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Issue 9, 2026
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Methodological notes


Quantum corrections to the equilibrium rate constants of inelastic processes

 a,  b,  b
a National Research Centre ‘Kurchatov Institute’, pl. Akademika Kurchatova 1, Moscow, 123182, Russian Federation
b State Scientific Center of the Russian Federation ‘Troitsk Institute for Innovation and Fusion Research’, Troitsk, Moscow Region, Russian Federation

The quantum corrections which the equilibrium rate constants of inelastic processes acquire due to particle momenta deviating from the Maxwell distribution at high gas pressures and relatively low temperatures are considered. This deviation can be interpreted as a manifestation of the time-energy uncertainty relation for particles colliding elastically at a high rate, with the characteristic energy ~ħν (where ν is the collision frequency) put into correspondence with the temperature. Taking account of this deviation changes the temperature dependences of the rate constants of adiabatic and exothermal processes, as illustrated by the examples of vibrationally relaxing diatomic molecules and nuclear fusion and chemical processes. The experimental anomalies in the temperature dependences of the corresponding rate constants are accounted for adequately by introducing the non-Maxwellian corrections.

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Fulltext is also available at DOI: 10.1070/PU2005v048n03ABEH002039
PACS: 05.30.−d, 25.60.Pj, 82.20.−w, 82.20.Db (all)
DOI: 10.1070/PU2005v048n03ABEH002039
URL: https://ufn.ru/en/articles/2005/3/e/
000230494900004
2005PhyU...48..281E
Citation: Eletskii A V, Starostin A N, Taran M D "Quantum corrections to the equilibrium rate constants of inelastic processes" Phys. Usp. 48 281–294 (2005)
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Оригинал: Елецкий А В, Старостин А Н, Таран М Д «Квантовые поправки к равновесным константам скорости неупругих процессов» УФН 175 299–313 (2005); DOI: 10.3367/UFNr.0175.200503d.0299

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