The derivation of integration-fragmentation equations in the Becker-Döring case

In the present paper the interconnection between the kinetic equations of evolution of particles distinguishing by masses (number of molecules forming them) or by other property was investigated in the Becker-Döring case. From the continuum integration-fragmentation equation we derived a new equation which we call the continuum Becker-Döring equation. From this equation we obtained the Becker-Döring system of equations and the continuum equation of the Fokker-Planck type (or of the Einstein-Kolmogorov type, or of the diffuse approximation). We clarified the form of the obtained equations basing on the physical sense of these conclusions. Due to unity of the kinetic approach the present work may be useful for specialists of various specialties, who studies the evolution of structures with differing properties. © 2019 Published under licence by IOP Publishing Ltd.