Local (in time) maximal lyapunov exponents of fragmenting drops
Local (in time) maximal lyapunov exponents of fragmenting drops
复制标题
碎片滴的局部（及时）最大李雅普诺夫指数
DOI：
10.1103/physreve.62.7848
复制
发表时间：
2000
期刊：
影响因子：
--
通讯作者：
C. O. Dorso
中科院分区：
文献类型：
--
作者：
P. Balenzuela;C. A. Bonasera;C. O. Dorso;C. O. Dorso
我们分析了爆炸三维Lennard-Jones热滴的模拟碎片形成的动力学，使用最大的本地（在时间上）李雅普诺夫指数（MLLE）。该指数对系统激发能的依赖性根据动力学演化的阶段显示两种不同的行为：一种与演化的高度碰撞阶段有关，在早期，另一种与渐近状态有关。我们表明，在早期，高度碰撞，阶段的演变MLLE是一个不断增加的功能的能量，在一个无限大的系统。另一方面，在长时间内，MLLE显示最大值，主要取决于产生的最大片段的大小。我们比较MLLE的达到其渐近值的时间尺度与相空间中的碎片形成的特征时间。此外，计算所得碎片的最大李雅普诺夫指数（MLE）后，我们表明，它们与质量的依赖关系可以追溯到散装效应加上表面修正。利用这些信息，可以理解MLLE的渐近行为，并且可以容易地计算整个系统的MLE的波动。这些波动显示出激发能的突然增加，从而产生类似于幂律的碎片渐近分布。
We analyze the dynamics of fragment formation in simulations of exploding three-dimensional Lennard-Jones hot drops, using the maximum local (in time) Lyapunov exponent (MLLE). The dependence of this exponent on the excitation energy of the system displays two different behaviors according to the stage of the dynamical evolution: one related to the highly collisional stage of the evolution, at early times, and the other related to the asymptotic state. We show that in the early, highly collisional, stage of the evolution the MLLE is an increasing function of the energy, as in an infinite-size system. On the other hand, at long times, the MLLE displays a maximum, depending mainly on the size of the resulting biggest fragment. We compare the time scale at which the MLLE's reach their asymptotic values with the characteristic time of fragment formation in phase space. Moreover, upon calculation of the maximum Lyapunov exponent (MLE) of the resulting fragments, we show that their dependence with the mass can be traced to bulk effects plus surface corrections. Using this information the asymptotic behavior of the MLLE can be understood and the fluctuations of the MLE of the whole system can be easily calculated. These fluctuations display a sudden increase for that excitation energy which produces a power-law-like asymptotic distribution of fragments.