Chaotic scattering and the magneto-Coulomb map.

Area of Science:

• Physics
• Plasma Physics
• Classical Mechanics

Background:

• Electron scattering is fundamental in plasma physics.
• Understanding electron-ion interactions in magnetic fields is crucial for plasma behavior.
• Nonintegrable systems can exhibit complex, chaotic dynamics.

Purpose of the Study:

• To investigate nonrelativistic classical electron scattering by a fixed ion in a uniform magnetic field.
• To analyze the emergence of chaotic scattering and its characteristics.
• To identify potential applications of this phenomenon in plasma environments.

Main Methods:

• Derivation of a two-dimensional discrete map from the equations of motion.
• Numerical estimation of the chaotic scattering region's width.
• Analysis of different types of motion based on initial conditions.

Main Results:

• The system is nonintegrable and exhibits chaotic scattering for specific initial conditions.
• A derived discrete map shows four distinct types of motion.
• Fractal structures are observed in certain observables.
• The width of the chaotic scattering region was numerically estimated.

Conclusions:

• Chaotic electron scattering is a significant feature of this system.
• The derived map effectively models the observed complex dynamics.
• The findings have potential relevance for understanding specific plasma environments.