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Two sets of widely used parameters can describe the molecular permeation through a nanochannel.One is permeation rate j and its diffusion Dn,and the other is flow and net flux.We establish a relationship between the two sets for a single-file nenochannel,as well as its dependence on the temperature and pressure difference between the two ends of a single-file channel,based on the Brownian motion theories and verified with molecular dynamics simulations for the water diffusion in a transmembrane (6,6) armchair carbon nanotube.Simulation results are in excellent agreement with our predictions.