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NUCLEATION FIELD OF THE INFINITE FERROMAGNETIC

Near, but below Curie’s temperature T,, the magnetization increases with applied field above saturation. Therefore, when we approach T, in a ferromagnet it becomes no longer possible to neglect the change in magnitude of the local magnetization due to magnetic fields. For the purpose of our problem the Brown’s equations are extended by using a variational procedure. The equations derived are used to study the problem of the nucleation field of the infinite circular ferromagnetic cylinder. The regular part of the solution of the linearized equations is given in terms of Bessel factions and the resulting algebraic eigenvalue problem is solved numerically. The dependence of the nucleation field from the various parameters of the problem is discussed as well as the size of the single domain particle considered.