Cell-mapping description of coexisting phase-locked soliton states in a long ac-biased Josephson junction

Journal Article · Fri Nov 30 23:00:00 EST 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.42.9987· OSTI ID:5830177

Fernandez, J C; Grauer, R; Pinnow, K; Reinisch, G ^[1]

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1. Observatoire de la Cote d'Azur, Boite Postale No. 139, F-06003 Nice CEDEX (France)

The coexistence of phase-locked soliton states in a long ac-biased Josephson junction is pointed out on the basis of numerical calculations. We use a combined interpolation and cell-mapping technique to calculate periodic orbits along with their stability and basins of attraction. The dominant coexistent phase-locked states consist of the well-known zero-field step (shuttling regime of solitons) and the so-called {ital C}-cycle dynamics. In the latter the soliton is bouncing only at one end of the junction, therefore producing no average voltage. The probability of reaching the basins of attraction of these different motions explains the hysteresis and the complicated fine structure in the current-voltage curve obtained from the model equation.

• OSTI ID: 5830177
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 42:16; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALTERNATING CURRENT
BOUNDARY CONDITIONS
CURRENTS
ELECTRIC CURRENTS
ELECTRIC POTENTIAL
FINE STRUCTURE
HYSTERESIS
JOSEPHSON JUNCTIONS
JUNCTIONS
MAPPING
NUMERICAL SOLUTION
QUASI PARTICLES
SOLITONS
SUPERCONDUCTING JUNCTIONS