Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany.
Chaos. 2012 Jun;22(2):026114. doi: 10.1063/1.3697408.
We investigate the effect of white-noise perturbations on chaotic trajectories in open billiards. We focus on the temporal decay of the survival probability for generic mixed-phase-space billiards. The survival probability has a total of five different decay regimes that prevail for different intermediate times. We combine new calculations and recent results on noise perturbed Hamiltonian systems to characterize the origin of these regimes and to compute how the parameters scale with noise intensity and billiard openness. Numerical simulations in the annular billiard support and illustrate our results.
我们研究了白噪声微扰对开式台球中混沌轨迹的影响。我们关注的是一般混合相空间台球中生存概率的时间衰减。生存概率共有五个不同的衰减区域，在不同的中间时间内占主导地位。我们结合了新的计算和最近关于噪声微扰哈密顿系统的结果，以描述这些区域的起源，并计算参数如何随噪声强度和台球开放性而变化。在环形台球中的数值模拟支持并说明了我们的结果。
