Interfacial microstructure of neutral and charged polymer brushes: A density functional theory study

Polymer density functional theory (PDFT) is a computationally efficient and robust statistical mechanics theory for capturing the interfacial microstructure of grafted polymer brushes (PBs). Undoubtedly, the intramolecular and intermolecular interactions in PDFT (e.g., hard-core interactions and direct Coulomb interactions) are greatly affected by the grafting behavior of PBs. However, the combination of these interactions with the physical constraints on grafting behavior remains unclear and there is a remarkable difference in the density profile of grafted PB between PDFT and simulation. Herein, we propose a PDFT to study neutral and charged grafted PBs by incorporating the physical constraints of end-grafted PBs into the excess free energies due to intramolecular and intermolecular interactions. This PDFT has been successfully validated where the density distributions of neutral and weakly charged PBs predicted by the PDFT are in excellent agreement with the results of the Monte Carlo and molecular dynamics simulations. In addition, the significant contribution of grafting behavior to the free energy of PB systems is presented. Consequently, this work provides a powerful and accurate theoretical method to reveal the interfacial microstructure of grafted PBs.