类棘轮费米加速中的耗散效应
Dissipation effects in the ratchetlike Fermi acceleration
摘要：
交流驱动的非对称脉冲可用于控制三种不同运动之间的费米加速度，${\bf A:}$为{ \it加速}模式; ${\bf D:}$为{ \it减速}模式，${\bf H:}$为{ \it超加速}模式。在这项工作中，我们表明，耗散强烈影响粒子的速度，减少了精确控制的动力学的可能性。由于耗散，平均速度开始恒定的饱和时间以幂律$\simγ^{-β}$衰减，其中$γ$是耗散参数，$β$接近1。饱和平均速度的值也以幂律衰减，对于${\bf H}$情况，指数为$β\sim0.6$，对于${\bf A}$情况，指数为$β\sim0.3$。在${\bf D}$的情况下，对于小的耗散，该速度几乎是恒定的。
英文摘要：
Ac driven asymmetric pulses can be used to control the Fermi acceleration between three different motions, ${\bf A:}$ the {\it accelerated} mode; ${\bf D:}$ the {\it decelerated} mode and ${\bf H:}$ the {\it hyperaccelerated} mode. In this work we show that dissipation strongly affects the particles velocity, reducing the possibility for an accurate control of the dynamics. The saturation time, where the mean velocity starts to be constant due to dissipation, decays with a power law $\simγ^{-β}$, where $γ$ is the dissipation parameter and $β$ is close to 1. The value of the saturated mean velocity also decays with a power law with exponent $β\sim0.6$ for the case ${\bf H}$, and $β\sim0.3$ for the case ${\bf A}$. In the case ${\bf D}$ this velocity is almost constant for small dissipations.
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