Abstract
Clausius-Mossotti approximation is extended to describe the measured magnetic moment of an ellipsoidal sample containing magnetic or nonmagnetic ellipsoidal inclusions and magnetic or nonmagnetic matrix. The magnetic field in the matrix and inclusions is calculated. The magnetic energy of a system is calculated also. The equilibrium shape of a pore in a ferromagnetic sample is investigated. The phenomenon of a cavitation in porous ferromagnetic samples is described. The model is applied to calculate magnetic properties of granular superconductors. The effective electric conductivity of a sample, containing an arbitrary number of differently ordered distributions of ellipsoidal inclusions is calculated.
Highlights
Clausius-Mossotti approximation, which was introduced by Ottavanio Fabrizio Mossotti in 1846, is one of the models used to describe the effective conductivity or susceptibility of mixtures and materials containing several phases [1]
As it is assumed in the Clausius-Mossotti approximation, the magnetic field in the matrix Hm is assumed to be the homogeneous one, and the magnetic fields in each pore Hk are assumed to be the homogeneous ones and all the fields are supposed to be directed along the external field
The equilibrium shape of a ferromagnetic inclusion is determined by the competition between the magnetic energy, which decreases as the inclusion elongates along the field, and the surface energy, which increases concomitantly
Summary
Clausius-Mossotti approximation, which was introduced by Ottavanio Fabrizio Mossotti in 1846, is one of the models used to describe the effective conductivity or susceptibility of mixtures and materials containing several phases [1]. In this paper we shall consider the case of a sample in an external applied field, whereas the sample consists of several phases in a matrix. We shall use the approximation of the field (induced by the external one) having constant (but different) values in each phase and the matrix of a sample. After obtaining a solution for the susceptibility we shall return to the problem of the effective conductivity. The distribution of the field in the matrix volume of such a sample is considered in this paper. The case of the ellipsoidal magnetic sample, containing ellipsoidal magnetic inclusions with different values of the magnetization is considered. In a general case the external applied field is not oriented along one of the axes of the inclusion and obtained equations refer to a corresponding components of the vector values considered. Obtained results are important for a description of the magnetic and other physical properties of sintered materials from ceramic superconductors to porous magnetic materials with growing pores and first order ferromagnetic phase transformations
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
