Journal of Interfaces, Thin Films, and Low dimensional systems
Three-dimensional calculations of the magnetic fields in a finite superconducting hollow cylinder in an applied axial magnetic field
Document Type : Original Article
Author
Department of Physics, Faculty of Science, University of Qom, Qom 3716146611, Iran
Abstract
In this study, a set of self-consistent coupled-integral equations for the local magnetic flux and current distributions in a finite superconducting hollow cylinder under an axial magnetic field has been directly derived by using the Biot-Savart law within the framework of the critical-state model. The equations were first solved numerically in the three-dimensional space before obtaining the hysteresis loops for the Kim and Exponential models. We have assumed the contribution of the flux penetration from the inner surface of the sample to be higher than that of other surfaces. It is found that the variation in the area of lateral surface changes the magnitude of the magnetic moment of the finite hollow cylinder in the applied magnetic field. The obtained results are in good agreement with calculates. The formalism presented here can be used for an arbitrary shape of the superconducting system in the presence of any magnetic field dependence of the critical current density Jc(B) in an external magnetic field of arbitrary direction.
Keywords
Article Title [Persian]
محاسبات سه بعدی چگالی میدان مغناطیسی استوانه ی محدود تو خالی ابررسانا در یک میدان مغناطیسی محوری
Author [Persian]
- بتول محمدزاده ده سرخ
گروه فیزیک، دانشکده علوم، دانشگاه قم، قم، ایران
Abstract [Persian]
در این مطالعه یک دسته معادلات خود سازگار برای چگالی شار مغناطیسی و توزیع جریان در یک پوسته ی ابررسانا در میدان مغناطیسی موازی با محور استوانه از قانون بیوساوار به دست آمده است. این معادلات به روش عددی حل شده اند. چگالی جریان نفوذی در ابررسانا بر اساس نظریه های Kim و نمایی فرض شده است. نتایج با مقالات دیگران مقایسه و بحث شده است.
Keywords [Persian]
- ابررسانایی
- استوانه تو خالی
- میدان مغناطیسی
- مدل حالت بحرانی
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