Study on Accurate Symbolic Solution of Ginzburg-Landau Equations in the Circular Cell Approximation by Variational Method: An Approach towards Magnetization of Ideal Type II Superconductor

 The degree of approximation of the well-known symbolic technique for solving Ginzburg-Landau (GL) equations using the variational method and the concept of a vortex lattice with circular unit cells is examined in this chapter, which refines it in a clear and straightforward manner and finds and eliminates flaws. Correct and calculate magnetization, compare it to the one calculated mathematically, and come to the conclusion that they agree within 98.5 percent or better for any value of the GL parameter k and at magnetic field 0.01 /Bc2 1, which is a great foundation for many engineering disciplines. As a result, a theoretical tool based on existing symbolic solutions to GL equations has been developed, with precision that outperforms any previous known symbolic solution and approaches numerical accuracy.

Author(s) Details:

O. A. Chevtchenko, BV, Apeldoorn, The Netherlands.

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