Frequency locking in Josephson arrays: Connection with the Kuramoto model
Kurt Wiesenfeld, Pere Colet, Steven H. Strogatz
DOI 10.1103/PhysRevE.57.1563 · Physical Review E
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
The circuit equations for certain series arrays of Josephson junctions can be mapped onto a simple model originally introduced by Kuramoto [in Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics, edited by H. Araki, Lecture Notes in Physics Vol. 39 (Springer, Berlin, 1975)] to study fundamental aspects of frequency locking in large populations of nonlinear oscillators. This correspondence makes it possible to derive accurate theoretical predictions of transitions signaling the onset of partial and complete locking, respectively. We calculate that both transitions should be observable experimentally using present fabrication tolerances.
Similar papers
Synchronization of a Josephson junction array in terms of global variables
similarity 0.87Vladimir Vlasov & Arkady Pikovsky · 2013 · arXiv:1304.2181
Source status unknown — claims are unverified
Synchronization of One Dimensional Array of Point Josephson Junctions Coupled to a Common Load
similarity 0.87Shi-Zeng Lin et al. · 2011 · arXiv:1105.3507
Source status unknown — claims are unverified
Theory of phase-locking in generalized hybrid Josephson junction arrays
similarity 0.84Michael Basler et al. · 1996 · arXiv:cond-mat/9605159
Source status unknown — claims are unverified
Positional Disorder in the Fully Frustrated Josephson Junction Array: Random Gaussian Phase Shifts in the Fully Frustrated 2D XY Model
similarity 0.83Pramod Gupta & S. Teitel
Source status unknown — claims are unverified
Rotation-driven transition into coexistent Josephson modes in an atomtronic dc superconducting quantum interference device
similarity 0.82D. M. Jezek & H. M. Cataldo
Source status unknown — claims are unverified
Character of ground state of an aperiodic frustrated Josephson junction array
similarity 0.82Y. Azizi et al. · 2011 · arXiv:1105.2861
Source status unknown — claims are unverified