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Micropolar model of high-temperature superconductors

Radzikowska E.

Journal of Technical Physics

2001

Vol. 42, no 4

419-435

The micropolar continuum theory is applied to superconductors of type II containing a vortex lattice. The classical electrodynamic theory of micropolar continua is supplemented by quantum-mechanical notions describing the phenomenon of superconductivity. A variational principle for dissipative processes taking place in high-temperature superconductors is formulated. The electromagnetic, mechanical and thermal fields interactions in superconductors are considered. Finally, the complete system of field equations describing these interactions is obtained together with the constitutive relations and the jump conditions on the discontinuity surface.