Hard ball systems are completely hyperbolic

Academic Article

Abstract

  • We consider the system of N (≥ 2) elastically colliding hard balls with masses ℳ1, . . . , ℳN, radius r, moving uniformly in the flat torus double-struck T signvL= ℝv/L · ℤv, v ≥ 2. It is proved here that the relevant Lyapunov exponents of the flow do not vanish for almost every (N + 1)-tuple (ℳ1, . . . , ℳN; L) of the outer geometric parameters.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Simányi N; Szász D
  • Start Page

  • 35
  • End Page

  • 96
  • Volume

  • 149
  • Issue

  • 1