Title: Bethe approach study of the mixed spin-1/2 and spin-5/2 Ising system in the presence of an applied magnetic field
Author(s):

	M. Karimou (Institute of Mathematics and Physical Sciences (IMSP), Republic of Benin) ,
	R.A. Yessoufou (Institute of Mathematics and Physical Sciences (IMSP), Republic of Benin; Department of Physics, University of Abomey-Calavi, Republic of Benin) ,
	T.D. Oke (Institute of Mathematics and Physical Sciences (IMSP), Republic of Benin; Department of Physics, University of Abomey-Calavi, Republic of Benin) ,
	A. Kpadonou (Institute of Mathematics and Physical Sciences (IMSP), Republic of Benin; University of Natitingou, École Normale Supérieure, Republic of Benin) ,
	F. Hontinfinde (Institute of Mathematics and Physical Sciences (IMSP), Republic of Benin; Department of Physics, University of Abomey-Calavi, Republic of Benin)

The mixed spin-1/2 and spin-5/2 Ising model is investigated on the Bethe lattice in the presence of a magnetic field h via the recursion relations method. A ground-state phase diagram is constructed which may be needful to explore important regions of the temperature phase diagrams of a model. The order-parameters, the corresponding response functions and internal energy are thoroughly investigated in order to typify the nature of the phase transition and to get the corresponding temperatures. So, in the absence of the magnetic field, the temperature phase diagrams are displayed in the case of an equal crystal-field on the (k_BT/|J|, D/|J|) plane when q=3,4,5 and 6. The model only exhibits the second-order phase transition for appropriate values of physical parameters of a model.

Key words: magnetic systems, thermal variations, phase diagrams, magnetic field, second-order transition
PACS: 05.50.+q, 05.70.Ce, 64.60.Cn, 75.10.Hk, 75.30.Gw

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