Estudo geral do efeito magnetoelástico simplificado na variação de entropia magnética

Abstract

In this dissertation we present the main results about the magnetic properties of elastic ferromagnets based on the analysis of different behaviours of the exchange parameter O (or exchange interaction). Firstly, we analyzed the variation of exchange parameter O with H and T , i.e., O vH w , O vT w and O vH,T w , obtaining an additional contribution whitout defined physically origin, vH,T w adic { ´S , which when added to the conventional entropy, conv { ´S , results in the variation of total entropy, total { ´S , obtained by Maxwell¡¦s relation. In what follows, we implement a model that includes a vibrational energy in the Einstein approximation for high temperatures, and an other with a quadratic dependence of the isothermal compressibility with the temperature by means of the relation 2 o T K ­ K y a T , so that obtain an additional contribution with defined physically origin. These additional contributions are obtained by magnetoelastic coupling to rewrite the system in terms of the exchange parameter O x that when applied to the model entropy exchange (proposal by Plaza-Campoy), leads to additional contributions to the { ´S eT curves. In a third approximation, we formulate the O parameter within the RKKY fenomenology, Ë Í o RKKY O ­ O J ç , and analyse the magnetic properties (magnetization, exchange parameter, deformation, magnetic entropy, etc.) for different regions of the RKKY curve. In this fenomenology, the exchange parameter varies in a non linear form as a function of the deformation, although when we get closer to a linear region we verified that the Bean- Rodbell model approximates well the RKKY model. Finally, we start from a generalized exchange Hamiltonian and formulate an generalized exchange energy that inserted in the Gibbs free energy, promotes an additional contribution to the magnetic properties, showing up the importance of the v1 4 w factor in the exchange hamiltonian when the exchange parameter depends on the interatomic distances.