title: Covariant description of phase space distributions
metadata.name: dc.contributor.author
metadata.value: Drivotin, Oleg I.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-11-24T18:53:57Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-11-24T18:53:57Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Drivotin O. I. Covariant description of phase space distributions. Vestnik of Saint Petersburg University. Series 10. Applied mathematics. Computer science. Control processes, 2016, issue 3, pp. 39–52.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu10.2016.304
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/5689
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The concept of phase space for particles moving in the 4-dimensional space time is formulated.
  Definition of particle distribution density as differential form is given. The degree of the
  distribution density form may be different in various cases. The Liouville and the Vlasov
  equations are written in tensor form with use of such tensor operations as the Lie dragging
  and the Lie derivative. The presented approach is valid in both non-relativistic and relativistic
  cases. It should be emphasized that this approach does not include the concepts of phase
  volume and distribution function. The covariant approach allows using arbitrary systems of
  coordinates for description of the particle distribution. In some cases, making use of special
  coordinates grants the possibility to construct analytical solutions. Besides, such an approach
  is convenient for description of degenerate distributions, for example, of the Kapchinsky–
  Vladimirsky distribution, which is well-known in the theory of charged particle beams. It can
  be also applied for description of particle distributions in curved space time. Refs 25.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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 Saint Petersburg University. Series 10. Applied Mathematics. Computer Science. Control Processes;Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: Liouville equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Vlasov equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: phase space
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: phase density
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: particle distribution density
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: self-consistent distribution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: degenerate distribution
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Covariant description of phase space distributions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 04-Drivotin.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/5689/1/04-Drivotin.pdf
resources.format: Adobe PDF
resources.size: 250,75 kB