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

Author

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  • Adzhiev, S.Z.
  • Melikhov, I.V.
  • Vedenyapin, V.V.

Abstract

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.

Suggested Citation

  • Adzhiev, S.Z. & Melikhov, I.V. & Vedenyapin, V.V., 2020. "On the H-theorem for the Becker–Döring system of equations for the cases of continuum approximation and discrete time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    • Handle: RePEc:eee:phsmap:v:553:y:2020:i:c:s0378437120302958
    DOI: 10.1016/j.physa.2020.124608
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    References listed on IDEAS

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    1. Adzhiev, S.Z. & Melikhov, I.V. & Vedenyapin, V.V., 2017. "The H-theorem for the physico-chemical kinetic equations with discrete time and for their generalizations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 480(C), pages 39-50.
    2. Adzhiev, S.Z. & Melikhov, I.V. & Vedenyapin, V.V., 2017. "The H-theorem for the physico-chemical kinetic equations with explicit time discretization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 60-69.
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