Vasilev A. Correlation properties of multicomponent liquids

Dissertation is devoted to creating of a theory for spatial correlations in multicomponent liquids with short-range intermolecular interactions. We consider bulk multicomponent liquids and finite-size multicomponent systems with geometry of plane-parallel layer and infinite cylinder. For these systems we calculate asymptotic expressions for pair correlation functions and their nonsingular approximations. Here we also propose special method for finding fundamental pair correlation functions of multicomponent liquid which describe totally correlative behavior of the system. To take into account nonzero index of anomalous spatial dimensionality original approximation for correlation functions is proposed. Correlation functions that was calculated within this approximations satisfies scaling theory and have correct asymptotes at close vicinity of critical state. Statistical correlators for mesomorthic systems with inclusions are calculated. For finite-size systems we also estimate shifts of critical parameters due to the space limitations and interaction with restricting surfaces. Within approximation of weak non-uniformity we calculate profiles of densities for multicomponent liquids with geometry of plane layer and infinite cylinder under the influence of external field. We consider particular cases of gravitational field and wall-interaction field. Besides mentioned problems in this dissertation some additional tasks are solved. Among them are calculation of pair correlation functions and critical parameters shifts for anisotropic binary liquid, investigation of pair correlations in low-dimensional layered system, finding pair correlation functions for multicomponent liquid system in porous medium, director distribution in liquid crystal with macro-inclusions, investigation of pair correlations and critical temperature shift in liquid system with geometry of coaxial cylinders, influence of hydrophobic plate on correlative behavior of liquid.