generalized forces. Two relaxation times are calculated, τ1, τ2. The reduced temperature (Tr) dependence of the τ1, τ2 for different reduced sublattice crystal fields (DAr and DBr) and the Onsager kinetic coefficients (γ ) values is examined near the phase boundary for four distinctly different topological structures. In particular, τ2 increases rapidly on both sides of the continuous phase transition temperatures, close to the critical and tri-critical points delineating the ferromagnetic and disordered phases. A comparative analysis of the present results is provided from earlier experimental and theoretical studies.