Whirling modes and parametric instabilities in the discrete Sine-Gordon equation: Experimental tests in Josephson rings
Journal Article
·
· Physical Review Letters; (United States)
- Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
- Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
We analyze the damped driven discrete sine-Gordon equation. For underdamped, highly discrete systems, we show that whirling periodic solutions undergo parametric instabilities at certain drive strengths. The theory predicts novel resonant steps in the current-voltage characteristics of discrete Josephson rings, occurring in the return path of the subgap region. We have observed these steps experimentally in a ring of 8 underdamped junctions. An unusual prediction, verified experimentally, is that such steps occur even if there are no vortices in the ring. Numerical simulations indicate that complex spatiotemporal behavior occurs past the onset of instability.
- OSTI ID:
- 6641339
- Journal Information:
- Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 74:3; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DAMPING
DATA
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
EQUATIONS
EXPERIMENTAL DATA
FIELD EQUATIONS
FOURIER ANALYSIS
INFORMATION
INSTABILITY
JOSEPHSON JUNCTIONS
JUNCTIONS
NUMERICAL DATA
ONE-DIMENSIONAL CALCULATIONS
PARAMETRIC INSTABILITIES
PHASE SHIFT
PHYSICAL PROPERTIES
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
POTENTIALS
RESONANCE
RINGS
SIMULATION
SINE-GORDON EQUATION
SUPERCONDUCTING JUNCTIONS
THEORETICAL DATA
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DAMPING
DATA
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
EQUATIONS
EXPERIMENTAL DATA
FIELD EQUATIONS
FOURIER ANALYSIS
INFORMATION
INSTABILITY
JOSEPHSON JUNCTIONS
JUNCTIONS
NUMERICAL DATA
ONE-DIMENSIONAL CALCULATIONS
PARAMETRIC INSTABILITIES
PHASE SHIFT
PHYSICAL PROPERTIES
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
POTENTIALS
RESONANCE
RINGS
SIMULATION
SINE-GORDON EQUATION
SUPERCONDUCTING JUNCTIONS
THEORETICAL DATA