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Related papers: Extensions and Applications of the Bohm Criterion

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A kinetic theory of the Bohm criterion is developed that is based on positive-exponent velocity moments of the plasma kinetic equation. This result is contrasted with the conventional kinetic Bohm criterion that is based on a v^{-1} moment…

Plasma Physics · Physics 2015-06-12 S. D. Baalrud , C. C. Hegna

Between a plasma and a solid target lies a positively charged sheath of several Debye lengths $\lambda_{\rm D}$ in width, typically much smaller than the characteristic length scale $L$ of the main plasma. This scale separation implies that…

Plasma Physics · Physics 2024-11-20 Alessandro Geraldini , Stephan Brunner

In his comment, Riemann defends the conventional kinetic Bohm criterion on the basis that the underlying approximations become rigorous in the limit \lambda_D/l \rightarrow 0, where \lambda_D is the Deybe length and l is a collision length…

Plasma Physics · Physics 2012-12-19 S D Baalrud , C C Hegna

The electron sheath is a particular electron-rich sheath with negative net charges where plasma potential is lower than the biased electrode. Here an improved understanding of electron sheath theory is provided using both fluid and kinetic…

Plasma Physics · Physics 2022-07-27 Guang-Yu Sun , Zhang Shu , An-Bang Sun , Guan-Jun Zhang

A long-standing debate in the literature about the kinetic form of the Bohm criterion is resolved for plasmas with single positive ion species when transport is dominated by charge exchange collisions. The solution of the Boltzmann equation…

Plasma Physics · Physics 2018-06-05 Tsanko Vaskov Tsankov , Uwe Czarnetzki

The plasma exit flow speed at the sheath entrance is constrained by the Bohm criterion. The so-called Bohm speed regulates the plasma particle and power exhaust fluxes to the wall, and it is commonly deployed as a boundary condition to…

Plasma Physics · Physics 2022-03-14 Yuzhi Li , Bhuvana Srinivasan , Yanzeng Zhang , Xian-Zhu Tang

The purpose of this paper is to mathematically investigate the formation of a plasma sheath, and to analyze the Bohm criterions which are required for the formation. Bohm derived originally the (hydrodynamic) Bohm criterion from the…

Analysis of PDEs · Mathematics 2023-08-22 Masahiro Suzuki , Masahiro Takayama

The effects of ion temperature are discussed in a two-ion electron plasma and for a model applicable to the oscillating sheath theory that has recently been much in the focus of researchers. The differences between the fluid and kinetic…

Plasma Physics · Physics 2009-11-13 J. Vranjes , B. P. Pandey , M. Y. Tanaka , S. Poedts

A solid target in contact with a plasma charges (negatively) to reflect the more mobile species (electrons) and thus keep the bulk plasma quasineutral. To shield the bulk plasma from the charged target, there is an oppositely (positively)…

Plasma Physics · Physics 2025-01-20 Alessandro Geraldini , Stephan Brunner , Felix I. Parra

The paper analyses Bohm criterion for the formation positive ion sheath in dusty plasmas . The criterion may be derived from the dispersion relation.

Pattern Formation and Solitons · Physics 2007-05-23 K. Zuchowski

Most plasmas have a very thin sheath compared with the plasma dimension. This necessitates separate calculations of the plasma and sheath. The Bohm criterion provides the boundary condition for calculation of plasma profiles. To calculate…

Plasma Physics · Physics 2016-09-08 Igor D. Kaganovich

In this study, we conduct 2D3V Particle-In-Cell simulations of hollow cathodes, encompassing both the channel and plume region, with an emphasis on plasma switch applications. The plasma in the hollow cathode channel can exhibit kinetic…

A theory for presheath-like structures near probes biased at and above the plasma potential is developed for collisionless plasmas with an electron-neutral mean free path on the order of the chamber scale. The theory predicts presheath-like…

Plasma Physics · Physics 2024-01-01 Brett Scheiner

A careful study of plasma-material interactions is essential to understand and improve the operation of devices where plasma contacts a wall. Key contributions of this work include (i) novel continuum kinetic algorithms with novel boundary…

Plasma Physics · Physics 2019-06-17 Petr Cagas

The form of a sheath near a small electrode, with bias changing from below to above the plasma potential is studied using 2D particle-in-cell (PIC) simulations. Five cases are studied: (A) an electrode biased more than the electron…

We study the properties of plasma sheath containing the cold positive ions, the secondary electrons, and the primary electrons with a Cairns-distribution (a non-thermal velocity-distribution). We derive the generalized Bohm criterion and…

Plasma Physics · Physics 2026-03-19 Yida Zhang , Jiulin Du

In this study, the physics of sheath formation in a collisional two-electron temperature plasma in the presence of an oblique external magnetic field has been investigated. At first, a comparative study among the fluid electron model,…

Plasma Physics · Physics 2022-08-29 G. Sharma , R. Paul , K. Deka , R. Moulick , S. Adhikari , S. S. Kausik , B. K. Saikia

The main concern of this paper is to study large-time behavior of the sheath to the full Euler-Poisson system. As is well known, the monotone stationary solution under the Bohm criterion can be referred to as the sheath which is formed by…

Analysis of PDEs · Mathematics 2024-03-18 Yao Lei , Yin Haiyan , Zhu Mengmeng

A novel description of kinetic theory dynamics is proposed in terms of resummed moments that embed information of both hydrodynamic and non-hydrodynamic modes. The resulting expansion can be used to extend hydrodynamics to higher orders in…

Nuclear Theory · Physics 2019-01-16 L. Tinti , G. Vujanovic , J. Noronha , U. Heinz

Mean force kinetic theory is used to evaluate the electrical conductivity, thermal conductivity, electrothermal coefficient, thermoelectric coefficient, and shear viscosity of a two-component (ion-electron) plasma. Results are compared with…

Plasma Physics · Physics 2025-11-14 Jarett LeVan , Scott D. Baalrud
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