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Simulations of collective synchronization in Josephson junction arrays
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View: Figures


Image of FIG. 1.
FIG. 1.

An equivalent circuit for a single junction in a Josephson array, where a self-generated rf current is divided into a coupling current and an internal junction current .

Image of FIG. 2.
FIG. 2.

(Color online) The intensity graph in the middle shows the degree of coupling in the plane, analytically calculated for a 128-SINIS junction array using a harmonic approximation with zero attenuation (, , , and ). The numbers on the gray scale bar on the left-hand side represent the degree of coupling. The graphs above and below show simulated distributions of the effective rf current, , along a 128-SINIS junction array with different dc bias and external rf currents for the same array parameters (, , , and ). Here, represents the junction index in the array. The values of and were estimated for a typical SINIS array.

Image of FIG. 3.
FIG. 3.

Step size of the first Shapiro step for the SINIS array for: (a) , , , and and (b) , , , and . The values were chosen so that they maximized the first Shapiro step of the first junction. The solid circles denote the simulated step size with normal coupling for , and the open squares denote the step width expected in the absence of any coupling effect. The right-hand-side graphs show simulated curves near the step for the corresponding points on the left-hand-side graphs.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Simulations of collective synchronization in Josephson junction arrays