We report experimental results of the speed–density relation emerging in pedestrian dynamics when individuals keep a prescribed safety distance among them. To this end, we characterize the movement of a group of people roaming inside an enclosure varying different experimental parameters: (i) global density, (ii) prescribed walking speed, and (iii) suggested safety distance. Then, by means of the Voronoi diagram we are able to compute the local density associated to each pedestrian, which is afterward correlated with its corresponding velocity at each time. In this way, we discover a strong dependence of the speed–density relation on the experimental conditions, especially with the (prescribed) free speed. We also observe that when pedestrians walk slowly, the speed–density relation depends on the global macroscopic density of the system, and not only on the local one. Finally, we demonstrate that for the same experiment, each pedestrian follows a distinct behavior, thus giving rise to multiple speed–density curves.

我们报告了当个人之间保持规定的安全距离时行人动态中出现的速度-密度关系的实验结果。为此，我们描述了一群人在围栏内漫游的运动，不同的实验参数：（i）全局密度，（ii）规定的步行速度，以及（iii）建议的安全距离。然后，通过 Voronoi 图，我们能够计算与每个行人相关的局部密度，然后与每个时间的相应速度相关联。通过这种方式，我们发现速度-密度关系对实验条件有很强的依赖性，尤其是在（规定的）自由速度下。我们还观察到，当行人缓慢行走时，速度-密度关系取决于系统的全局宏观密度，不仅在本地。最后，我们证明对于同一个实验，每个行人都遵循不同的行为，从而产生多条速度-密度曲线。