Khodas M, Fishman S
Physics Department, Technion, Haifa 32000, Israel.
Phys Rev Lett. 2000 Mar 27;84(13):2837-40. doi: 10.1103/PhysRevLett.84.2837.
The dynamics of the kicked rotor, which is a paradigm for a mixed system, where the motion in some parts of phase space is chaotic and in other parts is regular, is studied statistically. The evolution operator of phase space densities in the chaotic component is calculated in the presence of noise, and the limit of vanishing noise is taken in the end. The relaxation rates to the equilibrium density are calculated analytically within an approximation that improves with increasing stochasticity. The results are tested numerically. A global picture is presented of relaxation to the equilibrium density in the chaotic component when the system is bounded and to diffusive behavior when it is unbounded.
受踢转子的动力学是一个混合系统的范例，其相空间某些部分的运动是混沌的，而其他部分是规则的，本文对其进行了统计研究。在存在噪声的情况下计算了混沌分量中相空间密度的演化算符，并最终取噪声消失的极限。在一个随着随机性增加而改进的近似范围内，解析计算了向平衡密度的弛豫率。通过数值方法对结果进行了检验。给出了一个全局图像，即当系统有界时混沌分量向平衡密度的弛豫情况，以及当系统无界时的扩散行为。
