title: Three unequal masses on a ring and soft triangular billiards.
abstract: The dynamics of three soft interacting particles on a ring is shown to correspond to the motion of one particle inside a soft triangular billiard. The dynamics inside the soft billiard depends only on the masses ratio between particles and softness ratio of the particles interaction. The transition from soft to hard interactions can be appropriately explored using potentials for which the corresponding equations of motion are well defined in the hard wall limit. Numerical examples are shown for the soft Toda-like interaction and the error function.
authors: Universidade Tecnológica Federal do Paraná, 87301-006 Campo Mourão, Brazil.
authors: H A
authors: HA
authors: Oliveira
authors: G A
authors: GA
authors: Emidio
authors: M W
authors: MW
authors: Beims