Driftideal magnetohydrodynamic simulations of m = 0 modes in Zpinch plasmas
Abstract
In this paper, the effects of m = 0 modes on equilibrium Zpinch plasmas are studied using a driftideal magnetohydrodynamic (MHD) model. The model equations are an extension of ideal MHD to include finiteioninertiallength/cyclotronfrequency (Ω_{i}) effects in Ohm's law and in the electron and ion heat transport equations. The linear modes contained in this model include the ideal interchange (sausage) mode and in the magnetized limit, Ω_{i}τ_{i}»1 with τ_{i} the ion collision time, nonideal entropy modes. It is well known that these two modes are decoupled in the kρ_{s} « 1 limit, where k is the axial mode number and ρ_{s} = c_{s}/Ω_{i} is the gyroBohm scale with c_{s} the sound speed [B. Kadomtsev, Sov. Phys. JETPUSSR 10, 780 (1960)]. For Bennett equilibrium profiles, it is shown that the regions of stability for both modes are completely governed by the adiabatic coefficient γ in these limits. Equilibria with Bennett profiles are stable to entropy modes for γ < 2 but unstable to ideal modes and vice versa for γ > 2. However, these modes are no longer decoupled when kρ_{s}≳1. The simulation results of the fully nonlinear set of equations in the magnetized limit show that seeded modes with kρ_{s}≳1more »
 Authors:

 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Publication Date:
 Research Org.:
 Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1558863
 Alternate Identifier(s):
 OSTI ID: 1544456
 Report Number(s):
 LLNLJRNL767947
Journal ID: ISSN 1070664X; 958625; TRN: US2000258
 Grant/Contract Number:
 AC5207NA27344; 18ERD007
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 26; Journal Issue: 7; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Angus, J. R., Dorf, M., and Geyko, V. I. Driftideal magnetohydrodynamic simulations of m = 0 modes in Zpinch plasmas. United States: N. p., 2019.
Web. doi:10.1063/1.5093625.
Angus, J. R., Dorf, M., & Geyko, V. I. Driftideal magnetohydrodynamic simulations of m = 0 modes in Zpinch plasmas. United States. https://doi.org/10.1063/1.5093625
Angus, J. R., Dorf, M., and Geyko, V. I. Tue .
"Driftideal magnetohydrodynamic simulations of m = 0 modes in Zpinch plasmas". United States. https://doi.org/10.1063/1.5093625. https://www.osti.gov/servlets/purl/1558863.
@article{osti_1558863,
title = {Driftideal magnetohydrodynamic simulations of m = 0 modes in Zpinch plasmas},
author = {Angus, J. R. and Dorf, M. and Geyko, V. I.},
abstractNote = {In this paper, the effects of m = 0 modes on equilibrium Zpinch plasmas are studied using a driftideal magnetohydrodynamic (MHD) model. The model equations are an extension of ideal MHD to include finiteioninertiallength/cyclotronfrequency (Ωi) effects in Ohm's law and in the electron and ion heat transport equations. The linear modes contained in this model include the ideal interchange (sausage) mode and in the magnetized limit, Ωiτi»1 with τi the ion collision time, nonideal entropy modes. It is well known that these two modes are decoupled in the kρs « 1 limit, where k is the axial mode number and ρs = cs/Ωi is the gyroBohm scale with cs the sound speed [B. Kadomtsev, Sov. Phys. JETPUSSR 10, 780 (1960)]. For Bennett equilibrium profiles, it is shown that the regions of stability for both modes are completely governed by the adiabatic coefficient γ in these limits. Equilibria with Bennett profiles are stable to entropy modes for γ < 2 but unstable to ideal modes and vice versa for γ > 2. However, these modes are no longer decoupled when kρs≳1. The simulation results of the fully nonlinear set of equations in the magnetized limit show that seeded modes with kρs≳1 and γ = 5/3 display the characteristics of both ideal and entropy modes. The general heat flux for both ions and electrons as a function of the species magnetization is retained in the model. Both the linear and nonlinear behaviors of seeded modes for kρs≳1 display a strong dependence on the magnetization of the ions. Lastly, the growth rate increases linearly with k at large kρs when the ions are magnetized but decreases with increasing k when Ωiτi≲1.},
doi = {10.1063/1.5093625},
journal = {Physics of Plasmas},
number = 7,
volume = 26,
place = {United States},
year = {2019},
month = {7}
}
Web of Science
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