Journal of Statistical Physics

, Volume 171, Issue 2, pp 288–344 | Cite as

Non-equilibrium Quasi-Chemical Nucleation Model

  • Yuriy E. Gorbachev


Quasi-chemical model, which is widely used for nucleation description, is revised on the basis of recent results in studying of non-equilibrium effects in reacting gas mixtures (Kolesnichenko and Gorbachev in Appl Math Model 34:3778–3790, 2010; Shock Waves 23:635–648, 2013; Shock Waves 27:333–374, 2017). Non-equilibrium effects in chemical reactions are caused by the chemical reactions themselves and therefore these contributions should be taken into account in the corresponding expressions for reaction rates. Corrections to quasi-equilibrium reaction rates are of two types: (a) spatially homogeneous (caused by physical–chemical processes) and (b) spatially inhomogeneous (caused by gas expansion/compression processes and proportional to the velocity divergency). Both of these processes play an important role during the nucleation and are included into the proposed model. The method developed for solving the generalized Boltzmann equation for chemically reactive gases is applied for solving the set of equations of the revised quasi-chemical model. It is shown that non-equilibrium processes lead to essential deviation of the quasi-stationary distribution and therefore the nucleation rate from its traditional form.


Kinetic theory Non-equilibrium effects Reaction rates Nucleation rate 


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Authors and Affiliations

  1. 1.Coddan Technologies LLCSt. PetersburgRussia

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