Orbit stability in billiards in magnetic field

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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20 pages, LaTeX (REVTeX), 9 PostScript figures; to appear in Physics Reports, November 1997

Scientific paper

10.1016/S0370-1573(97)00058-6

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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