No Longer Transcendental Equations in the Homogeneous Mean‐Field Theory of Ferromagnets

Publisher Website
Google Scholar
Abstract
The transcendental equation for the determination of the magnetization within the mean‐field approximation is reduced to the problem of solving an explicit polynomial equation of degree 2S where S is the spin of the localized magnetic moments. Various possibilities to achieve this reduction are pointed out and the physically most tractable variant is singled out. It is demonstrated that the solution of the obtained polynomial equation is equivalent to finding the inverse of the Brillouin function explicitly.