Abstract
Statistical thermodynamics is used to determine the stability of a single 180\ifmmode^\circ\else\textdegree\fi{} Bloch wall in a long slab of impure ferromagnetic material. The wall is assumed flexible and warped out of its ideal plane as a result of its interaction with random point defects. A free enthalpy is then defined phenomenologically and minimized with respect to the moment distribution. Various ordered and disordered states are found, between which the slab magnetization may switch by first-order phase transitions. Thus a finite remanent magnetization is obtained for sufficiently pure material in vanishing external fields; otherwise order-disorder transitions may take place while shape-dependent demagnetizing effects disappear. Hysteresis loops resemble the "Preisach diagrams" necessary to account for magnetization curves of real ferromagnetic materials.
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