Equilibrium and Wave Properties of Two-Dimensional Ion Plasmas,

Abstract

Recent experiments have demonstrated the existence of collective modes in a two-dimensional single component ion layer residing just below the surface of liquid helium. A theory of the equilibrium and the wave properties of such a system is presented. The equilibrium is calculated by balancing the repulsive self-electric field pressure with the confining external electric field. In the limit of temperature T = O, the plasma is in the form of a constant density disk at the edge of which the density decreases to zero with a scale length set by the dimensions of the enclosing cylindrical box; increasing T increases the width of the transition region. Modelling the ions as a cold two-dimensional fluid, it is found that the plasma supports an infinite set of radial modes for each value of L, the azimuthal mode number. Imposition of a constant magnetic field perpendicular to the charge sheet increases the frequency of the L = O modes and for L does not O. splits each mode into two; the lowest of these split modes is related to the diocotron mode.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1987
Accession Number
ADA183570

Entities

People

  • George J. Morales
  • S. A. Prasad

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Bessel Functions
  • Cellular Structures
  • Charge Density
  • Complex Variables
  • Dead Reckoning
  • Electric Fields
  • Electrons
  • Equations
  • Fluids
  • Free Electrons
  • Geometry
  • Guard Rings
  • Magnetic Fields
  • Plasma Waves
  • Resonant Frequency
  • Two Dimensional
  • Voltage

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Plasma Physics / Magnetohydrodynamics