论文标题
冷动力学系统和自相似性的平衡解决方案
Equilibrium solution for cold dynamical systems and self-similarity
论文作者
论文摘要
数值模拟显示了动态冷初始解决方案与自相似性的演变之间的联系。但是，该链接的性质尚未完全理解。在这项工作中，建立了冷初始条件与平衡附近的自相似性之间的联系。使用幂律潜力中的分析解决方案分析了自相似性的演变。分析解决方案表明在许多动态时间之后的自相似性融合了，即使野性条件远非自相似。使用扰动分析扩展了幂律模型。扰动分析表明，一旦发起了幂律的潜力，它就会变得更强大和传播。这种行为证明了与自动相似性的收敛背后的机制。冷溶液与广泛的自相似解决方案兼容。因此，某些特定自我相似性类别的种子似乎必须诱导收敛机制。在实践中，有必要进行一些势力势能的局部诱导，并给出了这种感应机制的一些例子。
Numerical simulations demonstrate a link between dynamically cold initial solutions and an evolution towards self-similarity. However the nature of this link is not fully understood. In this work the link between cold initial conditions and self-similarity near equilibrium is established. The evolution towards self-similarity is analyzed using an analytical solution in a power-law potential. The analytical solution indicates a convergence towards self-similarity after a number of dynamical times even if the inital conditions are far from self-similarity. The power-law model is extended by using perturbative analysis. The perturbative analysis shows that once the power-law potential is initiated it tends to become stronger and propagate. This behavior demonstrates the mechanism behind the convergence towards auto-similarity. The cold solutions are compatible with a broad range of self-similar solutions. As a consequence some seed of a specific self similarity class must appear to induce a convergence mechanism. In practice some local induction of a power-law potential is necessary and some examples of such inductive mechanisms are given.
