Proof of the Boltzmann-Sinai ergodic hypothesis for typical hard disk systems

Academic Article

Abstract

  • We consider the system of N (≥ 2) hard disks of masses m1, . . . , mN and radius r in the flat unit torus T2. We prove the ergodicity (actually, the B-mixing property) of such systems for almost every selection (m1, . . . , mN r) of the outer geometric parameters.
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    Published In

    Digital Object Identifier (doi)

    Author List

  • Simányi N
  • Start Page

  • 123
  • End Page

  • 178
  • Volume

  • 154
  • Issue

  • 1