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(a) Typical magnetic domain expansion from nucleation sites which are sometimes at the edge of the film with low magnification. The gray constrants correspond to the domain images taken at different times after applying magnetic field. (b) Typical magnetic domain images with high magnification after image processing which comprises background substraction and black and white conversion
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p class="1Body">In this paper, we established a link between ferromagnetic models and set theory. Three dimension spins "S<sub>X</sub>, S<sub>y</sub>, S<sub>z</sub>" are considered in Heisenberg model but it is restricted to z_ axis " S<sub>z</sub>" in Ising mode. By using Brouwer theory, fractal motion of magnetic domains is predicted theoreticall...
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... hysteresis Loop revealing perpendicular magnetic anisotropy.It has been well known that the Co/Pd nano multilayer system exhibits an increase of saturation magnetization z M by vibrating sample magenometer. In Figure 1 we demonstrate typical domain evolution paterns ( CO t Co/11 A Pd) with 2, 2.5, 3, 3.5 ...
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In this paper, we established a link between ferromagnetic models and set theory. Three dimension spins "S X , S y , S z " are considered in Heisenberg model but it is restricted to z_ axis " S z " in Ising mode. By using Brouwer theory, fractal motion of magnetic domains is predicted theoretically in the materials that their magnetism are explaine...