This article is cited in 8 papers

CONDENSED MATTER

Parametric resonance in the system of long Josephson junctions

I. R. Rahmonov^ab, Yu. M. Shukrinov^ac, A. Irie<sup>d

a</sup> Joint Institute for Nuclear Research, Dubna, Moskovskaya obl.
^b S. U. Umarov Physical-Technical Institute of Academy of Sciences of Rebublic of Tajikistan, Dushanbe
^c Dubna International University for Nature, Society, and Man
^d Utsunomiya University

Abstract: The phase dynamics of the system of long Josephson junctions whose length exceeds the Josephson penetration depth has been studied. The possibility of the appearance of a longitudinal plasma wave and parametric resonance has been demonstrated. Both inductive and capacitive couplings between Josephson junctions have been taken into account in the calculations. The current-voltage characteristics, as well as time evolution of the spatial distribution of the electric charge in superconducting layers and the magnetic field, have been calculated in all Josephson junctions of the system. The coexistence of the longitudinal plasma wave and fluxon states has been observed in the region of parametric resonance beginning with a certain length of the Josephson junction. This indicates the appearance of a new unique collective excitation in the system of coupled Josephson junctions, namely, a composite state of the Josephson current, electric field, and vortex magnetic field.

Received: 07.04.2014
Revised: 25.04.2014

DOI: 10.7868/S0370274X14110058

 English version: Journal of Experimental and Theoretical Physics Letters, 2014, 99:11, 632–639

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