具有非定常振荡尾部的定常放热转捩锋的传播
Propagation of stationary exothermic transition front with nonstationary oscillatory tail
摘要：
本文研究了一个离散保守振荡链中的外热转捩锋的传播。对这些前沿的充分描述是预测重要瞬态现象的关键，包括相变和拓扑化学反应。由于恒定的能量供应，过渡锋可以高速传播，排除了任何基于连续性的考虑。锋的平稳传播伴随着内部结构复杂的非平稳振荡尾的形成。我们证明了振荡尾的结构与振荡的相速度和群速度之间的关系有关。我们还建议一个近似的分析程序，它允许一个确定的传播过程中的所有基本特征：速度和宽度的前，频率和振幅的后前振荡，以及结构的振荡尾巴。作为一个例子，我们考虑了一个简单的双调和双阱在位势的情况。数值结果很好地符合分析预测。
英文摘要：
We consider a propagation of exotermic transition front in a discrete conservative oscillatory chain. Adequate description of such fronts is a key point in prediction of important transient phenomena, including phase transitions and topochemical reactions. Due to constant energy supply, the transition front can propagate with high velocities, precluding any continuum-based considerations. Stationary propagation of the front is accompanied by formation of a non-stationary oscillatory tail with complicated internal structure. We demonstrate that the structure of the oscillatory tail is related to a relationship between phase and group velocities of the oscillations. We suggest also an approximate analytic procedure, which allows one to determine all basic characteristics of the propagation process: velocity and width of the front, frequency and amplitude of the after-front oscillations, as well as the structure of the oscillatory tail. As an example, we consider a simple case of biharmonic double-well on-site potential. Numeric results nicely conform to the analytic predictions.
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