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Berggren, K. F.
Crossover from regular to irregular behavior in current flow through open billiards / K. F. Berggren, A. F. Sadreev, A. A. Starikov // Phys. Rev. E. - 2002. - Vol. 66, Is. 1. - Ст. 16218, DOI 10.1103/PhysRevE.66.016218. - Cited References: 36 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
PHASE SINGULARITIES
   NODAL POINTS
   WAVE-FIELDS
   QUANTUM
   STREAMLINES
   CONDUCTANCE
   VORTICES
   CHAOS
Кл.слова (ненормированные):
Eigenvalues and eigenfunctions -- Mathematical models -- Networks (circuits) -- Random processes -- Resonance -- Signal processing -- Spurious signal noise -- Bursting time series -- Coherence resonance -- Power spectrum -- Stochastic resonance -- Chaos theory
Аннотация: We discuss signatures of quantum chaos in terms of distributions of nodal points, saddle points, and streamlines for coherent electron transport through two-dimensional billiards, which are either nominally integrable or chaotic. As typical examples of the two cases we select rectangular and Sinai billiards. We have numerically evaluted distribution functions for nearest distances between nodal points and found that there is a generic form for open chaotic billiards through which a net current is passed. We have also evaluated the distribution functions for nodal points with specific vorticity (winding number) as well as for saddle points. The distributions may be used as signatures of quantum chaos in open systems. All distributions are well reproduced using random complex linear combinations of nearly monochromatic states in nominally closed billiards. In the case of rectangular billiards with simple sharp-cornered leads the distributions have characteristic features related to order among the nodal points. A flaring or rounding of the contact regions may, however, induce a crossover to nodal point distributions and current flow typical for quantum chaos. For an irregular arrangement of nodal points, as for example in the Sinai billiard, the quantum flow lines become very complex and volatile, recalling chaos among classical trajectories. Similarities with percolation are pointed out.

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Держатели документа:
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Dept. of Phys. and Msrmt. Technology, Linkoping University, S-581 83 Linkoping, Sweden
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Starikov, A. A.
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