论文标题
范德华模型中的相位空间结构和逃生时间动力学的放热反应
Phase space structure and escape time dynamics in a Van der Waals model for exothermic reactions
论文作者
论文摘要
我们研究了用于化学反应的古典哈密顿模型中控制传输的相空间结构。已经提出了该模型来研究超速放热反应中产物的产率。在被考虑的模型中，两个要素决定了系统的演变：范德华力和与多体相互作用相关的短距离力。在先前的工作中，已经使用了较小的随机周期性变化，以模拟短期多体相互作用。在目前的工作中，随机高斯凸起被添加到范德华势能中，模拟了系统中粒子之间的短距离效应。我们比较了模型的两个变体，并从相位空间的角度解释了它们的差异相似性和差异。为了可视化指导动力学在相空间中的结构，我们基于Maupertuis Action $ S_0 $构建了一个天然的Lagrangian描述符。
We study the phase space structures that control the transport in a classical Hamiltonian model for a chemical reaction. This model has been proposed to study the yield of products in an ultracold exothermic reaction. In the considered model, two elements determine the evolution of the system: a Van der Waals force and short-range force associated with the many-body interactions. In the previous work has been used small random periodic changes in the direction of the momentum to simulate the short-range many-body interactions. In the present work, random Gaussian bumps have been added to the Van der Waals potential energy simulate the short-range effects between the particles in the system. We compare both variants of the model and explain their differences similarities and differences from a phase space perspective. In order to visualize the structures that direct the dynamics in the phase space, we construct a natural Lagrangian descriptor for Hamiltonian systems based on the Maupertuis action $S_0$.
