2-Dimensional and 3-Dimensional Remanence Enhancement of Isotropic Nanocrystalline Permanent Magnets

A transition region of domain-wall like structure forms in the crystalline grain boundary due to the exchange interaction between neighboring grains.The simplest magnetic domain like structure——linear distribution of magnetic moment,can put forward the analytical formulas to calculate tihe width and remanence of the transition region in ~1D(one-dimensional),~2D and ~3D spaces,which can explain remanence enhancement effects observed in such materials.The results are in good agreement with the experimental data.