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Mustafa Keskin,Osman Canko,Yasin Polat 한국물리학회 2008 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.53 No.2
Within a mean-eld approach, the kinetics of a mixed spin-1/2 and spin-1 Ising ferimagnetic system with a crystal-field interaction on a square latice in the presence of a time-dependent oscilatinge xternal magnetic field is studied. We employ the Glauber transition rates to construct the mean-field dynamical equations. The time variations of the average magnetizations and the thermal behavior of the dynamic magnetizations are investigated extensively. The dynamic phase transition points are obtained and the phase diagrams are presented in the reduced temperature (T) and magnetic field amplitude (h) plane. The global phase diagram of this simple mixed spin includes six distinct topologies and one ordered and one mixed phase. The system also displays one or two tricritical points and a rentrant behavior, depending on the values of the interaction parameters. The phase diagrams are also discused in the (d, T) plane, where d is the crystal-field interaction and one interesting phase diagram is presented.
Ahmet Erdinc,Osman Canko 한국물리학회 2010 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.56 No.4
The critical behavior of the antiferromagnetic interaction spin-1 system model in an external magnetic field is studied by using the constant-coupling approximation for four different nearestneighbors coupling constant. First, we have investigated the thermal variations of the sublattice magnetizations for different values of the interaction parameters in an external magnetic field. The model exhibits distinct critical region, including the first-order, the second-order tricritical point,and the zero critical point region. Second, we have calculated the phase diagrams. Finally, a discussion and a comparison of the phase diagrams are given.
Dynamic Phase Diagrams of a Mixed Spin-1 and Spin-5/2 Ising System in an Oscillating Magnetic Field
Mustafa Keskin,Osman Canko,Mehmet Batı 한국물리학회 2009 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.55 No.4
We study the nonequilibrium aspects of the kinetics of a mixed spin-1 and spin-5/2 Ising system, including the biquadratic nearest-neighbor pair interaction (K) and the crystal-field interaction (D), under the presence of a time-dependent oscillating external magnetic field within a mean-field approach. The set of mean-field dynamic equations is obtained by employing the Glauber transition rates. We investigate the time variations of the average order parameters to find the phases in the system. We also study the thermal behavior of the dynamic order parameters to characterize the nature (continuous or discontinuous) of the phase transitions and to obtain the dynamic phase transition (DPT) points. The dynamic phase diagrams are presented in three different planes. The phase diagrams are discussed, and a comparison is made with the results of other kinetic mixed spin Ising systems. We study the nonequilibrium aspects of the kinetics of a mixed spin-1 and spin-5/2 Ising system, including the biquadratic nearest-neighbor pair interaction (K) and the crystal-field interaction (D), under the presence of a time-dependent oscillating external magnetic field within a mean-field approach. The set of mean-field dynamic equations is obtained by employing the Glauber transition rates. We investigate the time variations of the average order parameters to find the phases in the system. We also study the thermal behavior of the dynamic order parameters to characterize the nature (continuous or discontinuous) of the phase transitions and to obtain the dynamic phase transition (DPT) points. The dynamic phase diagrams are presented in three different planes. The phase diagrams are discussed, and a comparison is made with the results of other kinetic mixed spin Ising systems.
Mustafa Keskin,Mehmet Ertas,Osman Canko 한국물리학회 2008 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.53 No.4
We calculate the dynamic phase transition (DPT) temperatures and present the dynamic phase diagrams in the kinetic spin-2 Blume-Emery-Griffiths model with repulsive biquadratic coupling under the presence of a time-dependent oscillating external magnetic eld. First, we employ the Glauber transition rates to construct the set of mean-field dynamic equations. Then, we study the time variation of the average order parameters to nd the phase in the system. We also investigate the behavior of the dynamic order parameters to characterize the nature (continuous or discontinu- ous)of the transition and to obtain the DPT points. We present the dynamic phase diagrams in the plane of the reduced temperature versus magnetic field amplitude. The phase diagrams exhibit the ferrimagnetic, ferromagnetic -1, antiquadrupolar and disordered fundamen- tal phases. In addition to these fundamental phases, depending on the interaction parameters, we find ten coexisting or mixed phases composed of binary and ternary combinations of fundamental phases. The phase diagrams also display many special points, such as a dynamic tricritical point, a zero-temperature critical point, a critical end point, a double critical end point, a multicritical point, a triple point and a tetracritical point.