In this paper, we investigate a strong convergence of propagation of chaos for the Linear-Formation particle model. We obtain an explicit bound on the relative entropy between the joint law of the particle system and the tensorized law of the Linear-Formation kinetic model. This result implies the mean-field limit for the Linear-Formation particle system and propagation of chaos via strong convergence of all marginal distributions. The proof is based on the modified law of large numbers for Jabin and Wang’s relative entropy at an exponential or large deviation scale.
Ding et al. (Sun,) studied this question.