Boids, developed by Craig W. Reynolds in 1986, is one of the earliest emergent models where the global pattern emerges from the interaction between many individuals within the local scale. In the original model, Boids follow three rules: separation, alignment, and cohesion; which allow them to move around and create a flock without intention in the empty environment. In the real world, however, the Boids' movement also faces obstacles preventing the flock's direction. In this project, I propose two new simple rules of the Boids model to represent the more realistic movement in nature and analyze the model from the physics perspective using the Monte Carlo method. From those results, the physics metrics related to the forming of the flocking phenomenon show that it is reasonable to explain why birds or fishes prefer to move in a flock, rather than sole movement.

翻译：Boids模型由Craig W. Reynolds于1986年提出，是最早的涌现模型之一，其全局模式源于局部尺度上多个个体间的相互作用。在原始模型中，Boids遵循三条规则：分离、对齐与内聚；这使得它们能够在空旷环境中无意识地移动并形成集群。然而在现实世界中，Boids的运动还会遇到阻碍集群行进方向的障碍物。本项目提出了Boids模型的两个新简化规则，以表征自然界中更真实的运动行为，并采用蒙特卡洛方法从物理学视角对该模型进行分析。基于所得结果，与集群现象形成相关的物理度量表明，从物理学角度解释鸟类或鱼类偏好集群运动而非单独运动的现象是合理的。