Badalyan A. The formation and regimes of nanoparticle within the statistical theory

The thesis is devoted to the development of optimal theoretical models that allow describing the behavior of nanoparticles at a microscopic level, taking into account the properties of nonadditivity and the collective behavior of ensembles of nanoparticles in the process of self-organization. Several systems of differential equations are presented that allow one to describe independently the process of self-organization of ensembles of nanoparticles. The stationary values of the basic parameters, determined by solutions of systems of differential equations, are found. The dynamics of the self-organization of nanoparticles was also studied; the stochastic picture of self-organization by means of fluctuations of the basic parameters of the system is studied; a statistical picture of the transition between different regimes of motion of nanoparticles is constructed; in the framework of a microscopic approach, the properties of the main parameters of nanosystems were investigated; the phenomenological model of the transition between the paramagnetic and magnetically ordered states of a nanocluster system is analyzed by the mechanism of the first-order phase transition, taking into account the intercluster interaction and the action of external pressure; the temperature dependence of the stationary value of the relative magnetization and the critical value of the pressure at which the transition is possible are found.