Department of Mathematical Sciences, Loughborough University, Loughborough, United Kingdom.
Phys Rev Lett. 2012 Feb 10;108(6):064102. doi: 10.1103/PhysRevLett.108.064102.
We study a classical billiard of charged particles in a strong nonuniform magnetic field. We provide an adiabatic description for skipping motion along the boundary of the billiard. We show that a sequence of many changes of regimes of motion from skipping to motion without collisions with the boundary and back to skipping leads to destruction of the adiabatic invariance and chaotic dynamics in a large domain in the phase space. This is a new mechanism of the origin of chaotic dynamics for systems with impacts.
我们研究了在强非均匀磁场中带电粒子的经典弹球问题。我们为沿着弹球边界的跳跃运动提供了一个绝热描述。我们表明，从跳跃运动到与边界无碰撞运动再到跳跃运动的许多运动模式的变化序列会导致在相空间的大区域中破坏绝热不变性和混沌动力学。这是具有冲击的系统中混沌动力学起源的一种新机制。
