Three unequal masses on a ring and soft triangular billiards
arXiv:1111.1966 · doi:10.1063/1.3683465
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 {\it masses ratio} between particles and {\it softness ratio} of the particles interaction. The transition from soft to hard interaction 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.
7 pages, 7 figures
References in corpus (6)
- Does confining the hard-sphere fluid between hard walls change its average properties?
- Simulation of Electron Transport through a Quantum Dot with Soft Walls
- Soft wall effects on interacting particles in billiards
- Origin of chaos in soft interactions and signatures of nonergodicity
- Velocity Distribution and the Effect of Wall Roughness in Granular Poiseuille Flow
- Gauss map and Lyapunov exponents of interacting particles in a billiard