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Experimental testing of applicability of the Preisach hysteresis model to superconductors

GARY D. FRIEDMAN, Lianghua Liu, James S. Kouvel

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Abstract

Applicability of the Preisach hysteresis model to superconductive hysteresis is tested on two types of materials using a vibrating sample magnetometer. The experiments are set up to check if the hysteresis displayed by the two samples satisfies the necessary and sufficient conditions for the applicability of the Preisach model. These conditions are wiping out of some field history by certain subsequent field extrema and congruency of minor hysteresis loops corresponding to the same field cycles, but having different histories. Observation of the measured minor hysteresis loops indicates that the two conditions are satisfied for the two samples tested. For this reason, it can be concluded that the Preisach model is a very accurate representation of superconductive hysteresis, at least for some superconducting materials.

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What this paper is about

Applicability of the Preisach hysteresis model to superconductive hysteresis is tested on two types of materials using a vibrating sample magnetometer. The experiments are set up to check if the hysteresis displayed by the two samples satisfies the necessary and sufficient conditions for the applicability of the Preisach model. These conditions are wiping out of some field history by certain subsequent field extrema and congruency of minor hysteresis loops corresponding to the same field cycles, but having different histories. Observation of the measured minor hysteresis loops indicates that the two conditions are satisfied for the two samples tested. For this reason, it can be concluded that the Preisach model is a very accurate representation of superconductive hysteresis, at least for some superconducting materials.

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Available abstract

Applicability of the Preisach hysteresis model to superconductive hysteresis is tested on two types of materials using a vibrating sample magnetometer. The experiments are set up to check if the hysteresis displayed by the two samples satisfies the necessary and sufficient conditions for the applicability of the Preisach model. These conditions are wiping out of some field history by certain subsequent field extrema and congruency of minor hysteresis loops corresponding to the same field cycles, but having different histories. Observation of the measured minor hysteresis loops indicates that the two conditions are satisfied for the two samples tested. For this reason, it can be concluded that the Preisach model is a very accurate representation of superconductive hysteresis, at least for some superconducting materials.

Key concepts: Hysteresis, Preisach model of hysteresis, Magnetic hysteresis, Superconductivity, Magnetometer, Condensed matter physics, Maxima and minima, Field (mathematics)

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