Figure 1

Schematic representation of single-file motion through a narrow densely filled channel. Panel (a) shows a carbon nanotube filled with water molecules, as seen in MD simulations [6]. The left part of panel (b) shows the dimensionless free energy profile, $F(z)/k_{B}T=-\ln \rho (z)$, where $\rho (z)$ is the water density along the channel axis found in the MD simulations. Minima are indicated by horizontal arrows. Trajectories of water molecules moving along the nanotube are plotted as a function of time in the right part of panel (b). Vertical arrows at the top indicate water entry and exit events. Panel (c) schematically shows a concerted hopping event, in which particles labeled 0 and 5 enter and leave the channel, respectively.Reuse & Permissions

Figure 2

Passage events of water molecules through the channel in the nanotube MD [6] and a stochastic simulation of the CTRW model. The events are counted irrespective of the translocation direction and averaged with a 1-ns triangular window.Reuse & Permissions

Figure 3

Cumulative probability distribution for the time that translocated particles spent in the channel. The solid and dashed lines correspond to the results from the MD simulations of water transport through the carbon nanotube and from the CTRW model, respectively. The inset shows the corresponding probability density on a logarithmic scale.Reuse & Permissions

Figure 4

Cumulative probability distribution for the lifetime in the channel for returning particles. The inset shows the corresponding probability density. Details as in Fig. 3.Reuse & Permissions

Figure 5

Cumulative probability distribution for the number $n$ of molecules translocated in a single unidirectional pulse. The inset shows the corresponding distribution of $n$.Reuse & Permissions