Abstract
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 (pi 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.).
Highlights
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
Calculated fractal dimensions of d clusters of dioxanlignin with a three-dimensional chaotically branched chain structure based on experimental and numerical data [10] as well as non-ideality factors gth and gs in SM–Rn, SM–Ts models
Information about the authorNikolay A. Makarevich − D. Sc. (Chemistry), Professor of the Department of Physics. Military Academy of the Re public of Belarus (220, Nezalezhnosti Ave., 220000, Minsk, Republic of Belarus); Professor of the Higher School of Nat ural Sciences and Technologies, Northern (Arctic) Federal University named after M. V. Lomonosov (17, Severnaya Dvina Emb., 163002, Arkhangelsk, Russia). Е-mail: nikma@ tut.by
Summary
В уравнения информационной энтропии Реньи и Тсаллиса введен обобщенный фактор неидеальности систем g (The generalized non-ideality factor of systems (GNF) и получены новые выражения информационной и термодинамической энтропий с дольным моментом порядка − энтропийным gS и термодинамическим gth факторами неидеальности. Уравнения в формализме Реньи и Тсаллиса: S. g th описывают самоорганизованные структуры существенно неравновесных систем и могут быть использованы при изучении топологических и конформационных свойств растворов высокомолекулярных соединений. Уравнения предназначены для проведения расчетов термодинамических функций объектов фрактальной природы, включая реальные растворы синтетических и природных высокомолекулярных соединений растительного и животного происхождения 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.
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