不同形状超短阱溶液中电子弛豫理论的精确解析解
Theory of Electronic Relaxation in solution with ultra-short sink of different shapes: An exact analytical solution
摘要：
我们提出了一个非常简单的一维解析可解模型来理解溶液中分子的电子弛豫问题。这个问题是由一个粒子扩散的影响下，抛物型潜在的存在一个超短宽度的汇。扩散运动由Smoluchowski方程描述，汇的形状由任意位置的超短高斯函数、超短指数函数和超短矩形函数表示。速率常数被发现是敏感的形状的水槽功能，即使水槽的宽度太小。这个模型是相当重要的，作为一个现实的模型相比，点汇模型理解的问题，在解决方案中的分子的电子弛豫。
英文摘要：
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.
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