Open AccessThermodynamics of real polymer solutions in the new Rényi and Tsallis formalism
Author(s) -
Н. А. Макаревич
Publication year - 2021
Publication title -
vescì nacyânalʹnaj akadèmìì navuk belarusì. seryâ hìmìčnyh navuk
Language(s) - English
Resource type - Journals
eISSN - 2524-2342
pISSN - 1561-8331
DOI - 10.29235/1561-8331-2021-57-2-162-176
Subject(s) - tsallis entropy , statistical physics , thermodynamics , formalism (music) , entropy (arrow of time) , statistical mechanics , thermodynamic system , fractal , mathematics , chemistry , physics , mathematical analysis , art , musical , visual arts
The generalized non-ideality factor of systems (GNF) was introduced into the Renyi and Tsallis information entropy equations, and new expressions were obtained for information and thermodynamic entropies with a fractional moment of the order entropy gS and thermodynamic gth nonideality factors. Equations in formalism of Renyi and Tsallis: The equations describe self-organized structures of essentially non-equilibrium systems and can be used in studying the topological and conformational properties of solutions of high-molecular compounds. GNF: where is are relative average characteristics (p i are statistical probabilities) of opposite processes. Factor g varies in the range 0 ≤ g ≤ 2 and depends on which of the competitive processes prevails. An algorithm for calculating the thermodynamic functions of the state of the system under study is presented. The equations are intended for calculating the thermodynamic functions of objects of fractal nature, including real solutions of synthetic and natural highmolecular compounds of plant and animal origin (hyper branched structures, dendrimers, lignins, biological systems, dendrites, systems of internal organs, blood vessels, etc.).