## Abstract

A solution is presented for electron plasma oscillation in a thermalized homogeneous plasma, at arbitrary ratios between the Debye length {lambda}{sub D} and the perturbation wave length {lambda}. The limit {lambda}{sub D} << {lambda} corresponds to conventional fluid-like theory of small particle excursions, whereas {lambda}{sub D} >> {lambda} corresponds to the free-streaming limit of strong kinetic phase-mixing due to large particle excursions. A strong large Debye distance (LDD) effect already appears when {lambda}{sub D} > approx {lambda}. The initial amplitude of the fluid-like contribution to the macroscopic density perturbation then becomes small as compared to the contribution from the free-streaming part. As a consequence, only a small fraction of the density perturbation remains after a limited number of kinetic damping times of the free-streaming part. The analysis further shows that a representation in terms of normal model of the form exp(-i{omega}t) leads to amplitude factors of these modes which are related to each other and which depend on the combined free-streaming and fluid behaviour of the plasma. Consequently, these modes are coupled and cannot be treated as being independent of each other. (au).

## Citation Formats

Lehnert, B.
Electron plasma oscillations at arbitrary Debye lengths.
Sweden: N. p.,
1990.
Web.

Lehnert, B.
Electron plasma oscillations at arbitrary Debye lengths.
Sweden.

Lehnert, B.
1990.
"Electron plasma oscillations at arbitrary Debye lengths."
Sweden.

@misc{etde_10111741,

title = {Electron plasma oscillations at arbitrary Debye lengths}

author = {Lehnert, B}

abstractNote = {A solution is presented for electron plasma oscillation in a thermalized homogeneous plasma, at arbitrary ratios between the Debye length {lambda}{sub D} and the perturbation wave length {lambda}. The limit {lambda}{sub D} << {lambda} corresponds to conventional fluid-like theory of small particle excursions, whereas {lambda}{sub D} >> {lambda} corresponds to the free-streaming limit of strong kinetic phase-mixing due to large particle excursions. A strong large Debye distance (LDD) effect already appears when {lambda}{sub D} > approx {lambda}. The initial amplitude of the fluid-like contribution to the macroscopic density perturbation then becomes small as compared to the contribution from the free-streaming part. As a consequence, only a small fraction of the density perturbation remains after a limited number of kinetic damping times of the free-streaming part. The analysis further shows that a representation in terms of normal model of the form exp(-i{omega}t) leads to amplitude factors of these modes which are related to each other and which depend on the combined free-streaming and fluid behaviour of the plasma. Consequently, these modes are coupled and cannot be treated as being independent of each other. (au).}

place = {Sweden}

year = {1990}

month = {Dec}

}

title = {Electron plasma oscillations at arbitrary Debye lengths}

author = {Lehnert, B}

abstractNote = {A solution is presented for electron plasma oscillation in a thermalized homogeneous plasma, at arbitrary ratios between the Debye length {lambda}{sub D} and the perturbation wave length {lambda}. The limit {lambda}{sub D} << {lambda} corresponds to conventional fluid-like theory of small particle excursions, whereas {lambda}{sub D} >> {lambda} corresponds to the free-streaming limit of strong kinetic phase-mixing due to large particle excursions. A strong large Debye distance (LDD) effect already appears when {lambda}{sub D} > approx {lambda}. The initial amplitude of the fluid-like contribution to the macroscopic density perturbation then becomes small as compared to the contribution from the free-streaming part. As a consequence, only a small fraction of the density perturbation remains after a limited number of kinetic damping times of the free-streaming part. The analysis further shows that a representation in terms of normal model of the form exp(-i{omega}t) leads to amplitude factors of these modes which are related to each other and which depend on the combined free-streaming and fluid behaviour of the plasma. Consequently, these modes are coupled and cannot be treated as being independent of each other. (au).}

place = {Sweden}

year = {1990}

month = {Dec}

}