论文标题
目标各向异性对谐波测量和平均第一学期时间的影响
Effects of target anisotropy on harmonic measure and mean first-passage time
论文作者
论文摘要
在本文中，我们研究了目标各向异性对扩散控制反应的两个特征的影响：谐波测量密度和平均第一通道时间。首先，我们计算岩体上的体积平均谐波测量密度，并在三个维度上限制限制域内的球体靶标。这使我们能够在小目标极限中量化该密度的均匀性。其次，我们将平均第一学期时间的显式表达引入到此类目标上，并分析各向异性的效果。特别是，我们说明了小目标的电容近似的准确性。
In this paper, we investigate the influence of target anisotropy on two characteristics of diffusion-controlled reactions: harmonic measure density and mean first-passage time. First, we compute the volume-averaged harmonic measure density on prolate and oblate spheroidal targets inside a confining domain in three dimensions. This allows us to quantify the uniformity of this density in the small target limit. Second, we derive an explicit expression of the mean first-passage time to such targets and analyze the effect of anisotropy. In particular, we illustrate the accuracy of the capacitance approximation for small targets.
