The simulations are performed using the GROMACS simulation package. Temperature of the system is maintained using the CSVR thermostat with a coupling constant of 1 ps. This is a stochastic velocity rescaling thermostat, which has been shown in many studies to accurately capture the correct ensemble, transport properties, and dynamic behavior. In all cases, the fluids and the membrane are coupled separately. For simulations under the N P T ensemble, the pressure is controlled with the C-rescale barostat, with a coupling constant of 1 ps for equilibration. A cutoff distance of 1 nm is employed for both van der Waals and short range electrostatic interactions, while Particle Mesh Ewald summation is applied to account for the long range electrostatic interactions. In the NE-DCVMD simulations, we follow our previous works where the inlet control volume is set to mimic the outlet conditions of typical flue gas from a coal power plant, consisting of 85% N 2 and 15% CO 2 . The inlet pressure is set to 1 bar, while the outlet control volume is set to vacuum, creating a pressure gradient across the membrane. In the E-DCVMD simulations, both control volumes are set to match the flue gas conditions at 1 bar. All simulations are performed at a temperature of 308 K, with separate coupling for the polymer and fluid. The equations of motion are integrated with a time step of 2 fs.