1997/10/14 by Zoltán Kovács, Zoltan Kovacs · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Curvature #Formalism (music) #Geometry #Homogeneous #Lorentz force #Lorentz transformation #Magnetic field #Nonlinear Waves and Solitons #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #chao-dyn #nlin.CD
paper · pdf · doi:10.1016/s0370-1573(97)00058-6
published in Physics Reports 290(1-2), 49-66 (Elsevier BV) · 20 pages, LaTeX (REVTeX), 9 PostScript figures; to appear in Physics Reports, November 1997
arxiv created 1997/10/14 · openalex publication_date 1997/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.