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Orbit stability in billiards in magnetic field

Zoltan Kovacs
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Abstract

We study the stability properties of orbits in dispersing billiards in a homogeneous magnetic field by using a modified formalism based on the Bunimovich-Sinai curvature (horocycle method). We identify simple periodic orbits that can be stabilized by the magnetic field in the four-disk model and the square-lattice Lorentz gas. The stable orbits can play a key role in determining the transport properties of these models.

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Zoltan Kovacs. 1997-10-14. Orbit stability in billiards in magnetic field. https://doi.org/10.1016/s0370-1573(97)00058-6

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