Physics of Plasmas
   
 
 
 
Previous Article
Current sheet formation and nonideal behavior at three-dimensional magnetic null points
The nature of the evolution of the magnetic field, and of current sheet formation, at three-dimensional (3D) magnetic null points is investigated. A kinematic example is presented that demonstrates th...
Next Article
Potential around a charged dust particle in a collisional sheath
By employing a self-consistent kinetic approach, an analytical expression is derived for the potential of a test charge in a weakly ionized plasma with ion drift. The drift is assumed to be due to an ...

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

Phys. Plasmas 14, 052107 (2007); doi:10.1063/1.2727470

Published 16 May 2007

You are not logged in to this journal. Log in

K. Gomberoff
Center for Beam Physics, Lawrence Berkeley National Laboratory and Department of Physics, University of California, Berkeley, Berkeley, California 94720 and
Physics Department, Technion, Haifa 32000, Israel


J. Fajans and J. Wurtele
Center for Beam Physics, Lawrence Berkeley National Laboratory and Department of Physics, University of California, Berkeley, Berkeley, California 94720

A. Friedman, D. P. Grote, and R. H. Cohen
Fusion Energy Program, Lawrence Livermore National Laboratory, Livermore, California 94550

J.-L. Vay
Lawrence Berkeley National Laboratory, Berkeley, California 94720
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. ©2007 American Institute of Physics
History: Received 18 December 2006; accepted 19 March 2007; published 16 May 2007
Permalink: http://link.aip.org/link/?PHPAEN/14/052107/1
BUY THIS ARTICLE   (US$28)
Download PDF (1835 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 52.27.Jt
    Nonneutral plasmas
  • 52.65.Rr
    Particle-in-cell method (plasma simulation)
  • 52.55.Jd
    Magnetic mirrors, gas dynamic traps
  • 52.25.Xz
    Magnetized plasmas
  • 52.25.Fi
    Plasma transport properties
  • 52.20.Fs
    Electron collisions in plasma
  • 52.20.Hv
    Atomic, molecular, ion, and heavy-particle collisions in plasma
  • YEAR: 2007

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (19)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. A. Kabantsev and C. Driscoll, Phys. Rev. Lett. 89, 245001 (2002).
  2. T. M. O'Neil and C. Driscoll, Phys. Fluids 22, 266 (1979).
  3. S. A. Prasad and T. M. O'Neil, Phys. Fluids 22, 278 (1979).
  4. D. Dubin and T. M. O'Neil, Rev. Mod. Phys. 71, 87 (1999).
  5. R. Davidson, A. Drobot, and C. A. Kapetanakos, Phys. Fluids 16, 2199 (1973).
  6. M. Amoretti, C. Amsler, G. Bonomi, A. Bouchta, P. Bowe, C. Carraro, C. L. Cesar, M. Charlton, M. J. T. Collier, M. Dose, ATHENA collaboration et al., Nature (London) 419, 456 (2002).
  7. G. Gabrielse, N. S. Bowden, P. Oxley, A. Speck, C. H. Storry, J. N. Tan, M. Wessels, D. Grzonka, W. Oelert, G. Schepers, ATRAP Collaboration et al., Phys. Rev. Lett. 89, 213401 (2002).
  8. W. Bertsche, A. Boston, P. D. Bowe, C. L. Cesar, S. Chapman, M. Charlton, M. Chartier, A. Deutsch, J. Dilling, J. Fajans, ALPHA Collaboration et al., “The ALPHA Experiment: A Cold Anti-Hydrogen Trap,” prepared for the International Conference on Low Energy Antiproton Physics (LEAP'05), edited by D. Grzonka, R. Czyzykiewicz, W. Oelert, T. Rozek and P. Winter (American Institute of Physics, New York, 2005), Vol. 796, p. 301.
  9. W. Bertsche, A. Boston, P. D. Bowe, C. L. Cesar, S. Chapman, M. Charlton, M. Chartier, A. Deutsch, J. Dilling, J. Fajans, and ALPHA collaboration, Nucl. Instrum. Methods Phys. Res. A 566, 746 (2006).
  10. G. Andresen, W. Bertsche, A. Boston, P. D. Bowe, C. L. Cesar, S. Chapman, M. Charlton, M. Chartier, A. Deutsch, J. Fajans, ALPHA collaboration et al., Phys. Rev. Lett. 98, 023402 (2007).
  11. J. Fajans, W. Bertsche, K. Burke, S. F. Chapman, and D. P. van der Werf, Phys. Rev. Lett. 95, 155001 (2005).
  12. J. Fajans and A. Schmidt, Nucl. Instrum. Methods Phys. Res. A 521, 318 (2004).
  13. K. Gomberoff, J. Fajans, A. Friedman, D. P. Grote, J.-L. Vay, and J. Wurtele, “Simulations of plasma confinement in an antihydrogen trap” (to be submitted).
  14. K. Gomberoff, J. Wurtele, A. Friedman, J.-L. Vay, and D. Grote “A method for obtaining three dimensional simulations of non-neutral plasmas using Warp,” to appear in J. Comput. Phys..
  15. J. Fajans, Phys. Plasmas 10, 1209 (2003).
  16. D. P. Grote, A. Friedman, I. Haber, and J.-L. Vay, AIP Conf. Proc. 749, 55 (2005).
  17. J. M. Dawson, “Phys. Fluids 7, 419 (1964).
  18. C. K. Birdsall and A. B. Langdon, Plasma Physics via Computer Simulation (McGraw-Hill, New York, 1985), pp. 255–303.
  19. R. H. Cohen, A. Friedman, M. Kireeff Covo, S. M. Lund, A. W. Molvik, F. M. Bieniosek, P. A. Seidl, J.-L. Vay, P. Stoltz, and S. Veitzer, Phys. Plasmas 12, 056708 (2005).

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.