Entropy analysis in interacting diffusion systems on complex networks

Interacting diffusion systems induced by finite-capacity effect is a typical diffusion model on networks. Its complexity influenced by structure and function has hardly been studied. Aimed at filling this gap, we introduce entropy to quantify such interacting process, and exhibit its strong dependence on topology and routing capacity. The analytical expressions are derived and convinced by simulations. Also, Maximum entropy principle provides an effective measure to design an optimal diffusion process. This will play a crucial role for inference problems emerging in the field of interacting dynamics on complex networks.