Abstract
The critical state of the hard superconductor in external magnetic field within the scope of the discrete model is consider. In the framework of this model the vortex system is described by the coordinates of the individual vortex. The exact solution of the nonlinear system of force balance equations is found. We obtain the distributions of the vortex density and the magnetic induction inside a superconductor taking into account the prehystory. The case of a strong pinning is studied in detail.
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