困境中的布朗运动
Brownian Motion in Dire Straits
摘要：
布朗运动通过有界区域中的瓶颈是一个罕见的事件，这种通道的平均时间无限增加的瓶颈的半径缩小到零。计算结果揭示了几何形状和光滑度对通过瓶颈的流量的影响。我们发现新的行为的窄逃逸时间通过瓶颈在平面和空间域和表面上。一些应用进行了讨论。
英文摘要：
The passage of Brownian motion through a bottleneck in a bounded domain is a rare event and the mean time for such passage increases indefinitely as the bottleneck's radius shrinks to zero. Its calculation reveals the effect of geometry and smoothness on the flux through the bottleneck. We find new behavior of the narrow escape time through bottlenecks in planar and spatial domains and on a surface. Some applications are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
