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Thermodynamic function analogue for reactions proceeding without interaction of various substances
Gorban A. N., Bykov V. I., Yablonskii G. S.
ChemicaI Engineering Science, Vol. 41, No. 11. P. 2739–2745.
Русское название: Аналог термодинамических функций для реакций без взаимодействия различных веществ
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Abstract
Function similar to Lyapunov's function has been constructed for reactions
with
αi Ai
→ ∑j
αj Aj
stages. This provides for the quasi-thermodynamics of the appropriate kinetic model, which implies steady-state uniqueness and global stability in the reaction polyhedron. The kinetic law generalizing the Marcelin -de Donder kinetics has been written for a separate stage. Explicit Lyapunov thermodynamic functions have been written for various conditions of the reaction proceeding in closed systems. The matrix of linear approximation close to equilibrium is expressed by means of the introduced scalar product. Particularly, the absence of damped oscillations as equilibrium is approached as shown.
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