Analytic solution of the critical-state model for an elliptical cylinder with field-dependent critical current density
Journal Article
·
· Physical Review, B: Condensed Matter; (United States)
- Solid State Physics Division, Bhabha Atomic Research Centre, Bombay 400085 (India)
We present an exact solution of the critical-state model for a cylinder of elliptic cross section, and derive the equations for the constant-{ital B} contours. A method of obtaining magnetization curves is presented for the case where the critical current density {ital J}{sub {ital c}} is a general function of the field. The explicit cases of {ital J}{sub {ital c}} decaying exponentially with the field, and also according to Kim's model, are solved. Numerical results are presented for the exponentially decaying {ital J}{sub {ital c}}. The relevance of this calculation to the problem of sandpiles is discussed.
- OSTI ID:
- 5243091
- Journal Information:
- Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 44:13; ISSN PRBMD; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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