The phase diagrams of the mixed spin-3/2 and spin-5/2 Ising system on the Bethe lattice

The quaternary alloy (QA) is simulated on the Bethe lattice (BL) in the form of ABpCqDr and its phase diagrams are calculated by using the exact recursion relations (ERR) for the coordination number z = 3. The QA is designed on the BL by placing A atoms (spin-1/2) on the odd shells and randomly placing B (spin-3/2), C (spin-5/2) or D (spin-1) atoms with probabilities p, q and r, respectively, on the even shells. A compact form of formulation for the QA is obtained in the standard-random approach which can easily be reduced to ternary alloy (TA) and mixed-spin models by the appropriate values of the random variables p, q and r. The phase diagrams are calculated on the temperature and ratio of bilinear interaction parameter planes for given values of probabilities.

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Phase diagrams of a nonequilibrium mixed spin-3/2 and spin-2 Ising system in an oscillating magnetic field

Journal of Magnetism and Magnetic Materials ◽

10.1016/j.jmmm.2009.07.052 ◽

2009 ◽

Vol 321 (23) ◽

pp. 3905-3912 ◽

Cited By ~ 15

Author(s):

Mustafa Keskin ◽

Yasin Polat

Keyword(s):

Magnetic Field ◽

Phase Diagrams ◽

Ising System ◽

Mixed Spin ◽

Oscillating Magnetic Field

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Critical behaviors and phase diagrams of the mixed spin-1 and spin-7/2 Blume-Capel (BC) Ising model on the Bethe lattice (BL)

International Journal of Modern Physics B ◽

10.1142/s0217979215501945 ◽

2015 ◽

Vol 29 (28) ◽

pp. 1550194 ◽

Cited By ~ 3

Author(s):

M. Karimou ◽

R. Yessoufou ◽

F. Hontinfinde

Keyword(s):

Phase Transitions ◽

Phase Diagrams ◽

Ground State ◽

Tricritical Point ◽

Bethe Lattice ◽

Second Order ◽

Temperature Phase ◽

First Order ◽

Crystal Fields ◽

Mixed Spin

Using the recursion equations technique, the influences of the single-ion anisotropies or crystal-fields interactions on the magnetic properties of the mixed spin-1 and spin-7/2 Blume-Capel (BC) Ising ferrimagnetic system are studied on the Bethe lattice (BL). The ground-state phase diagram is constructed, the thermal behaviors of the order-parameters and the free-energy are thoroughly investigated in order to characterize the nature of the phase transitions and to obtain the phase transition temperature. Then, the temperature phase diagrams are obtained in the case of equal crystal-field interactions on the ([Formula: see text] and [Formula: see text]) planes when q = 3, 4 and 6 and in the case of unequal crystal-fields interactions on the ([Formula: see text] and [Formula: see text]) and [Formula: see text] and [Formula: see text]) planes for selected values of [Formula: see text] and [Formula: see text] respectively when q = 3. The model shows first-order and second-order phase transitions, and where the lines are connected is the tricritical point. Besides the first-order and second-order phase transitions, the system also exhibits compensation temperatures depending on appropriate values of the crystal-fields interactions.

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