Statistical characteristics of evacuation without visibility in random walk model
Statistical characteristics of evacuation without visibility in random walk model
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DOI：
10.1016/j.physa.2004.04.124
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发表时间：
2004-10
影响因子：
3.3
通讯作者：
T. Nagatani;Ryoichi Nagai
中科院分区：
文献类型：
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作者：
T. Nagatani;Ryoichi Nagai
利用有偏随机游走模型研究了带出口暗室内人员的疏散过程。我们阐明了步行者通过出口逃离房间的统计特性。从无可见性房间疏散包括两个过程：（1）从初始位置到墙壁的有偏随机行走和（2）沿着墙壁的第二次行走。通过大量的模拟轨迹，得到了以下统计量：（1）有偏随机游走的步数，（2）第一次接触壁面的点，（3）第二次接触壁面的步数的概率密度分布。第三统计分布与第一和第二分布紧密相连。它们的分布高度依赖于步行者的场景。我们展示了初始位置、漂移和场景对平均逃逸时间的影响。
The evacuation process from a dark room with an exit is investigated by the use of the biased random walk model. We clarify the statistical properties of the walker escaping from the room through the exit. The evacuation from the room without visibility consists of two processes: (1) the biased random walk from an initial position to the wall and (2) the second walk following the wall. The following statistical quantities are derived by using a lot of simulating trajectories: the probability density distributions of (1) the number of steps of the biased random walk to the wall, (2) the first contact point on the wall, and (3) the number of steps of the second walk on the wall. The third statistical distribution is connected closely with the first and second distributions. Their distributions depend highly on the scenarios of the walker. We show the effects of the initial position, drift, and scenario on the mean escape time.