Modification of the dynamic floor field model by the heterogeneous bosons

• The reason of bosons confusion is the homogeneity of the bosons.
• A modified dynamic floor field model based on the heterogeneous bosons is proposed.
• Transformation mechanism of bosons determines the characteristics of a crowd system.

In the dynamic floor field model, the bosons are homogeneous. This causes a problem that the pedestrians are confused by their own traces. The model has been modified by the heterogeneous bosons. Compared with the dynamic floor field model based on the homogeneous bosons, the modified model exhibits realistic pedestrian behaviors, and the effect of modification on the model parameters is analyzed in subsequent numerical simulations. By sensitivity analysis for the model parameters, it is found that the characteristic of a crowd system, which is represented by the correspondence between the following behavior and the evacuation time, is determined by the decay of the bosons; it is also found that diffusion of the bosons can describe the uncertainty of information transformation which is related to the evacuation time. In addition, an interesting phenomenon implies that for the pedestrians who are unfamiliar with the structure to find the exit, the accurate information from the persons around them is more beneficial than that from the distant ones.