The in-phase states of Josephson junctions stacks as attractors

Journal Article · Wed Nov 12 00:00:00 EST 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4902269· OSTI ID:22390602

Hristov, I.; Dimova, S. ^[1]; Hristova, R. ^[2]

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1. Faculty of Mathematics and Informatics, St. Kliment Ohridski University of Sofia, 5 James Bourchier Blvd., 1164 Sofia (Bulgaria)
2. Faculty of Mathematics and Informatics, St. Kliment Ohridski University of Sofia, 5 James Bourchier, Blvd., 1164 Sofia (Bulgaria)

The aim of this investigation is to show that the coherent, in-phase states of intrinsic Josephson junctions stacks are attractors of the stacks' states when the applied external magnetic field h{sub e} and the external current γ vary within certain domains. Mathematically the problem is to find the solutions of the system of perturbed sine-Gordon equations for fixed other parameters and zero or random initial conditions. We determine the region in the plane (h{sub e}, γ), where the in-phase states are attractors of the stack's states for arbitrary initial perturbations. This is important, because the in-phase states are required for achieving terahertz radiation from the Josephson stacks.

• OSTI ID: 22390602
• Journal Information: AIP Conference Proceedings, Vol. 1629, Issue 1; Conference: AMiTaNS 14: 6. International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, Albena (Bulgaria), 26 Jun - 1 Jul 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATTRACTORS
JOSEPHSON JUNCTIONS
MAGNETIC FIELDS
MATHEMATICAL SOLUTIONS
RANDOMNESS
SINE-GORDON EQUATION
STACKS
THZ RANGE