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Microscopic tunneling theory of long Josephson junctions

N. Gro/nbech-Jensen, S. A. Hattel, M. R. Samuelsen

DOI 10.1103/PhysRevB.45.12457 · Physical Review B

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Abstract

We present a numerical scheme for solving a nonlinear partial integro-differential equation with nonlocal time dependence. The equation describes the dynamics in a long Josephson junction modeled by use of the microscopic theory for tunneling between superconductors. We demonstrate that the detailed behavior of a solitonic mode (fluxon dynamics) in the junction is different from the results of the conventional perturbed sine-Gordon model.

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