Issues

 / 

2005

 / 

March

  

Methodological notes


Quantum corrections to the equilibrium rate constants of inelastic processes

 a,  b,  b
a National Research Centre ‘Kurchatov Institute’, pl. akad. 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.

Fulltext pdf (240 KB)
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Åëåöêèé À Â, Ñòàðîñòèí À Í, Òàðàí Ì Ä «Êâàíòîâûå ïîïðàâêè ê ðàâíîâåñíûì êîíñòàíòàì ñêîðîñòè íåóïðóãèõ ïðîöåññîâ» ÓÔÍ 175 299–313 (2005); DOI: 10.3367/UFNr.0175.200503d.0299

References (47) Cited by (31) ↓ Similar articles (10)

  1. Filinov V S, Levashov P R, Larkin A S Molecular Physics (2024)
  2. Starostin A N, Kochetov I V et al J. Exp. Theor. Phys. 137 23 (2023)
  3. Eremin A V High Temp 60 S387 (2022)
  4. Bystritsky V M, Chumakov D K et al Int. J. Mod. Phys. E 30 2150045 (2021)
  5. Golubkov A N, Gudarenko L F et al Combust Explos Shock Waves 57 479 (2021)
  6. Filinov V, Larkin A, Fortov V Phys. Rev. C 101 (2) (2020)
  7. Murugesan R, Sirmas N, Radulescu M I Combustion And Flame 205 457 (2019)
  8. Larkin A S, Filinov V S High Temp 57 609 (2019)
  9. Lazarev Yu N Dokl. Phys. 63 180 (2018)
  10. Filinov V, Larkin A Universe 4 133 (2018)
  11. Larkin A S, Filinov V S Contributions To Plasma Physics 58 107 (2018)
  12. Larkin A S, Filinov V S, Fortov V E J. Phys. A: Math. Theor. 51 035002 (2018)
  13. Starostin A N, Gryaznov V K, Petrushevich Yu V J. Exp. Theor. Phys. 125 940 (2017)
  14. Bychkov M E, Petrushevich Yu V, Starostin A N J. Exp. Theor. Phys. 125 1026 (2017)
  15. Larkin A S, Filinov V S JAMP 05 392 (2017)
  16. Ebeling W, Fortov V E, Filinov V Quantum Statistics of Dense Gases and Nonideal Plasmas Springer Series In Plasma Science And Technology Chapter 9 (2017) p. 397
  17. Kochetov I V, Napartovich A P et al High Temp 54 536 (2016)
  18. Vlasov P A, Smirnov V N, Tereza A M Russ. J. Phys. Chem. B 10 456 (2016)
  19. Medvedev S P, Agafonov G L, Khomik S V Acta Astronautica 126 150 (2016)
  20. Larkin A S, Filinov V S, Fortov V E Contrib. Plasma Phys. 56 187 (2016)
  21. Larkin A S, Filinov V S, Fortov V E J. Phys.: Conf. Ser. 774 012146 (2016)
  22. Kosarev I N Tech. Phys. 59 1766 (2014)
  23. Coraddu M, Lissia M et al J. Phys. G: Nucl. Part. Phys. 41 125105 (2014)
  24. Drakon A V, Emelianov A V et al J. Exp. Theor. Phys. 118 831 (2014)
  25. Potekhin A Y, Chabrier G Contrib. Plasma Phys. 53 397 (2013)
  26. Fisch N J, Gladush M G et al Eur. Phys. J. D 66 (6) (2012)
  27. Drakon A V, Emelianov A V et al Phys. Rev. Lett. 109 (18) (2012)
  28. Emelianov A V, Eremin A V et al Jetp Lett. 94 530 (2011)
  29. Medvedev S P, Gelfand B E et al J Eng Phys Thermophy 83 1170 (2010)
  30. Zubarev A L J. Phys. A: Math. Theor. 41 312004 (2008)
  31. Dudkin V A Theor Found Chem Eng 41 264 (2007)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions