skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Simulation studies of non-neutral plasma equilibria in an electrostatic trap with a magnetic mirror

Abstract

The equilibrium of an infinitely long, strongly magnetized, non-neutral plasma confined in a Penning-Malmberg trap with an additional mirror coil has been solved analytically [J. Fajans, Phys. Plasmas 10, 1209 (2003)] and shown to exhibit unusual features. Particles not only reflect near the mirror in the low field region, but also may be weakly trapped in part of the high field region. The plasma satisfies a Boltzmann distribution along field lines; however, the density and the potential vary along field lines. Some other simplifying assumptions were employed in order to analytically characterize the equilibrium; for example the interface region between the low and high field regions was not considered. The earlier results are confirmed in the present study, where two-dimensional particle-in-cell (PIC) simulations are performed with the Warp code in a more realistic configuration with an arbitrary (but physical) density profile, realistic trap geometry and magnetic field. A range of temperatures and radial plasma sizes are considered. Particle tracking is used to identify populations of trapped and untrapped particles. The present study also shows that it is possible to obtain local equilibria of non-neutral plasmas using a collisionless PIC code, by a scheme that uses the inherent numerical collisionality asmore » a proxy for physical collisions.« less

Authors:
; ; ; ; ; ;  [1];  [2];  [3];  [3];  [3]
  1. Center for Beam Physics, Lawrence Berkeley National Laboratory and Department of Physics, University of California, Berkeley, Berkeley, California 94720 (United States)
  2. (Israel)
  3. (United States)
Publication Date:
OSTI Identifier:
20974967
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 5; Other Information: DOI: 10.1063/1.2727470; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLLISIONS; CONFIGURATION; DISTRIBUTION; ELECTRON TEMPERATURE; EQUILIBRIUM; GEOMETRY; ION TEMPERATURE; MAGNETIC FIELDS; MAGNETIC MIRRORS; PLASMA; PLASMA DENSITY; PLASMA SIMULATION; TRAPPING; TRAPS; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Gomberoff, K., Fajans, J., Wurtele, J., Friedman, A., Grote, D. P., Cohen, R. H., Vay, J.-L., Physics Department, Technion, Haifa 32000, Center for Beam Physics, Lawrence Berkeley National Laboratory and Department of Physics, University of California, Berkeley, Berkeley, California 94720, Fusion Energy Program, Lawrence Livermore National Laboratory, Livermore, California 94550, and Lawrence Berkeley National Laboratory, Berkeley, California 94720. Simulation studies of non-neutral plasma equilibria in an electrostatic trap with a magnetic mirror. United States: N. p., 2007. Web. doi:10.1063/1.2727470.
Gomberoff, K., Fajans, J., Wurtele, J., Friedman, A., Grote, D. P., Cohen, R. H., Vay, J.-L., Physics Department, Technion, Haifa 32000, Center for Beam Physics, Lawrence Berkeley National Laboratory and Department of Physics, University of California, Berkeley, Berkeley, California 94720, Fusion Energy Program, Lawrence Livermore National Laboratory, Livermore, California 94550, & Lawrence Berkeley National Laboratory, Berkeley, California 94720. Simulation studies of non-neutral plasma equilibria in an electrostatic trap with a magnetic mirror. United States. doi:10.1063/1.2727470.
Gomberoff, K., Fajans, J., Wurtele, J., Friedman, A., Grote, D. P., Cohen, R. H., Vay, J.-L., Physics Department, Technion, Haifa 32000, Center for Beam Physics, Lawrence Berkeley National Laboratory and Department of Physics, University of California, Berkeley, Berkeley, California 94720, Fusion Energy Program, Lawrence Livermore National Laboratory, Livermore, California 94550, and Lawrence Berkeley National Laboratory, Berkeley, California 94720. Tue . "Simulation studies of non-neutral plasma equilibria in an electrostatic trap with a magnetic mirror". United States. doi:10.1063/1.2727470.
@article{osti_20974967,
title = {Simulation studies of non-neutral plasma equilibria in an electrostatic trap with a magnetic mirror},
author = {Gomberoff, K. and Fajans, J. and Wurtele, J. and Friedman, A. and Grote, D. P. and Cohen, R. H. and Vay, J.-L. and Physics Department, Technion, Haifa 32000 and Center for Beam Physics, Lawrence Berkeley National Laboratory and Department of Physics, University of California, Berkeley, Berkeley, California 94720 and Fusion Energy Program, Lawrence Livermore National Laboratory, Livermore, California 94550 and Lawrence Berkeley National Laboratory, Berkeley, California 94720},
abstractNote = {The equilibrium of an infinitely long, strongly magnetized, non-neutral plasma confined in a Penning-Malmberg trap with an additional mirror coil has been solved analytically [J. Fajans, Phys. Plasmas 10, 1209 (2003)] and shown to exhibit unusual features. Particles not only reflect near the mirror in the low field region, but also may be weakly trapped in part of the high field region. The plasma satisfies a Boltzmann distribution along field lines; however, the density and the potential vary along field lines. Some other simplifying assumptions were employed in order to analytically characterize the equilibrium; for example the interface region between the low and high field regions was not considered. The earlier results are confirmed in the present study, where two-dimensional particle-in-cell (PIC) simulations are performed with the Warp code in a more realistic configuration with an arbitrary (but physical) density profile, realistic trap geometry and magnetic field. A range of temperatures and radial plasma sizes are considered. Particle tracking is used to identify populations of trapped and untrapped particles. The present study also shows that it is possible to obtain local equilibria of non-neutral plasmas using a collisionless PIC code, by a scheme that uses the inherent numerical collisionality as a proxy for physical collisions.},
doi = {10.1063/1.2727470},
journal = {Physics of Plasmas},
number = 5,
volume = 14,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}