三个不等质量的环和软三角台球
Three unequal masses on a ring and soft triangular billiards
摘要：
环上三个相互作用的软粒子的动力学对应于一个软三角形台球内的一个粒子的运动。软台球内部的动力学仅取决于粒子之间的{ \it质量比}和粒子相互作用的{ \it柔软度比}。从软到硬的相互作用的过渡可以适当地探索使用的潜力，相应的运动方程是很好地定义在硬壁极限。数值例子显示软户田相互作用和误差函数。
英文摘要：
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.
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