标题： 振动核小球的混沌性 显示英文标题

标题： Chaoticity in Vibrating Nuclear Billiards

摘要： 我们研究了被限制在一个二维“核”形状的弹子球箱中的经典粒子的运动，该箱子的壁根据固定的多重极性进行周期性的形状振荡。单粒子哈密顿量中粒子运动与集体坐标之间的耦合项的存在生成了完全自洽的动力学。我们特别考虑了单极振荡，并证明了自洽性对于诱导单粒子的混沌运动是必不可少的。我们还讨论了壁运动的耗散行为及其与微观自由度动力学中有序到混沌转变的关系。类似的考虑可以扩展到更高的多重极性。 显示英文摘要

摘要： We study the motion of classical particles confined in a two-dimensional "nuclear" billiard whose walls undergo periodic shape oscillations according to a fixed multipolarity. The presence of a coupling term in the single particle Hamiltonian between the particle motion and the collective coordinate generates a fully selfconsistent dynamics. We consider in particular monopole oscillations and demonstrate that self-consistency is essential in order to induce chaotic single-particle motion. We also discuss the dissipative behaviour of the wall motion and its relation with the order-to-chaos transition in the dynamics of the microscopic degrees of freedom. Analogous considerations can be extended to higher multipolarities.