Mechanism of ion permeation through an anion-doped carbon nanotube (ANT), a model of ion channel, is investigated. Using this model system, many trajectory calculations are performed to obtain the potential energy profile, in addition to the free energy profile, that enables to separate the energy and the entropic contributions, along the ion permeation. It is found that the mechanism of the transport is governed by the interplay between the energetic and the entropic forces. The rate of the ion permeation can be controlled by changing the balance between these contributions with altering, for example, the charge and/or the length of ANT, which increases the rate of the ion permeation by nearly two orders of magnitude. The dominant free energy barrier at the entrance of ANT is found to be caused by the entropy bottleneck due to the narrow phase space for the exchange of a water molecule and an incoming ion.

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