The research purpose is to prove the probability of a direct quantitative correlation between proportion of the-se clusters and liquid viscosity. A quasi-polycrystalline clustering model of the liquid (in particular, melts) should be used. The Boltzmann distribution, the concepts of the chaotic particles and the virtual cluster size distribution should be applied to achieve this purpose. This study has analyzed the complete reference data on the temperature dependences of the dynamic viscosity for the alkali metals. As a result, a directly proportion-al correlation between viscosity and cluster content in liquid has been determined. It has provided the proba-bility for the quantitative concept of the quasi-polycrystalline clustering model on the liquid state of matter due to its properties. The concept of the chaotic particles in direct correlation to the Boltzmann distribution has been used as a basis. The Boltzmann energy spectrum has been used for the kinetic energy of the chaotic thermal particle motion in the solid, liquid and gaseous states of matter. As a result, their three energy classes have been distinguished with their presence in all aggregate states and in the sum constantly equal to one. Formulas to calculate the proportion of the virtually ordered clustering and complete chaotic fluid compo-nents have been deduced. These formulas have been derived with using the particle distributions by the energy class and cluster sizes.

In the article, the temperature dependence of the viscosity of a complex inorganic substance - potassium carbonate was obtained and the proposed mathematical model was verified. Viscosity is considered as a chaosensitive property of a liquid inherent in it in motion and at rest. The mathematical model of viscosity was developed using the Boltzmann distribution and the concept of chaotic particles. On this basis, a hierarchical cluster-associate viscosity model is constructed, which takes into account not only the formation of primary clusters, but also secondary associates with respect to them, with the possibility of identifying the degree of cluster association. To adapt the cluster-associated model to experimental data, certain data processing techniques have been developed to identify unknown parameters of the model. The method of processing viscosity data using the entire set of three reference points allows you to determine the indicator of the degree of aggregation of associates. When processing the data on the viscosity of potassium carbonate, a high correlation coefficient was established calculated in comparison with reference values, which indicates the adequacy of the new relationship. This model makes it possible to predict the behavior of the viscosity of potassium carbonate in a higher temperature range. The degree of association of clusters with an increase in temperature decreases, corresponding to the dynamics of the destruction of associates and viscosity in general.