Swarm collective behaviour driven by artificial physics

What kind of interaction and collaborative law among social creatures gives rise to swarm intelligence behaviour? Humans have cognitive limitation and therefore lack understanding of the essence of swarm intelligence. This leads to the emergence of the internal mechanism of swarm intelligence behaviour. In this paper, an artificial physics method to construct the swarm model is introduced. In the model, each individual is regarded as a physical particle. There exists virtual force among individuals, and each individual repels other individuals that are closer than R, while attracting individuals that are farther than R in distance. The law of force between any two individuals is defined and the potential field existence of the model is proved. The influence of the different values of the parameter p to swarm collective behaviour is analysed by drawing the force law curve. The simulation examples illustrate the effectiveness of the swarm model.