chapter  1
60 Pages

Physical and Mathematical Models for Nanosystems Simulation

WithAlexander V. Vakhrushev

This chapter contains the analysis of physical phenomena and mathematical models describing the processes of the formation of nanoscale systems from nanoparticles at different structural scales using the methods of quantum/ continuum mechanics, molecular dynamics, and mesodynamics. The problems dealing with setting and solving the tasks of nanoelement formation, production of nanosystems from them, calculation of nanoelement and nanosystem properties, prognosticating the change in the structure and properties of nanoelements and nanosystems with time are formulated. The systems of differential equations are given and boundary conditions for the indicated class of tasks are presented.