Calculation of the Density Profile of Liquid Located in the Multi-Walled Carbon Nanotube

The density profile of liquid located in a multi-walled carbon nanotube was calculated using the solution to the isoperimetrical problem of the minimization of a free energy of the system in the limited volume for the constant number of particles. It was shown that far from the critical point a substantial change in the density occurs only in the near-wall layer, whereas near the critical point a significant change of density takes place in the entire volume of the liquid.