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Numerical Investigation of a Bifurcation Problem with free Boundaries Arising from the Physics of Josephson Junctions

M. D. Todorov·T. L. Boyadjiev
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Abstract

A direct method for calculating the minimal length of ``one-dimensional'' Josephson junctions is proposed, in which the specific distribution of the magnetic flux retains its stability. Since the length of the junctions is a variable quantity, the corresponding nonlinear spectral problem as a problem with free boundaries is interpreted. The obtained results give us warranty to consider as ``long'', every Josephson junction in which there exists at least one nontrivial stable distribution of the magnetic flux for fixed values of all other parameters.

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M. D. Todorov, T. L. Boyadjiev. 1998-09-22. Numerical Investigation of a Bifurcation Problem with free Boundaries Arising from the Physics of Josephson Junctions. https://arxiv.org/abs/cond-mat/9809297

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