Comment on ‘‘Bohm criterion for the collisional sheath’’ [Phys. Plasmas <b>3</b>, 1459 (1996)]

Riemann, K.‐U.; Meyer, P.

doi:10.1063/1.872042

Cited by 59 publications

(77 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The above-cited works [13][14][15][16][17][18] are based on the fluid description of ion motion in the sheath. Another assumption used in Refs.…”

Section: Introductionmentioning

confidence: 99%

Collision-dominated to collisionless electron-free space-charge sheath in a plasma with variable ion temperature

Benilov

2000

Physics of Plasmas

View full text Add to dashboard Cite

A theory of the near-cathode space-charge sheath in the case when the near-cathode voltage is high enough and the presence of electrons in the sheath is unessential is developed on the basis of a fluid description of the ion motion with account of ion-atom collisions and of variable ion temperature. The model spans the range of conditions from a collision-free to collision-dominated space-charge sheath. Detailed analytical and numerical results are presented for two models of ion-atom interaction, the model of rigid spheres (constant mean free path) and the model of Maxwell molecules (constant frequency of momentum transfer). It is found, in particular, that the assumption of cold ions provides a good accuracy in the problem considered. An analytical solution has been obtained under this assumption for the model of Maxwell molecules.

show abstract

“…The above-cited works [13][14][15][16][17][18] are based on the fluid description of ion motion in the sheath. Another assumption used in Refs.…”

Section: Introductionmentioning

confidence: 99%

Collision-dominated to collisionless electron-free space-charge sheath in a plasma with variable ion temperature

Benilov

2000

Physics of Plasmas

View full text Add to dashboard Cite

show abstract

“…Expansions with broken exponents used by Riemann et al 1,5 occur in the solutions of singularly perturbed systems. The analysis of a collisional sheath performed in Refs.…”

mentioning

confidence: 99%

Response to ‘‘Comment on ‘Bohm criterion for the collisional sheath’ ’’ [Phys. Plasmas 3, 1459 (1996)]

Valentini

1996

Physics of Plasmas

View full text Add to dashboard Cite

A plasma sheath concept including both the collisionless and collisional sheaths is explained. References to results of this concept are given. The plasma sheath concept used by Riemann and Meyer in their comment is not relevant for the thick collisional sheath and leads to conclusions which are in obvious contrast to relevant numerical results. Thus, the general remarks of the comment on the paper by Valentini [Phys. Plasmas 3, 1459 (1996)] are not relevant. The criticisms of a few details are justified. A slight quantitative modification of the previous results has been obtained (H.-B. Valentini, submitted to Phys. Plasmas).

show abstract

“…Many authors have considered the influence of collisions on the plasma sheath transition [31][32][33][34] in the normal electron ion plasma and investigated the Bohm criterion. But the collisional sheath does not evaluate the usual approximated relation similar to Bohm criterion [35].…”

Section: Introductionmentioning

confidence: 99%

Electrostatic sheath at the boundary of a collisional dusty plasma

2000

View full text Add to dashboard Cite

Considering the Boltzmann response of the ions and electrons in plasma dynamics and inertial dynamics of the dust charged grains in a highly collisional dusty plasma, the nature of the electrostatic potential near a boundary is investigated. Based on the fluid approximation, the formation as well as the characteristic behaviours of the sheath is studied. It is expected that the presence of dust charged grains will lead to a very different behaviour of the sheath as compared to that of electron-ion plasma. Moreover, the collisions of the dust charged grains with the neutrals are expected to exhibit novel features.

show abstract

Comment on ‘‘Bohm criterion for the collisional sheath’’ [Phys. Plasmas 3, 1459 (1996)]

Cited by 59 publications

References 8 publications

Collision-dominated to collisionless electron-free space-charge sheath in a plasma with variable ion temperature

Collision-dominated to collisionless electron-free space-charge sheath in a plasma with variable ion temperature

Response to ‘‘Comment on ‘Bohm criterion for the collisional sheath’ ’’ [Phys. Plasmas 3, 1459 (1996)]

Electrostatic sheath at the boundary of a collisional dusty plasma

Contact Info

Product

Resources

About