论文标题
在有吸引力的逐步线性势能曲线的情况下，通过高斯水槽的反应扩散动力学
Reaction-diffusion dynamics through a Gaussian sink in the presence of an attractive stepwise linear potential energy curve
论文作者
论文摘要
在本报告中，我们引入了Fredholm积分方法，以解决Laplace域中的Smoluchowski方程。在动态扩散过程中，我们获得了线性势能曲线的精确半分析溶液，并且通过数值逆拉环转换方法计算生存概率。我们在两个不同的物理环境中应用我们的方法，以找到不同可观察到的可观察到的方法，例如在光合系统或掺杂分子晶体中的溶液中电子松弛和量子产率中的平均速率常数。
In the present report, we have introduced the Fredholm integral method to solve the Smoluchowski equation in the Laplace domain. We get an exact semi-analytical solution for the linear potential energy curve in the dynamic diffusion process, and the survival probability is calculated by the numerical inverse Laplace transform method. We apply our method in two different physical contexts for finding different observable like average rate constant in electronic relaxation in solution and quantum yields in a photosynthetic system or doped molecular crystal.
