Published September 2013
| Version v1
Journal article
On the singularity of the Vlasov-Poisson system
Creators
- 1. CAS Key Laboratory of Basic Plasma Physics and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026 (China)
- 2. Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08550 (United States)
Description
The Vlasov-Poisson system can be viewed as the collisionless limit of the corresponding Fokker-Planck-Poisson system. It is reasonable to expect that the result of Landau damping can also be obtained from the Fokker-Planck-Poisson system when the collision frequency ν approaches zero. However, we show that the collisionless Vlasov-Poisson system is a singular limit of the collisional Fokker-Planck-Poisson system, and Landau's result can be recovered only as the ν approaches zero from the positive side
Additional details
Identifiers
- DOI
- 10.1063/1.4821831;
Publishing Information
- Journal Title
- Physics of Plasmas
- Journal Volume
- 20
- Journal Issue
- 9
- Journal Page Range
- p. 092114-092114.5
- ISSN
- 1070-664X
- CODEN
- PHPAEN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45041536
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOLTZMANN-VLASOV EQUATION; COLLISIONS; FOKKER-PLANCK EQUATION; LANDAU DAMPING; PLASMA; POISSON EQUATION; SINGULARITY; THERMODYNAMICS
- Descriptors DEC
- DAMPING; DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Notes
- (c) 2013 AIP Publishing LLC