"Nanoscale Physics"

Properties of liquid systems within nano-structure in the vicinity of critical point
Gavryushenko D.A.1, Atamas N.A.1,2, Taranyk G.P.2
1 Taras Shevchenko National University of Kyiv, Acad. Glushkov Ave.6, Kyiv-03034, Ukraine. 
E-mail: dg@univ.kiev.ua
2 International European University, Akad. Glushkov Ave, 42В, Kyiv- 03187, Ukraine 

The influence of a spatial nano-confinement on a thermodynamic behaviour of equilibrium properties of fluid systems has been investigated. The correlation effects generalization of a confined non-uniform fluid theory has been built in the case of a binary solution for nano-structures. 
The obtained results let us to calculate a concentration spatial distribution of a binary fluid system within wide range of thermodynamic parameters variations for nano-systems with different form. A second order differential equations on local density and concentration were obtained on the basis of a solution of isoperimetric problem on minimization of system free energy as a functional of density or and concentration under the condition of the number of particles constancy. Density profiles of a binary solution were calculated along the critical isochor within nano-structure. Obtained results show that in this case density and concentrations become a non-linear function of the coordinate. The density profiles of fluid were calculated within a single-wall carbon nanotube. It was shown the bulk density essentially derivates from the average value.