Penentration of dynamic localized states in DC-driven Josephson junction ladders by discrete jumps

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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Accepted, Physical Review E. 5 pages, 5 figures. Revtex, with postscript figures

Scientific paper

10.1103/PhysRevE.64.036609

We give a theoretical study of unusual resistive (dynamic) localized states in anisotropic Josephson junction ladders, driven by a DC current at one edge. These states comprise nonlinearly coupled rotating Josephson phases in adjacent cells, and with increasing current they are found to expand into neighboring cells by a sequence of sudden jumps. We argue that the jumps arise from instabilities in the ladder's superconducting part, and our analytic expressions for the peculiar voltage (rotational frequency) ratios and I-V curves are in very good agreement with direct numerical simulations.

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