论文标题
具有不同形状的超短渠道的溶液中电子松弛理论：精确的分析溶液
Theory of Electronic Relaxation in solution with ultra-short sink of different shapes: An exact analytical solution
论文作者
论文摘要
我们提出了一个非常简单的一维可以分析溶解模型，以了解溶液中分子的电子松弛问题。该问题是由在抛物线宽度下抛物线势的影响下扩散的粒子来建模的。扩散运动由Smoluchowski方程描述，水槽的形状由1）超短高斯，2）超短指数和3）在任意位置处的超短矩形功能。即使水槽的宽度太小，速率常数也对水槽功能的形状敏感。与观察溶液中分子电子松弛的问题相比，该模型是一种现实模型，作为一种现实模型非常重要。
We propose a very simple one dimensional analytically solvable model for understanding the problem of electronic relaxation of molecules in solution. This problem is modeled by a particle diffusing under the influence of parabolic potential in presence of a sink of ultra-short width. The diffusive motion is described by the Smoluchowski equation and shape of the sink is represented by 1) ultra-short Gaussian, 2) ultra-short exponential and 3) ultra-short rectangular function at arbitrary position. Rate constants are found to be sensitive to the shape of the sink function, even though the width of the sink is too small. This model is of considerable importance as a realistic model in comparison with the point sink model for understanding the problem of electronic relaxation of a molecule in solution.
