Josephson junction at the onset of chaos: A complete devil's staircase

Journal Article · Fri Mar 01 04:00:00 EST 1985 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.31.2753· OSTI ID:6127545

Alstrom, P; Levinsen, M T

By analog computer calculations of the resistively and capacitively shunted Josephson junction model, I-V characteristics are measured for several choices of the parameters in the Josephson equation. The points, where hysteresis sets in, are related to cubic inflection points in the return map. For different values of the amplitude and the frequency of the imposed ac field the critical line is determined in the (I,G) space, where I is the dc current and G is the damping factor. Furthermore, the subharmonic steps along the critical line form a complete devil's staircase with a fractal dimension Dapprox.0.87 and a decay exponent for the (1/Q)-steps deltaapprox.3. Besides the hysteresis which gives occasion for a chaotic behavior everywhere below a certain critical voltage, hysteresis also turns up locally. It is suggested that the critical points where local hysteresis occurs can be found by use of a local approximation.

• Research Organization: H. C. Orsted Institute, Universitetsparken 5, DK-2100 Copenhagen O, Denmark
• OSTI ID: 6127545
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 31:5; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656101* -- Solid State Physics-- Superconductivity-- General Theory-- (-1987)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COMPUTER CALCULATIONS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
HYSTERESIS
JOSEPHSON EFFECT
JOSEPHSON JUNCTIONS
JUNCTIONS
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
SUPERCONDUCTING JUNCTIONS