Are two plasma equilibrium states possible when the emission coefficient exceeds unity?

Campanell, Michael D.; Umansky, M. V.

doi:10.1063/1.4976856

Title: Are two plasma equilibrium states possible when the emission coefficient exceeds unity?

Journal Article · Tue Feb 28 00:00:00 EST 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4976856· OSTI ID:1346133

Campanell, Michael D. ^[1]; Umansky, M. V. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Two floating sheath solutions with strong electron emission in planar geometry have been proposed, a “space-charge limited” (SCL) sheath and an “inverse” sheath. SCL and inverse models contain different assumptions about conditions outside the sheath (e.g., the velocity of ions entering the sheath). So it is not yet clear whether both sheaths are possible in practice, or only one. Here we treat the global presheath-sheath problem for a plasma produced volumetrically between two planar walls. We show that all equilibrium requirements (a) floating condition, (b) plasma shielding, and (c) presheath force balance, can indeed be satisfied in two different ways when the emission coefficient γ > 1. There is one solution with SCL sheaths and one with inverse sheaths, each with sharply different presheath distributions. As we show for the first time in 1D-1V simulations, a SCL and inverse equilibrium are both possible in plasmas with the same upstream properties (e.g., same N and Te). However, maintaining a true SCL equilibrium requires no ionization or charge exchange collisions in the sheath, or else cold ion accumulation in the SCL's “dip” forces a transition to the inverse. This suggests that only a monotonic inverse type sheath potential should exist at any plasma-facing surface with strong emission, whether be a divertor plate, emissive probe, dust grain, Hall thruster channel wall, sunlit object in space, etc. Nevertheless, SCL sheaths might still be possible if the ions in the dip can escape. Finally, our simulations demonstrate ways in which SCL and inverse regimes might be distinguished experimentally based on large-scale presheath effects, without having to probe inside the sheath.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1346133

Alternate ID(s):: OSTI ID: 1348021

Report Number(s):: LLNL-JRNL-703199; TRN: US1700671

Journal Information:: Physics of Plasmas, Vol. 24, Issue 5; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 26 works

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