Thermally activated flux motion in a one-dimensional Josephson-junction array with self-inductances

H. P. Fischer; T. Wolf; W. Dieterich; A. Majhofer

doi:10.1103/PhysRevB.54.12397

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Thermally activated flux motion in a one-dimensional Josephson-junction array with self-inductances

H. P. Fischer, T. Wolf, W. Dieterich, A. Majhofer

DOI 10.1103/PhysRevB.54.12397 · Physical Review B

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Abstract

We study relaxation of magnetic flux in a one-dimensional network of resistively shunted Josephson junctions. Magnetic fields due to the currents induced in the system are taken into account via self-inductance coefficients. A master equation is derived that describes the stochastic motion of flux quanta among the different plaquettes of the network. Space- and time-dependent flux profiles are calculated within mean-field theory and also by a continuous-time Monte Carlo algorithm. The relevance of our results for the description of flux creep experiments in strongly inhomogeneous superconductors is pointed out. © 1996 The American Physical Society.