Space-time pattern formation and conversion in the dc-driven, damped sine-Gordon equation
Journal Article
·
· Phys. Rev. B: Condens. Matter; (United States)
We present results of a numerical and analytical study of the dc-driven, damped sine-Gordon equation with periodic boundary conditions. We find that this system is characterized by competitions between two classes of multisoliton--wave-train, space-time structures; phase-locked (cavity-mode) states and kink-antikink (fluxon-antifluxon) pairs. We also find that a variety of pattern transitions occur between these states. Our results are reported in the language of zero-field steps in annular Josephson junctions and transverse instabilities on propagating interfaces in, e.g., charge-density-wave materials and crystals.
- Research Organization:
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
- OSTI ID:
- 6136966
- Journal Information:
- Phys. Rev. B: Condens. Matter; (United States), Vol. 35:7
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
JOSEPHSON JUNCTIONS
SINE-GORDON EQUATION
SOLITONS
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DAMPING
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PLASMA WAVES
EQUATIONS
FIELD EQUATIONS
JUNCTIONS
QUASI PARTICLES
SUPERCONDUCTING JUNCTIONS
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657000 - Theoretical & Mathematical Physics
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
JOSEPHSON JUNCTIONS
SINE-GORDON EQUATION
SOLITONS
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DAMPING
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PLASMA WAVES
EQUATIONS
FIELD EQUATIONS
JUNCTIONS
QUASI PARTICLES
SUPERCONDUCTING JUNCTIONS
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657000 - Theoretical & Mathematical Physics