Н-Theorem for Continuous- and Discrete-Time Chemical Kinetic Systems and a System of Nucleosynthesis Equations


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Abstract

An H-theorem is proved for generalizations of continuous- and discrete-time chemical kinetic equations. A mathematical model of heavy nuclei formation based on neutron capture in astrophysical conditions is constructed. The model describes both rapid and slow processes with allowance for radiative capture and photodetachment of neutrons and β-decay. An H-theorem for this model is proved.

About the authors

S. Z. Adzhiev

Faculty of Mechanics and Mathematics, Moscow State University

Author for correspondence.
Email: sergeyadzhiev@yandex.ru
Russian Federation, Moscow, 119991

V. V. Vedenyapin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences; RUDN University

Author for correspondence.
Email: vicveden@yahoo.com
Russian Federation, Moscow, 125047; Moscow, 117198

S. S. Filippov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Email: vicveden@yahoo.com
Russian Federation, Moscow, 125047

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