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Abstract

A one‐dimensional random walk model has been used to describe the single‐file transport of water molecules through the interior channel of a carbon nanotube. Here, we derive expressions for the translocation and return probabilities of a molecule that has entered the channel; the distribution of the number of molecules traversing the tube in a unidirectional conduction pulse; the average time spent in the tube by molecules that either translocate through the tube or exit at the entry site; the average duration of unidirectional conduction bursts; and the average reversal time between oppositely directed conduction pulses.