707 research outputs found
An exact solution of the moving boundary problem for the expansion of a plasma cylinder in a magnetic field
An exact analytic solution has been obtained for a uniformly expanding,
neutral, infinitely conducting plasma cylinder in an external uniform and
constant magnetic field. The electrodynamical aspects related to the emission
and transformation of energy have been considered as well. The results obtained
can be used in analysing the recent experimental and simulation data.Comment: 5 pages, 1 figur
Cooling force on ions in a magnetized electron plasma
Electron cooling is a well-established method to improve the phase space
quality of ion beams in storage rings. In the common rest frame of the ion and
the electron beam the ion is subjected to a drag force and it experiences a
loss or a gain of energy which eventually reduces the energy spread of the ion
beam. A calculation of this process is complicated as the electron velocity
distribution is anisotropic and the cooling process takes place in a magnetic
field which guides the electrons. In this paper the cooling force is calculated
in a model of binary collisions (BC) between ions and magnetized electrons, in
which the Coulomb interaction is treated up to second-order as a perturbation
to the helical motion of the electrons. The calculations are done with the help
of an improved BC theory which is uniformly valid for any strength of the
magnetic field and where the second-order two-body forces are treated in the
interaction in Fourier space without specifying the interaction potential. The
cooling force is explicitly calculated for a regularized and screened potential
which is both of finite range and less singular than the Coulomb interaction at
the origin. Closed expressions are derived for monochromatic electron beams,
which are folded with the velocity distributions of the electrons and ions. The
resulting cooling force is evaluated for anisotropic Maxwell velocity
distributions of the electrons and ions.Comment: 22 pages, 10 figure
On some generalized stopping power sum rules
The Lindhard-Winther (LW) equipartition sum rule shows that within the linear
response theory, the stopping power of an energetic point-charge projectile in
a degenerate electron gas medium, receives equal contributions from
single-particle and collective excitations in the medium. In this paper we show
that the LW sum rule does not necessarily hold for an extended projectile ion
and for ion-clusters moving in a fully degenerate electron gas. We have derived
a generalized equipartition sum rule and some related sum rules for this type
of projectiles. We also present numerical plots for He ion and He
ion-clusters.Comment: 2 figures, LaTe
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