Abstract
Starting from the microscopic BCS-interaction Hamiltonians inside and between the superconductors of a tunnel junction sandwich, the macroscopic part of the Schrödinger dynamics on the set of pure physical phase states is derived with the methods of algebraical statistical mechanics. The resulting nonlinear differential equations for the physical parameters, like the macroscopic phase difference, are solved numerically and compared with the Josephson relations. It is shown that the frequency of the tunnel current has sharp peaks, if it is considered as a function of applied voltage and phase difference. The calculated peak-parameters align to the characteristic fork of bifurcating systems in the voltage-phase parameterspace.
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Duffner, E. Nonequilibrium pure phase dynamics for the strong coupling Josephson tunnel junction. Z. Physik B - Condensed Matter 63, 37–44 (1986). https://doi.org/10.1007/BF01312576
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DOI: https://doi.org/10.1007/BF01312576