# Accession Number:

## ADA134115

# Title:

## Plasma Theory and Simulation.

# Descriptive Note:

## Quarterly progress rept. no. 4, 1 Oct-31 Dec 81,

# Corporate Author:

## CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB

# Personal Author(s):

# Report Date:

## 1981-12-31

# Pagination or Media Count:

## 12.0

# Abstract:

As discussed in a previous document, the ion distribution function in the thermal-barrier region of a tandem mirror machine can be unstable to electrostatic andor electromagnetic two-stream modes. In this document the author examines the analytic stability in an infinite medium of those electronic ion-ion two-stream modes which have their wave vector, k, parallel to the axial magnetic field this is equivalent to examining 1-d localized stability. The point of our doing inhomogenous simulations is precisely to examine any non-infinite medium effects on the instability in a thermal barrier. Any unstable ion-ion two-stream modes are expected to have wavelengths of order wavelength di since the thermal-barrier cell itself is much longer that this, our analytic local approximation will provide at least a zeroth-order estimate of instability as well as a reference from which to measure any inhomogenity effects recovered later by our particle simulation runs.

# Descriptors:

- *Plasmas(Physics)
- *Ion ion interactions
- Distribution functions
- Cells
- Barriers
- Heating
- Electrostatics
- Stability
- Waves
- Vector analysis
- Magnetic fields
- Simulation
- Homogeneity
- Approximation(Mathematics)
- Estimates
- Ion beams
- Collisions
- Electromagnetic properties
- Electrons
- High density
- Trapping(Charged particles)

# Subject Categories:

- Plasma Physics and Magnetohydrodynamics