Multifractality, multifractal phase transitions, and symmetry-increasing bifurcations in ac-driven phase-slip centers

Journal Article · Tue Jan 15 04:00:00 EST 1991 · Physical Review, A; (USA)

DOI:https://doi.org/10.1103/PhysRevA.43.669· OSTI ID:6096769

Rangel, R; Guerrero, L E ^[1]

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1. Departamento de Fisica, Facultad de Ciencias, Universidad Central de Venezuela, Apartado 47586, Caracas 1041A, Venezuela (VE) Centro de Fisica, Instituto Venezolano de Investigaciones Cientificas, Apartado 21827, Caracas 1020A, Venezuela

Chaos at and beyond onset is studied for nonequilibrium current-carrying dissipative states in quasi-one-dimensional dirty superconductors. For the case of ac-driving currents, phase-slip center solutions of the generalized time-dependent Ginzburg-Landau equations show a universal transition at the onset of chaos. For currents below the onset, the pervasive feature is the nonhyperbolicity: homoclinic tangency between stable and unstable manifolds of unstable periodic orbits. Pointwise dimensions {alpha}({ital x}) evaluated on the attractors show abnormally low values, indicating regions made of an overlapping of stable and unstable manifolds of saddle orbits. These regions cause a break of self-similarity and a phaselike transition in the multifractal probability measure of the attractor. Finally, one of these tangencies causes a symmetry-increasing bifurcation.

• OSTI ID: 6096769
• Journal Information: Physical Review, A; (USA), Journal Name: Physical Review, A; (USA) Vol. 43:2; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
FRACTALS
GINZBURG-LANDAU THEORY
NOISE
ORDER-DISORDER TRANSFORMATIONS
PHASE TRANSFORMATIONS
SUPERCONDUCTORS
TIME DEPENDENCE