Motion in a crowded environment: the influence of obstacles’ size and shape and model of transport

Simulations of motion in a complex crowded environment were performed. We employed the dynamic lattice liquid model, which was based on the cooperative movement concept. This algorithm is capable of working at very high densities, and the motion of all objects was highly correlated. The so-called motion of a single agent, where the motion of molecules is considered as a random walk without any correlation with other moving objects, was also calculated as the state of reference. Immobilized chains embedded in a two-dimensional triangular lattice modeled the crowded environment. The dynamic behavior of movable objects was studied and the influence of the structure of the matrix of obstacles on the molecular transport was discussed. It was shown that the type of transport has an impact on the dynamics of the system. The appearance and properties of subdiffusive motion were analyzed and referred to the structure of polymer systems.