Ймовірністні методи опису рівноважного термодинамічного стану двохкомпонентних взаємодіючих сумішей

• Date: 2018
• Author Affiliations: Тарас Голубець — Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
• Keywords: keywords
• Main Author: Голубець, Тарас
• Format: Article
• Language: Ukrainian
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2018
• Subjects: статистична термодинаміка; ентропія; рівновага газових систем; газова суміш; обсяг інформації; розподіл ймовірностей; щільність розподілу; неперервна величина
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/55
• Journal Title: Physico-mathematical modeling and informational technologies

By the quasi-static approach according to equality of chemical potentials increments for thecomponents of a mixture of dry air and water vapor in accordance with conditions of phaseequilibrium the dimensionless one-particle specific entropy of steam mixture has been defined.The single-particle density distribution functions for the components of a mixture with influence ofthe temperature effect have been determined. The expressions for the probability of observing themolar fraction of components of the mixture has been written from which the probability densityfunction of investigated quantity has been obtained in the case of not interacting and interactingmixture components. The interaction between the different kinds of the mixture particles has beendescribed by probabilistic methods using two-particle distribution functions. The main methods ofconstruction and calculation of symmetrized or equilibrium two particle distribution functionshave been considered. According to the principle of informational entropy maximum andmathematical methods of functional integration the expressions to determine of the statisticalpartition function and the equilibrium entropy for an interacting binary non ideal vapor-airmixture have been written.