Space-time pattern formation and conversion in the dc-driven, damped sine-Gordon equation

Journal Article · Sat Feb 28 23:00:00 EST 1987 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.35.3207· OSTI ID:6136966

Ariyasu, J C; Bishop, A R

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), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 35:7; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
657000 -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DAMPING
EQUATIONS
FIELD EQUATIONS
JOSEPHSON JUNCTIONS
JUNCTIONS
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PLASMA WAVES
QUASI PARTICLES
SINE-GORDON EQUATION
SOLITONS
SUPERCONDUCTING JUNCTIONS