In this paper, we investigate the static and dynamic properties of linear polymer in the presence of obstacles. A Monte Carlo (MC) simulation method in two dimensions with a bond fluctuation model (BFM) was used to achieve this goal. To overcome the entropic barrier, we put the middle monomer of the polymer in the middle of the pore, which is placed between ordered and disordered obstacles. We probed the static properties of the polymer by calculating the mean square of the radius of gyration and the mean square end-to-end distance of the polymer, and we found that the scaling exponents of both the mean square end-to-end distance R 2 and the mean square radius of gyration R g 2 as a function of the polymer length N vary with the area fraction of crowding agents, ϕ . The dynamic properties have also been studied by exploring the translocation of the polymer. Our current research shows that the escape time τ increases as ϕ increases. Moreover, in the power-law relation of escape time τ as a function of polymer length N , the scaling exponent ( α ) changes with ϕ . Furthermore, the study has shown that the translocation of the polymer favors the disordered barriers.

In this paper, we use a Monte Carlo (MC) simulation method in two dimensions with a bond fluctuation model (BFM) to investigate the translocation of a ring polymer through a nanopore in a crowded environment . We put the two middle monomers in the center of the pore, to con- quer the entropic obstruction caused by the presence of an mpenetrable membrane wall. In our system, a fixed size and same density of crowding agents (φ ) are populated orderly on the left (cis) side and randomly on the right (trans) side of the wall. As the translocation of macromolecules is an important process to study the properties of polymers, we explored the static property of the polymer which is characterized by a radius of gyration and the dynamic properties, characterized by mean square displacement and escape time. We found that the scaling exponents of the average square of radius of gyration as a function of size of the polymer N varies with density of the obstacle beads, φ . Our current investigation appears that the universal power-law relation of escape time τ as a function of polymer size (τ ∼ N 2.50 ) is influenced by the density of the crowding agents. Furthermore, our research shows that the size of the polymer, the size of the pore, and the density of the obstacles all have a significant impact on polymer diffusion.