On the H-theorem for the Becker–Döring system of equations for the cases of continuum approximation and discrete time

In the present paper we make the transition from the Becker–Döring system of equations to the hybrid (discrete and continuum) description. This new type of system of equations consists of the equation of the Fokker–Planck–Einstein–Kolmogorov type added by the Becker–Döring equations. We consider the H-theorem for it. We also consider the H-theorem for the Becker–Döring system of equations with discrete time and showed that it is true for some partially implicit discretization in time. Due to generality of the kinetic approach the present work can be useful for specialists in different spheres engaged in modeling the evolution of structures differing by properties. © 2020 Elsevier B.V.