Modeling of Systems of Charged Particles Near the Charged Surfaces in the Framework of Self-consistent field the Theory

The main purpose of this work is to analyze the theory of self-consistent fields and their applications to study the properties of ionic liquids. The self-consistent field equation was applied to the theory of a flat double electric layer for an ionic liquid at the boundary with a metal electrode. The paper presents mathematical methods for solving a system of equations for the potentials of specific interactions, as well as self-consistent field equations. The profiles of the concentrations of cations and anions of the ionic liquid at fixed values of surface potentials are demonstrated. Two qualitatively different cases are considered for values greater and smaller than zero. Such software tools as Python and Matlab were used to solve the equations numerically and obtain the results. This work consists of a table of contents, introduction, the main part containing 5 chapters and a list of references. The total amount of work is 54 pages.