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arXiv 1102.4303nlin.CD
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含时球场台球中费米加速的减速机制

Deceleration mechanism of Fermi acceleration in a time-dependent stadium billiard

André L. P. Livorati, Alexander Loskutov, Edson D. Leonel

摘要:

利用四维非线性映射研究了含时类体育场台球系统的动力学。我们已经证明,即使没有任何耗散,粒子的速度也会降低。这种条件与临界共振速度有关,其中如果初始速度具有比共振速度更高的值,则我们可以观察到费米加速度,然而,如果初始速度具有小于临界速度的初始值,则粒子暂时被捕获在稳定岛周围,处于粘性状态。我们认为这种粘性轨道可以作为费米加速的减速机制。

英文摘要:

The dynamics of a time-dependent stadium-like billiard are studied by a four dimensional nonlinear mapping. We have shown that even without any dissipation, the particle experiences a decrease on its velocity. Such condition is related with a critical resonance velocity, where if the initial velocity has a higher value than the resonant one, we can observe Fermi acceleration, however, if the initial velocity has a initial value smaller than the critical one, the particle is temporarily trapped surrounding the stability islands, in a stickiness regime. We believe that this sticky orbits can act as deceleration mechanism for Fermi Acceleration.

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