论文标题
解决方案中电子松弛的扩散反应方法：Dirac Delta功能水槽模型的精确时域解决方案
Diffusion-reaction approach to electronic relaxation in solution: Exact time domain solution for Dirac delta function sink model
论文作者
论文摘要
我们提出了一种分析方法，用于找到溶液中分子电子松弛问题的时域解决方案。松弛过程是通过通过吸收的水槽的扩散概率分布的衰减来建模的。在我们的模型中，使用Smoluchowski方程进行谐波电位对扩散运动进行建模，而水槽由任意强度和位置的Dirac Delta函数表示。很长一段时间以来，这一直是一个未解决的问题，并且非常重要地是理解溶液中分子的非辐射电子松弛的模型。我们的解决方案可用于了解各种反应扩散问题。
We propose an analytical method for finding the time domain solution for the problem of electronic relaxation of a molecule in solution. The relaxation process is modeled by the decay of a diffusing probability distribution through an absorbing sink. In our model, the diffusive motion is modeled using the Smoluchowski equation for harmonic potential and the sink is represented by a Dirac Delta function of arbitrary strength and position. This has been an unsolved problem for a long time and is of immense importance as a model for understanding non-radiative electronic relaxation of a molecule in solution. Our solution can be used to understand various reaction-diffusion problems.
