Collisionless diffusion of particles and current across a magnetic field in beam/plasma interaction

G. Manfredi, M. Shoucri, I. Shkarofsky, Alain Ghizzo, Pierre Bertrand, Eric Fijalkov, March Feix, Seppo Karttunen, Timo Pättikangas, Rainer Salomaa

Research output: Contribution to journalArticleScientificpeer-review

Abstract

A drift-kinetic Eulerian Vlasov code with fluid equations for the ions is used to study the collisionless diffusion of particles and current across a magnetic field for the case of an electron beam injected near the edge of a two-dimensional magnetized plasma slab. The case of a magnetic field tilted with respect to the beam direction at an angle of theta = 10 deg is considered. Test particles diagnostic techniques are used to study the evolution of the phase space at different locations across the plasma slab. We analyze the anomalous diffusion process triggered by the beam-plasma instability and induced in space across the magnetic field by the Kelvin-Helmholtz instability and the velocity space diffusion induced along the magnetic field due to the kinetic effects of the beam-plasma instability. In the present slab geometry it is found that the collisionless diffusion coefficients D-y and D-upsilon 1, describing respectively the anomalous diffusion in physical space and in velocity space, are related by the relation D-y= D-upsilon 1 tan(2) theta/omega(ce)(2). This relation, which links the electron dynamics in the x-y real space and in the y-upsilon(1) phase space, is verified accurately using the test particles diagnostic techniques. The Vlasov code associated with test particles techniques provides a powerful tool to study particle diffusion in space and in phase space, especially in the low-density regions of the distribution function.
Original languageEnglish
Pages (from-to)244-260
Number of pages17
JournalFusion Technology
Volume29
Issue number2
DOIs
Publication statusPublished - 1996
MoE publication typeA1 Journal article-refereed

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plasma interactions
Beam plasma interactions
Magnetic fields
magnetic fields
Plasma stability
plasma slabs
magnetohydrodynamic stability
Plasmas
Kinetics
Distribution functions
Electron beams
particle diffusion
Kelvin-Helmholtz instability
kinetics
Ions
Fluids
Geometry
Electrons
slabs
diffusion coefficient

Cite this

Manfredi, G., Shoucri, M., Shkarofsky, I., Ghizzo, A., Bertrand, P., Fijalkov, E., ... Salomaa, R. (1996). Collisionless diffusion of particles and current across a magnetic field in beam/plasma interaction. Fusion Technology, 29(2), 244-260. https://doi.org/10.13182/FST96-A30711
Manfredi, G. ; Shoucri, M. ; Shkarofsky, I. ; Ghizzo, Alain ; Bertrand, Pierre ; Fijalkov, Eric ; Feix, March ; Karttunen, Seppo ; Pättikangas, Timo ; Salomaa, Rainer. / Collisionless diffusion of particles and current across a magnetic field in beam/plasma interaction. In: Fusion Technology. 1996 ; Vol. 29, No. 2. pp. 244-260.
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abstract = "A drift-kinetic Eulerian Vlasov code with fluid equations for the ions is used to study the collisionless diffusion of particles and current across a magnetic field for the case of an electron beam injected near the edge of a two-dimensional magnetized plasma slab. The case of a magnetic field tilted with respect to the beam direction at an angle of theta = 10 deg is considered. Test particles diagnostic techniques are used to study the evolution of the phase space at different locations across the plasma slab. We analyze the anomalous diffusion process triggered by the beam-plasma instability and induced in space across the magnetic field by the Kelvin-Helmholtz instability and the velocity space diffusion induced along the magnetic field due to the kinetic effects of the beam-plasma instability. In the present slab geometry it is found that the collisionless diffusion coefficients D-y and D-upsilon 1, describing respectively the anomalous diffusion in physical space and in velocity space, are related by the relation D-y= D-upsilon 1 tan(2) theta/omega(ce)(2). This relation, which links the electron dynamics in the x-y real space and in the y-upsilon(1) phase space, is verified accurately using the test particles diagnostic techniques. The Vlasov code associated with test particles techniques provides a powerful tool to study particle diffusion in space and in phase space, especially in the low-density regions of the distribution function.",
author = "G. Manfredi and M. Shoucri and I. Shkarofsky and Alain Ghizzo and Pierre Bertrand and Eric Fijalkov and March Feix and Seppo Karttunen and Timo P{\"a}ttikangas and Rainer Salomaa",
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Manfredi, G, Shoucri, M, Shkarofsky, I, Ghizzo, A, Bertrand, P, Fijalkov, E, Feix, M, Karttunen, S, Pättikangas, T & Salomaa, R 1996, 'Collisionless diffusion of particles and current across a magnetic field in beam/plasma interaction', Fusion Technology, vol. 29, no. 2, pp. 244-260. https://doi.org/10.13182/FST96-A30711

Collisionless diffusion of particles and current across a magnetic field in beam/plasma interaction. / Manfredi, G.; Shoucri, M.; Shkarofsky, I.; Ghizzo, Alain; Bertrand, Pierre; Fijalkov, Eric; Feix, March; Karttunen, Seppo; Pättikangas, Timo; Salomaa, Rainer.

In: Fusion Technology, Vol. 29, No. 2, 1996, p. 244-260.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Collisionless diffusion of particles and current across a magnetic field in beam/plasma interaction

AU - Manfredi, G.

AU - Shoucri, M.

AU - Shkarofsky, I.

AU - Ghizzo, Alain

AU - Bertrand, Pierre

AU - Fijalkov, Eric

AU - Feix, March

AU - Karttunen, Seppo

AU - Pättikangas, Timo

AU - Salomaa, Rainer

PY - 1996

Y1 - 1996

N2 - A drift-kinetic Eulerian Vlasov code with fluid equations for the ions is used to study the collisionless diffusion of particles and current across a magnetic field for the case of an electron beam injected near the edge of a two-dimensional magnetized plasma slab. The case of a magnetic field tilted with respect to the beam direction at an angle of theta = 10 deg is considered. Test particles diagnostic techniques are used to study the evolution of the phase space at different locations across the plasma slab. We analyze the anomalous diffusion process triggered by the beam-plasma instability and induced in space across the magnetic field by the Kelvin-Helmholtz instability and the velocity space diffusion induced along the magnetic field due to the kinetic effects of the beam-plasma instability. In the present slab geometry it is found that the collisionless diffusion coefficients D-y and D-upsilon 1, describing respectively the anomalous diffusion in physical space and in velocity space, are related by the relation D-y= D-upsilon 1 tan(2) theta/omega(ce)(2). This relation, which links the electron dynamics in the x-y real space and in the y-upsilon(1) phase space, is verified accurately using the test particles diagnostic techniques. The Vlasov code associated with test particles techniques provides a powerful tool to study particle diffusion in space and in phase space, especially in the low-density regions of the distribution function.

AB - A drift-kinetic Eulerian Vlasov code with fluid equations for the ions is used to study the collisionless diffusion of particles and current across a magnetic field for the case of an electron beam injected near the edge of a two-dimensional magnetized plasma slab. The case of a magnetic field tilted with respect to the beam direction at an angle of theta = 10 deg is considered. Test particles diagnostic techniques are used to study the evolution of the phase space at different locations across the plasma slab. We analyze the anomalous diffusion process triggered by the beam-plasma instability and induced in space across the magnetic field by the Kelvin-Helmholtz instability and the velocity space diffusion induced along the magnetic field due to the kinetic effects of the beam-plasma instability. In the present slab geometry it is found that the collisionless diffusion coefficients D-y and D-upsilon 1, describing respectively the anomalous diffusion in physical space and in velocity space, are related by the relation D-y= D-upsilon 1 tan(2) theta/omega(ce)(2). This relation, which links the electron dynamics in the x-y real space and in the y-upsilon(1) phase space, is verified accurately using the test particles diagnostic techniques. The Vlasov code associated with test particles techniques provides a powerful tool to study particle diffusion in space and in phase space, especially in the low-density regions of the distribution function.

U2 - 10.13182/FST96-A30711

DO - 10.13182/FST96-A30711

M3 - Article

VL - 29

SP - 244

EP - 260

JO - Fusion Science and Technology

JF - Fusion Science and Technology

SN - 1536-1055

IS - 2

ER -