论文标题

表征从限制到时间依赖台球的能量无限扩散的过渡

Characterizing a transition from limited to unlimited diffusion in energy for a time-dependent billiard

论文作者

Silveira, Felipe Augusto O., da Fonseca, Anne Kétri P., Schmelcher, Peter, Ladeira, Denis G., Leonel, Edson Denis

论文摘要

我们在驱动的椭圆形台球中探索费米的加速度,该加速度在从自由到耗散案例中时显示出无限的能量扩散。我们提供证据证明发生了二阶过渡发生的证据,同时从负责耗散程度的一个人中解除相应的恢复系数。建议提出相应的顺序参数,并显示其敏感性在过渡点处有所不同。我们还讨论了基本的对称破坏和受控扩散过程的基本激发。

We explore Fermi acceleration in a driven oval billiard which shows unlimited to limited diffusion in energy when passing from the free to the dissipative case. We provide evidence for a second-order phase transition taking place while detuning the corresponding restitution coefficient from one responsible for the degree of dissipation. A corresponding order parameter is suggested, and its susceptibility is shown to diverge at the transition point. We also discuss the underlying symmetry breaking and the elementary excitation of the controlled diffusion process.

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