论文标题
一维自我磨削系统中的动力和奇异性缓慢
Slow dynamics and ergodicity in the one-dimensional self-gravitating system
论文作者
论文摘要
我们重新审视了一维自我填充纸模型的动态。我们表明，均质和非均匀状态具有不同的千古特性。前者是非er依的，如果在周期性边界条件下采取适当的限制，则一粒子分布函数的碰撞项为零。在平衡时间顺序的时间窗口中，非均匀状态是千古的，如在具有远距离相互作用的其他系统中类似地观察到的。对于床单，与最初的暴力放松时间相比，这种放松时间比其他具有远距离相互作用的系统要大得多。
We revisit the dynamics of the one-dimensional self-gravitating sheets models. We show that homogeneous and non-homogeneous states have different ergodic properties. The former is non-ergodic and the one-particle distribution function has a zero collision term if a proper limit is taken for the periodic boundary conditions. Non-homogeneous states are ergodic in a time window of the order of the relaxation time to equilibrium, as similarly observe in other systems with a long range interaction. For the sheets model this relaxation time is much larger than other systems with long range interactions if compared to the initial violent relaxation time.
