title: Inverse Laplace transformation for evaluation of state-specific cross sections for dissociation reaction and vibrational energy transitions
metadata.name: dc.contributor.author
metadata.value: Baykov, Bogdan S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Bayalina, Darina K.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kustova, Elena V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-01-05T18:15:29Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-01-05T18:15:29Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Baykov B. S., Bayalina D.K., Kustova E.V. Inverse Laplace transformation for evaluation of state-specific cross sections for dissociation reaction and vibrational energy transitions. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 4, pp. 663–674.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2016.416
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/5907
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the present work we study the cross sections of VV (vibration-vibration) and VT (vibration-translation)
  energy exchanges in nitrogen and oxygen as well as the vibrational state-specific cross sections of
  dissociation reaction in N2 molecules. For VV- and VT-transitions the original approximations of the
  rate coefficients have been modified to make it possible application of the inverse Laplace transformation
  in the analytical form. A satisfactory approximation of the state-to-state dissociation rate coefficient
  allowing for the application of the inverse Laplace transformation is also proposed. For all considered
  reactions, analytical expressions for the cross sections are obtained. The results are analyzed in the wide
  range of energies and vibrational levels. It is shown that cross sections of VV transitions increase almost
  linearly with the energy of colliding particles. VT-exchanges and dissociation reaction manifest threshold
  behaviour, and their cross sections are non-monotonic. Dissociation threshold is considerably shifted
  towards low energy region for high vibrational states. Using the hard sphere model for the dissociation
  cross section results in significant inaccuracy. The results of our work can be applied in non-equilibrium
  fluid dynamics while simulating rarefied gas flows using the direct Monte-Carlo methods. Refs 23. Figs 4.
  Tables 2.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при поддержке СПбГУ (тема НИР 6.37.206.2016) и РФФИ (грант 15-08-03371).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: non-equilibrium vibrational-chemical kinetics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: reaction cross sections
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: state-to-state dissociation rate coefficient
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: rate coefficients of VV- and VT-exchanges
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Inverse Laplace transformation for evaluation of state-specific cross sections for dissociation reaction and vibrational energy transitions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 16-Baykov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/5907/1/16-Baykov.pdf
resources.format: Adobe PDF
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