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Chaotic scattering information


Chaotic scattering is a branch of chaos theory dealing with scattering systems displaying a strong sensitivity to initial conditions. In a classical scattering system there will be one or more impact parameters, b, in which a particle is sent into the scatterer. This gives rise to one or more exit parameters, y, as the particle exits towards infinity. While the particle is traversing the system, there may also be a delay time, T—the time it takes for the particle to exit the system—in addition to the distance travelled, s. In certain systems (e.g. "billiard-like" systems in which the particle undergoes lossless collisions with hard, fixed objects) the two will be equivalent—see below. In a chaotic scattering system, a minute change in the impact parameter, may give rise to a very large change in the exit parameters.

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Chaotic scattering

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Chaotic scattering is a branch of chaos theory dealing with scattering systems displaying a strong sensitivity to initial conditions. In a classical scattering...

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Chaos theory

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Chaos as topological supersymmetry breaking Chaos machine Chaotic mixing Chaotic scattering Control of chaos Determinism Edge of chaos Emergence Mandelbrot...

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Quantum chaos

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from semi-classical regimes as well as a large effort in quantum chaotic scattering. In 1977, Berry and Tabor made a still open "generic" mathematical...

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Fractal

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Sweet, D.; Ott, E.; Yorke, J. A. (1999), "Complex topology in Chaotic scattering: A Laboratory Observation", Nature, 399 (6734): 315, Bibcode:1999Natur...

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Lakes of Wada

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Hamiltonian systems can also show the Wada property. In the context of the chaotic scattering of systems with multiple exits, basins of exits show the Wada property...

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Edward Ott

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many areas. Some examples are the following: chaotic scattering (including the onset of chaotic scattering as a system parameter is varied and the characteristics...

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Graham Farmelo

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P., Bercovich, C. and Smilansky, U., ‘Demonstration of classical chaotic scattering’, European Journal of Physics, Vol. 12 (1991), pages 122-128 Wikiquote...

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David Rawle

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judgement. With Seán's help, Martin negotiates life as the youngest in a chaotic, scatter-brained Irish family. He also provides the voice of Ben in the 2014...

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Padi Boyd

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Drexel University, Ph.D. Scientific career Fields Astrophysics Institutions NASA Thesis Chaotic Scattering in the Gravitational Three-body Problem  (1993)...

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PHL 5038

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than the stable zone, resulting in chaotic scattering at the beginning of the white dwarf stage, until the scattering decreased. Brown, A. G. A.; et al...

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Uncertainty exponent

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method of measuring the fractal dimension of a basin boundary. In a chaotic scattering system, the invariant set of the system is usually not directly accessible...

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Planetary migration

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large orbital radii is gravitational scattering by larger planets or, in a protoplanetary disk, gravitational scattering by over-densities in the fluid of...

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Lyapunov time

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Lyapunov time is the characteristic timescale on which a dynamical system is chaotic. It is named after the Russian mathematician Aleksandr Lyapunov. It is...

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Integrable system

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character from more generic dynamical systems, which are more typically chaotic systems. The latter generally have no conserved quantities, and are asymptotically...

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Ericson fluctuations

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fluctuations constitute one of the most characteristic features of quantum chaotic scattering in the regime of strongly overlapping resonances such as a compound...

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Francesca Ferlaino

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of quantum degeneracy of bosons and fermions, studies on quantum-chaotical scattering, the formation of quantum droplets, and investigations on the roton...

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Knight of Swords

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According to Waite, he is described as riding in full course, as if scattering his enemies. This fits well, as Waite associates it, among other things...

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Sarah Ortmeyer

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Smith wrote for The New York Times that the artwork was, "a large, chaotic scatter piece involving numerous chessboards and several species of natural...

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List of Dragon Ball Super episodes

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the Victory Celebration! Showdown at Last?! Monaka vs. Son Goku!" / "A Chaotic Victory Party! Showdown at Last? Monaka vs. Goku!" Transliteration: "Haran...

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Higher order coherence

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{\displaystyle \gamma ^{(1)}(\tau )=e^{-i\omega _{0}\tau }} For Lorentzian chaotic light (e.g. collision broadened): γ ( 1 ) ( τ ) = e − i ω 0 τ − | τ | τ...

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Mesoscopic physics

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Branched flow – Scattering phenomenon in wave dynamics Ballistic conduction – Movement of charge carriers with negligible scattering Coulomb blockade –...

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Reynolds number

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Reynolds numbers and is dominated by inertial forces, which tend to produce chaotic eddies, vortices and other flow instabilities. The Reynolds number is defined...

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Fiber laser

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resistance, nonlinear effects such as stimulated Raman scattering (SRS), stimulated Brillouin scattering (SBS), mode instabilities, and poor output beam quality...

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Dynamical billiards

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essentially the maximally chaotic Hadamard billiards. A particle is subject to a constant force (e.g. the gravity of the Earth) and scatters inelastically on a...

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Bene Gesserit

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Herbert notes that over 10,000 years before the events of Dune, in the chaotic time after the Butlerian Jihad and before the unveiling of the Orange Catholic...

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Nice model

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scattering tens of thousands of planetesimals from their formerly stable orbits in the outer Solar System. This disruption almost entirely scatters the...

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List of Danball Senki episodes

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battle Daiki. Ami uses Pandora's speed, calculations, and the finisher Chaotic Fist to defeat Bibinbird X3 while Gouda sacrifices an arm to pin Joker...

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