Orbit stability in billiards in magnetic field

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.

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

References in corpus (3)

• Quenched and Negative Hall Effect in Periodic Media: Application to Antidot Superlattices
• Entire Fredholm determinants for Evaluation of Semi-classical and Thermodynamical Spectra
• A Fredholm Determinant for Semi-classical Quantization

Cited by in corpus (2)

• Magnetic-field dependence of transport in normal and Andreev billiards: a classical interpretation to the averaged quantum behavior
• Geometry effects in the magnetoconductance of normal and Andreev Sinai billiards