AI 中文总结
该研究构建了径向非绝热脉动的二次平衡关系，将其应用于AGB包层的径向脉动以检验计算准确性、获取模式激发阻尼信息，并与经典公式对比分析相关模式的特性。
AI 中文摘要
我们采用半线性压力-体积变化率核与线性脉动方程，结合功积分、表面项、范数积分以及脉动频率的实部（对应exp(ωt)时间依赖关系），以线性径向脉动变量的形式构建了一种平衡关系。该关系在采用的径向非绝热公式框架内是精确的。我们将此二次平衡关系应用于渐近巨星支（AGB）包层中的径向脉动，并用它来检验计算的准确性，获取模式激发与阻尼的相关信息。我们还将该平衡关系与基于耗散和动能积分的经典公式进行比较，讨论当前分解所明确的平衡方程各分量的含义，及其与AGB包层中普通模式和奇异模式的相关性。
英文摘要
Using a sesquilinear pressure - rate of volume change kernel and linear pulsation equations, we formulate a balance relation combining work integral, surface terms, norm integral and the real part of pulsation frequency (for $\exp({ωt})$ time dependence) in terms of linear radial pulsation variables. The resulting relation is exact within the adopted radial nonadiabatic formulation. We apply the quadratic balance relation to radial pulsations in AGB envelopes and use it to check the accuracy of computation and to obtain information about mode excitation and damping. We also compare the balance relation with the classical formulation based on dissipation and kinetic energy integrals and discuss the meaning of the components made explicit by the present decomposition that appear in our balance equation and their relevance for ordinary and strange modes in AGB envelopes.
Comments27 pages, 10 figures
