Two-dimensional arrays of Josephson junctions in a magnetic field: A stability analysis of synchronized states

1999 ◽  
Vol 59 (10) ◽  
pp. 7108-7115 ◽  
Author(s):  
B. R. Trees ◽  
D. Stroud
2014 ◽  
Vol 104 (6) ◽  
pp. 062601 ◽  
Author(s):  
Shane A. Cybart ◽  
E. Y. Cho ◽  
T. J. Wong ◽  
V. N. Glyantsev ◽  
J. U. Huh ◽  
...  

Author(s):  
S. Saravanan ◽  
H. Yamaguchi

The influence of magnetic field on the onset of centrifugal convection in a magnetic fluid filled differentially heated porous layer is studied theoretically using linear stability analysis. The resulting eigenvalue problem is solved using the Galerkin technique. The critical centrifugal Rayleigh number, the critical wavenumber and the eigenfunctions corresponding to two-dimensional flow pattern at the threshold are calculated. It is found that the magnetic field has a destabilizing effect and can be suitably adjusted depending on particle magnetization to enhance convection. This phenomenon can be utilized to increase the efficiency of heat transfer devices.


1991 ◽  
Vol 05 (10) ◽  
pp. 1809-1816 ◽  
Author(s):  
F. V. Kusmartsev

We studied the magnetic properties of the ring of a Josephson junctions in a magnetic field at different capacitance of superconducting regions. We found that the capacitance which is the characteristic of the size of the superconducting region, does not change qualitatively the magnetic properties of the ring of junctions. At half-quantum of the flux through the ring there appears the magnetic phase transition which is characterised by the singularity in magnetization and in sucseptibility. At the transition there is the trapping of the one quantum of the flux by the ring. The interpretation of experiments, describing the inverse kinetic inductance as a function of a flux per plaquette of a lattice of two-dimensional arrays of the Josephson junctions is proposed. The new singularities in this dependency are predicted.


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