2012
DOI: 10.1063/1.4745863
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Potential of a plasma bound between two biased walls

Abstract: An analytical study is presented for an one-dimensional, steady-state plasma bound between two perfectly absorbing walls that are biased with respect to each other. Starting from a description of the plasma sheaths formed at both walls, an expression relating the bulk plasma potential to the wall currents is derived, showing that the plasma potential undergoes an abrupt transition when currents cross a critical value. This result is confirmed by numerical simulations performed with a particle-in-cell code.

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Cited by 10 publications
(13 citation statements)
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“…This work also shows consistency with measured IVDFs. The predictions of equation (32) have also been tested using PIC simulations of biased electrodes [155,161]. In this case, the modification from the fluid Bohm criterion arises due to the non-local kinetic character of the electron distribution.…”
Section: Weak Ion Sheaths and The Transition To Electron Sheathmentioning
confidence: 99%
“…This work also shows consistency with measured IVDFs. The predictions of equation (32) have also been tested using PIC simulations of biased electrodes [155,161]. In this case, the modification from the fluid Bohm criterion arises due to the non-local kinetic character of the electron distribution.…”
Section: Weak Ion Sheaths and The Transition To Electron Sheathmentioning
confidence: 99%
“…The y coordinate labels the position along the magnetic field line. Sheath boundary conditions are applied to the boundaries in y by setting the parallel current J || to the current at the entrance to the magnetic pre-sheath J sh [50,51] where…”
Section: Mast Geometrymentioning
confidence: 99%
“…(17), (21), (22), (23), (24), and (26), in the GBS code, 6 a global three-dimensional fluid code based on the drift-reduced Braginskii equations with T i ( T e and the Boussinesq approximation. GBS evolves the plasma dynamics with no separation between equilibrium and fluctuating quantities, as a balance between density and heat sources, the turbulent cross-field transport produced by plasma instabilities, and the losses at the sheaths, where the magnetic field lines terminate on the walls.…”
Section: Fluid Simulations With Boundary Conditions At the Magnetimentioning
confidence: 99%