Trapped magnetic field in a superconducting disk magnetized by uniform field

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The distribution of the current density and the profile of the trapped magnetic field of a superconducting disk magnetized by uniform field are calculated from first principles. The effect of the superconducting parameters is taken into account by assuming the voltage-current law and the material law. The sample volume, the critical current density and the flux creep exponent dominate the strength of the trapped magnetic field. The flux creep exponent determines the decay rate of the trapped magnetic field. The aspect ratio of the sample influences the shape of the trapped magnetic flux lines. We conclude that higher trapped magnetic field cannot always be obtained by increasing the applied magnetic field.