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AIP conference proceedings

Dynamic Phase Transitions In The Spin-1∕2 Metamagnetic Ising System Within The Effective-Field Theory

Bayram Deviren, Mustafa Keskín, John Gideon Hartnett, Paul C Abbott

Published Jan 1, 2010• 2 citations
Publisher
DOI
10.1063/1.3460191

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The dynamic phase transitions are studied in the spin‐2 Ising model under a time‐dependent oscillating magnetic field by using the effective‐field theory with correlations. The effective‐field dynamic equation is derived by employing the Glauber transition rates and the phases in the system are obtained by solving this dynamic equation. The nature (first‐ or second‐order) of the dynamic phase transition is characterized by investigating the thermal behavior of the dynamic order parameter and the dynamic phase transition temperatures are obtained. The dynamic phase diagrams are presented in (T/zJ, h/zJ) plane.

AIP conference proceedings•Jan 1, 2010•1 citation
The ground state properties of the two-sublattice Ising metamagnet in the transverse field are studied introducing the mean-field theory. A phase diagram is given via the h-Ω rectanguler coordinates where h is the longitudinal field and Ω is the transverse field. The ground state energy, the longitudinal total magnetization, staggered magnetization and susceptibility and the transverse total magnetization are all calculated. The results show that when the transverse field Ω is small but the longitudinal field h great, the first-order transition occurs, and when the former is great but the later small the second-order transition occurs in the system. The effect of the transverse field Ω on the ground state properties of the two-sublattice Ising metamagnet is important.
The dynamic phase transitions are studied in the spin‐2 Ising model under a time‐dependent oscillating magnetic field by using the effective‐field theory with correlations. The effective‐field dynamic equation is derived by employing the Glauber transition rates and the phases in the system are obtained by solving this dynamic equation. The nature (first‐ or second‐order) of the dynamic phase transition is characterized by investigating the thermal behavior of the dynamic order parameter and the dynamic phase transition temperatures are obtained. The dynamic phase diagrams are presented in (T/zJ, h/zJ) plane.