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), Vol. 74:3; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
JOSEPHSON JUNCTIONS
ELECTRIC CONDUCTIVITY
SINE-GORDON EQUATION
PARAMETRIC INSTABILITIES
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DAMPING
EXPERIMENTAL DATA
FOURIER ANALYSIS
ONE-DIMENSIONAL CALCULATIONS
PHASE SHIFT
POTENTIALS
RESONANCE
RINGS
SIMULATION
THEORETICAL DATA
DATA
ELECTRICAL PROPERTIES
EQUATIONS
FIELD EQUATIONS
INFORMATION
INSTABILITY
JUNCTIONS
NUMERICAL DATA
PHYSICAL PROPERTIES
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
SUPERCONDUCTING JUNCTIONS
665411* - Basic Superconductivity Studies- (1992-)
SUPERCONDUCTIVITY AND SUPERFLUIDITY
JOSEPHSON JUNCTIONS
ELECTRIC CONDUCTIVITY
SINE-GORDON EQUATION
PARAMETRIC INSTABILITIES
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DAMPING
EXPERIMENTAL DATA
FOURIER ANALYSIS
ONE-DIMENSIONAL CALCULATIONS
PHASE SHIFT
POTENTIALS
RESONANCE
RINGS
SIMULATION
THEORETICAL DATA
DATA
ELECTRICAL PROPERTIES
EQUATIONS
FIELD EQUATIONS
INFORMATION
INSTABILITY
JUNCTIONS
NUMERICAL DATA
PHYSICAL PROPERTIES
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
SUPERCONDUCTING JUNCTIONS
665411* - Basic Superconductivity Studies- (1992-)