Mechanistic Research of Interaction Behaviors of Intergroup Percolation and Permeation

Percolation and permeation phenomena typically occur in porous media. However, they can also occur in the interactions of natural, biological, and social groups and are one of the key behaviors of group interactions. The study of these phenomena has significant implications for widespread applications, such as intelligent transport, emergency rescue, and social/network clustering in human society. Therefore, this paper examines the occurrence of percolation and permeation phenomena within a multi-agent group, and proposes a model of percolation and permeation interaction. Through analysis and simulation, four typical behavioral phenomena arising from the interaction of factors such as safety radius, attraction and repulsion, velocity, direction, and group scale of different agents inside and outside the group are explored. The results show that individual safety radius and group scale have significant effects on group percolation and permeation, and reveal the relationship between these factors and group porosity and percolation thresholds.