Tunneling corrections on Kramers escape rates with power-law distribution in three damping systems are obtained separately based on flux over population theory by introducing the tunneling correction into flux. Two common barriers (Eckart barrier and parabolic barrier) are used to calculate tunneling corrections. We take the relevant parameters from the H + H2 reaction to further study how the tunneling correction affects the escape rates in three damping cases. It shows that the tunneling correction has great impact on escape rate in low damping and overdamped systems, but has little impact in low-to-intermediate damping (LID) system. Heretofore, we extend our previous work to a wider range of application areas.

中文翻译：

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不同阻尼系统逃逸率的隧道修正

基于通量超过总体理论，通过将隧道校正引入通量，分别获得了三个阻尼系统中具有幂律分布的克莱默逃逸率的隧道校正。两种常见的障碍（Eckart 障碍和抛物线障碍）用于计算隧道校正。我们从相关参数H + H2进一步研究隧道校正如何影响三种阻尼情况下的逃逸率的反应。结果表明，隧穿修正对低阻尼和过阻尼系统的逃逸率影响较大，而对中低阻尼（LID）系统影响不大。迄今为止，我们将之前的工作扩展到更广泛的应用领域。