The Concept of Randomized Particles as the Basis of Cluster and Associate Theory Viscosity and Flow

Using thermal barriers at the melting point?Hm and RTm,it is shown that the latter directly reflects the chaotic process,since it is equal to the kinetic energy reserve of chaotic(thermal)particle motions,and the first additionally takes into account the energy expenditure for overcoming the potential energy of the interconnection of particles,which is typical for inorganic compounds.Therefore,to determine the share of crystal-mobile particles responsible for the viscosity of the melt,the chaotization barrier of RTm should be used,since in the virtual clusters the potential binding energy is conserved,thereby compensating for the heat expense of breaking these bonds upon melting.Therefore,to analyze the share of crystal-mobile particles,it is necessary to use the formula of their share in the form:Pcrm=1-exp(-tm/t).On the basis of the distribution of clusters previously found by the authors in terms of the number of crystal-mobile particles included in them,it was shown that all non-single crystal-mobile particles are responsible for the viscosity,and for flowability all single particles,including crystal-mobile,liquid-mobile and vapor-mobile.This ensures the superiority of the share of single particles over the share of crystal-mobile particles arranged in non-single clusters at the melting point,and thereby the fluidity of the melt.Based on the share distribution of clusters in terms of the number of particles entering into them,the share of non-single clusters responsible for the viscosity of the melt is expressed as:Pct=p2crm=[1-exp(-Tm/T)2].The probabilistic meaning of the formation of clusters from non-single crystal-mobile particles is extended to the formation of associates,which made it possible to disclose the meaning of the second level of the exponential dependence of viscosity in the cluster and associate model:η=η1(T1/T)a2(T2/T)b,where the first level is responsible for the formation of clusters,and the second—for associates.This form corresponds to the physical hierarchy when combining crystal-mobile particles.The previously proposed method for processing viscosity data for the cluster and associate model assumed the use of three reference points from the available experimental array of values of viscosity at different temperatures.This method is supplemented by using the entire set of data on the viscosity with the preservation of two reference points and processing the rest to determine the exponent b,which has the meaning of aggregation degree of associates,from the linearized dependence:ln in(η/η1)in(T1/T2)/IN(T1/T)in(η/η1)=bin(T1/T).The new method was tested on reference data and showed its high statistical adequacy.