The distribution of magnetization in a bubble domain is one which minimizes the total free energy according to the theory of micromagnetics. Hence, it may be determined using the methods of direct minimization. Numerical results for a one-dimensional Bloch wall are given to illustrate the method in a simple case. The concept of a wall-energy constant which is commonly adopted for domain walls having zero width is examined by an analysis of real bubble domains.
Assuming that a dry circular center is present at which the contact angle between the liquid and solid phases remains constant at all times, the axisymmetric free surface of liquid on a flat disk is determined from the Laplace formula in which the radial gradient of the fluid pressure balances the centrifugal force. The depletion of a thin layer of fluid from a rotating finite disk is described quasi-statically. A remnant of residual fluid is determined to remain on the disk. For moderate rotating speed, this remnant fluid volume is retained on the disk without loss.
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