First-contact time to a patch in a multidimensional potential well.
First-contact time to a patch in a multidimensional potential well.
复制标题
多维势阱中补片的首次接触时间。
DOI：
10.1103/physreve.76.021911
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Carlsson,AE
中科院分区：
文献类型：
--
作者：
Yang,Le;Sept,David;Carlsson,AE
扩散粒子从势阱中逃逸是化学、物理和生物学中许多动态过程的一个重要方面，这种逃逸过程通常涉及在多维势阱中找到一个受限区域或斑块。我们通过模拟和分析理论研究了这一过程的理想模型。通过结合具有高对称性或零势的特殊情况的结果，我们得到了粒子在任意维数上移动到边界斑块的首次接触时间的简单公式。我们在二维，三维和六维中应用这个公式。将预测的首次接触时间与井深和斑块大小的相关性与模拟结果进行了比较，发现两者非常吻合。我们将该理论推广到计算两个粒子在不同的谐波势阱中的首次接触时间。作为该扩展理论的应用，我们计算了两个平行的半柔性生物聚合物细丝的首次接触时间，并将这些结果与先前的模拟结果进行了比较。
The escape of a diffusing particle from a potential well is an important aspect of many dynamic processes in chemistry, physics, and biology, and such an escape process often involves finding a restricted region or patch in a multidimensional potential well. We study an idealized model of this process via simulation and analytic theory. By combining results from special cases having either high symmetry or zero potential, we obtain a simple formula for the first-contact time for a particle moving to a boundary patch in an arbitrary number of dimensions. We apply this formula in two, three, and six dimensions. The predicted dependences of the first-contact time on the well depth and patch size are compared to results from simulations, and close agreement is found. We extend the theory to calculate the first-contact time between two particles in separate harmonic potential wells. As an application of this extended theory, we calculate the first-contact time for two parallel semiflexible biopolymer filaments and compare these results to previous simulations.