Customizable twospecies kinetic equilibria for nonuniform lowbeta plasmas
Abstract
Here, two methods are developed for constructing selfconsistent twospecies kinetic equilibria for lowbeta electrostatic plasmas, in which the magnetic field is uniform and fixed in time. The first method uses Taylor series approximations to construct distribution functions that can be specified analytically. The second method relies on numerically solving a nonlinear ordinary differential equation and produces exact—to numerical precision—equilibria. In both methods, the equilibrium distribution functions for ions and electrons are expressed in terms of constants of motion and satisfy the steadystate VlasovPoisson equation system. Provided that the ion drift speed does not exceed the ion thermal speed, the equilibria can be specified with customizable density and electrostatic potential profiles. The methods can thereby be tailored to different applications and are successfully applied to construct kinetic equilibria for crossfield plasmas with sheared flows, large density variations, and different levels of magnetization. The equilibria are used to initialize fourthorder finitevolume VlasovPoisson simulations in (x, v_{x}, v_{y}) coordinates and the associated temporal evolution is used to assess the accuracy of each method. Lastly, the lowamplitude deviations observed in these simulations demonstrate that the kinetic equilibria are robust and that they provide a valuable means of studying the dynamics of nonuniform magnetized plasmas.
 Authors:

 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Publication Date:
 Research Org.:
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1543072
 Alternate Identifier(s):
 OSTI ID: 1508440
 Report Number(s):
 LLNLJRNL765801
Journal ID: ISSN 1070664X; 955924
 Grant/Contract Number:
 AC5207NA27344; 18ERD048
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 26; Journal Issue: 4; 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
Vogman, G. V., Hammer, J. H., and Farmer, W. A.. Customizable twospecies kinetic equilibria for nonuniform lowbeta plasmas. United States: N. p., 2019.
Web. https://doi.org/10.1063/1.5089465.
Vogman, G. V., Hammer, J. H., & Farmer, W. A.. Customizable twospecies kinetic equilibria for nonuniform lowbeta plasmas. United States. https://doi.org/10.1063/1.5089465
Vogman, G. V., Hammer, J. H., and Farmer, W. A.. Tue .
"Customizable twospecies kinetic equilibria for nonuniform lowbeta plasmas". United States. https://doi.org/10.1063/1.5089465. https://www.osti.gov/servlets/purl/1543072.
@article{osti_1543072,
title = {Customizable twospecies kinetic equilibria for nonuniform lowbeta plasmas},
author = {Vogman, G. V. and Hammer, J. H. and Farmer, W. A.},
abstractNote = {Here, two methods are developed for constructing selfconsistent twospecies kinetic equilibria for lowbeta electrostatic plasmas, in which the magnetic field is uniform and fixed in time. The first method uses Taylor series approximations to construct distribution functions that can be specified analytically. The second method relies on numerically solving a nonlinear ordinary differential equation and produces exact—to numerical precision—equilibria. In both methods, the equilibrium distribution functions for ions and electrons are expressed in terms of constants of motion and satisfy the steadystate VlasovPoisson equation system. Provided that the ion drift speed does not exceed the ion thermal speed, the equilibria can be specified with customizable density and electrostatic potential profiles. The methods can thereby be tailored to different applications and are successfully applied to construct kinetic equilibria for crossfield plasmas with sheared flows, large density variations, and different levels of magnetization. The equilibria are used to initialize fourthorder finitevolume VlasovPoisson simulations in (x, vx, vy) coordinates and the associated temporal evolution is used to assess the accuracy of each method. Lastly, the lowamplitude deviations observed in these simulations demonstrate that the kinetic equilibria are robust and that they provide a valuable means of studying the dynamics of nonuniform magnetized plasmas.},
doi = {10.1063/1.5089465},
journal = {Physics of Plasmas},
number = 4,
volume = 26,
place = {United States},
year = {2019},
month = {4}
}
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