title: IMPACT OF COLLISIONS ON THE DYNAMICS OF WAVES OF FINITE AMPLITUDE IN A PLASMA
metadata.name: dc.contributor.author
metadata.value: KARIMOV, ALEXANDER R.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: BOGDANOV, VLADISLAV K.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-08-17T20:32:09Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-08-17T20:32:09Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: KARIMOV A. R., BOGDANOV V. K. IMPACT OF COLLISIONS ON THE DYNAMICS OF WAVES OF FINITE AMPLITUDE IN A PLASMA. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2022, vol. 18, iss. 2, pp. 231–238.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: DOI: 10.21638/11701/spbu10.2022.204
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/37408
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of determining wave dynamics, considering the evolution of nonlinear waves of finite amplitude in a weakly collisional, Maxwellian plasma, is the focus of this article. Considering this medium with a certain interaction potential associated with a certain limited core of pairwise interaction, the dynamics of the distribution function was studied using the Vlasov equation. Collisions of electrons with neutral particles are described using the collision integral in the Bhatnagar - Gross- Krook form. Having constructed its particular solution and the equilibrium distribution function in the form of a series, an equation was obtained that makes it possible to determine the potential function. Considering the case of a Maxwellian plasma, an integral potential equation was obtained. Based on it, an equation was constructed that determines the perturbation of the potential relative to the spatially homogeneous one. At the same time, this perturbation appears due to the existence of some spatial-temporal stable structure. Based on this, a dispersion relation was obtained, which makes it possible to estimate the spatial scales of the coherent structure.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was financially supported by the Ministry of Science and Higher Education of the Russian
  Federation (contract N 075-15-2021-1361 dated October 07, 2021), and within the framework of the
  grant “Regulation of structure formation processes in macromolecular compounds under non-equilibrium
  conditions” of the G. V. Plekhanov Russian Economic University (order N 657 of June 07, 2021).
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. Applied Mathematics. Computer Science. Control Processes;Volume 18; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: NONIDEAL PLASMA
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: WEAK COLLISIONS
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: COHERENT STRUCTURES
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: WAVES OF FINITE AMPLITUDE
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: IMPACT OF COLLISIONS ON THE DYNAMICS OF WAVES OF FINITE AMPLITUDE IN A PLASMA
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 231-238.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/37408/1/231-238.pdf
resources.format: Adobe PDF
resources.size: 356,14 kB