溶液中电子弛豫的扩散-反应方法：Dirac δ函数汇模型的精确时域解
Diffusion-reaction approach to electronic relaxation in solution: Exact time domain solution for Dirac delta function sink model
摘要：
本文提出了一种求解溶液中分子电子弛豫问题的时域解的解析方法。弛豫过程是通过一个吸收汇扩散概率分布的衰减建模。在我们的模型中，扩散运动采用调和势的Smoluchowski方程来模拟，汇用任意强度和位置的Dirac Delta函数来表示。这一直是一个未解决的问题很长一段时间，是一个非常重要的模型，为了解非辐射电子弛豫的分子在溶液中。我们的解决方案可以用来理解各种反应扩散问题。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
