title: The stochastic model of turbulence: Simplification of the diagram technique in high dimensions
metadata.name: dc.contributor.author
metadata.value: Kirienko, Yury V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kim, Tatyana L.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-10-05T08:58:12Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-10-05T08:58:12Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-06
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu04.2016.202
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/3932
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A stochastic model of turbulence is studied by the renormalization group approach in high dimensions
  d→ ∞. This asymptotic problem is of interest in connection with the fact that there are
  reasons to believe that in this limit the anomalous scaling vanish and Kolmogorov theory become
  fair. The paper shows the possibility of significant reduction in the number of Feynman diagrams
  in the calculation of β-function in this limit. It is shown that in addition to the previously known
  mechanism of simplification of calculations associated with the insignificance of diagrams that
  contain scalar products of different wave vectors as multipliers in the limit of d → ∞, there is
  a more complex mechanism, caused by the mutual reduction of certain groups of diagrams after
  renormalization. With these simplifications, only 9 of 4080 diagrams are significant in the thirdorder
  perturbation theory. This opens up additional opportunities for the calculations in the high
  orders of the perturbation theory. Refs 11.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при поддержке исследовательского гранта СПбГУ 11.38.185.2014.
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 4. Physics. Chemistry;Vol. 3 (61); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: statistical theory of turbulence
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Feynman diagrams
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: renormalization group
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The stochastic model of turbulence: Simplification of the diagram technique in high dimensions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Kirienko.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/3932/1/Kirienko.pdf
resources.format: Adobe PDF
resources.size: 338,92 kB