Open AccessО распределении по размерам дисперсных частиц фрактальной формы
Author(s) -
В.Б. Федосеев,
А.В. Шишулин
Publication year - 2021
Publication title -
žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-748X
pISSN - 0044-4642
DOI - 10.21883/jtf.2021.01.50270.159-20
Subject(s) - fractal dimension , fractal , volume (thermodynamics) , statistical physics , surface (topology) , particle (ecology) , dimension (graph theory) , mathematics , thermodynamics , physics , mathematical analysis , geometry , pure mathematics , geology , oceanography
In this paper, a dispersed system formed by an ensemble of particles of different volume has been modeled in the framework of a thermodynamical approach. Particle shape has been determined by its fractal dimension which correlates its volume and surface area. Using the methods of number theory and Hardy-Ramanujan-Rademacher formula, we have calculated the equilibrium size distributions for nanoparticles of different shape in an ensemble. Estimates of the average volume and fractal dimension of dispersed particles have been obtained based on distribution functions. The correlation between average geometrical characteristics of particles in the ensemble, thermodynamical conditions of the dispersed system and properties of its substance have also been revealed.