Abstract
Using the recent results for the surface current density on cylindrical surfaces of arbitrary cross-section producing uniform interior magnetic field we propose a method for obtaining solutions of Bean’s critical state model for general cylindrical samples. The method uses the technique of conformal mapping to express the sample surface and the flux-fronts in terms of a set of coefficients that depend on a parameter. The flux-fronts are to be determined by solving a system of nonlinear ordinary differential equations for the coefficients. Retaining only a certain finite number of leading coefficients we get an approximate solution. The procedure is illustrated by considering two cyclindrical samples — one with an elliptical cross-section and the other with a non-elliptical cross-section. The virgin curve and small and large magnetization hysteresis loops for the two samples are obtained.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C P Bean, Rev. Mod. Phys. 36, 31 (1964)
G Ravikumar, K V Bhagwat, V C Sahni, A K Grover, S Ramakrishnan and S Bhattacharya, Phys. Rev. B61 R6479 (2000)
Y Kato, M Hanakawa and K Yamafuji, Jpn. J. Appl. Phys. 15, 695 (1976)
M N Wilson, Superconducting magnets (Oxford, Clarendon Press, 1963)
K V Bhagwat and P Chaddah, Pramana — J. Phys. 33, 521 (1989); also Physica C224, 155 (1994)
P N Mikheenkov and Yu E Kuzovlev, Physica C204, 229 (1993)
E H Brandt and M Indenbom, Phys. Rev. B48, 12893 (1993)
J Mc Donald and J R Clem, Phys. Rev. B53, 8643 (1996) and references therein
K V Bhagwat and P Chaddah, Physica C280 52 (1997)
D V Shantsev, Y M Galperin and T H Hohansen, Phys. Rev. B60, 13112 (1999)
K V Bhagwat and P Chaddah, Physica C190 444 (1992)
R Navarro and L J Campbell, Phys. Rev. B44 10146 (1991)
L Prigozhin, J. Comp. Phys. 129, 190 (1996)
E H Brandt, Phys. Rev. B54 4246; 58 6506 (1998)
M Ashkin, J. Appl. Phys. 50, 7060 (1979)
K L Telchow and Koo, Phys. Rev. 50, 6923 (1994–II)
Debjani Karmakar and K V Bhagwat, Pramana — J. Phys. 56, 127 (2001)
K V Bhagwat and K V Karmakar, Europhys. Lett. 49, 715 (2000)
G Polya and G Szegö, Problems and theorems in analysis I (Springer-Verlag, New York, 1978) p. 129–130; Problems and theorems in analysis II (Springer-Verlag, New York, 1971) p. 17–24
H Brechna, Superconducting magnet systems (Springer-Verlag, Heidelberg, Berlin, 1973)
Yu E Kuzovlev, JETP Lett. 61, 1000 (1995)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bhagwat, K., Karmakar, D. Magnetization curves for general cylindrical samples in a transverse field. Pramana - J Phys 57, 763–774 (2001). https://doi.org/10.1007/s12043-001-0027-7
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s12043-001-0027-7