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Rainbow transition in chaotic scattering.

Alessandro P S de Moura1, Celso Grebogi

  • 1Institute for Plasma Research, Department of Mathematics, Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 23, 2002
PubMed
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Chaotic scattering can cause a system's differential cross-section to transform from complex and singular to smooth. This "rainbow transition" impacts inverse scattering and experimental chaos observation.

Area of Science:

  • * Classical mechanics
  • * Scattering theory
  • * Nonlinear dynamics

Background:

  • * Differential cross-section is a key measurable in scattering experiments.
  • * Chaotic scattering systems often exhibit complex behavior.
  • * Singularities in deflection functions are common in chaotic systems.

Purpose of the Study:

  • * Investigate the relationship between chaotic scattering and differential cross-sections.
  • * Analyze the impact of fractal singularities on observable scattering patterns.
  • * Identify and characterize a novel transition in chaotic scattering phenomena.

Main Methods:

  • * Analysis of classical chaotic scattering dynamics.
  • * Examination of the differential cross-section as a function of energy or other parameters.

Related Experiment Videos

  • * Identification of critical transitions in scattering behavior.

    • Main Results:

    • * Fractal singularities in deflection functions do not always appear in the differential cross-section.
    • * A
    • rainbow transition

    Conclusions:

    • * The rainbow transition offers new insights into chaotic scattering.
    • * Results have implications for inverse scattering problems in chaotic systems.
    • * Findings are relevant for the experimental detection of chaotic scattering.