控制费米减速和超加速的棘轮脉冲
Ratchetlike pulse controlling the Fermi deceleration and hyperacceleration
摘要：
使用交流驱动的非对称脉冲，我们展示了如何费米加速（减速）可以控制。考虑了静态Fermi-Ulam模型中运动壁面的{ \it变形}棘轮脉冲。脉冲在一个振荡周期上的时间积分必须为负以获得减速，为正以获得超加速。我们表明，而减速的情况下是混沌的，超加速的情况下，李雅普诺夫指数收敛到零。数值模拟表明，超加速情况下，在速度空间是遍历的。在不同的脉冲变形之间切换，我们能够控制粒子加速度。结果应适用于时间积分可在正值和负值之间操纵的任何脉冲。
英文摘要：
Using an ac driven asymmetric pulse we show how the Fermi acceleration (deceleration) can be controlled. A {\it deformed} sawtooth (Ratchetlike) pulse representing the moving wall in the static Fermi-Ulam model is considered. The time integral from the pulse over one period of oscillation must be negative to obtain deceleration and positive to obtain hyperacceleration. We show that while the decelerated case is chaotic, for the hyperaccelerated case the Lyapunov exponents converge to zero. Numerical simulations indicate that the hyperaccelerated case is ergodic in velocity space. Switching between different pulse deformations we are able to control the particle acceleration. Results should be valid for any pulse for which the time integral can be manipulated between positive and negative values.
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