The Two-Dimensional One Component Plasma in a Doubly Periodic Background: Exact Results.

Abstract

A new method is used to find that the two-dimensional one-component plasma in a inhomogenous background is a solvable model, in equilibrium classical statistical mechanics, for the special value Gamma = 2 of the coupling constant, for a larger class of background shapes: the n-body densities can be explicitly computed. In particular, we can deal with a doubly periodic background; this is a classical model for a crystal mode of fixed ions and mobile electrons. At Gamma = 2, this system is conductor: the correlations have a fast decay, and the Stillinger-Lovett screening sum rule is obeyed.

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Document Details

Document Type
Technical Report
Publication Date
Jan 24, 1988
Accession Number
ADA191260

Entities

People

  • Bernard Jancovici
  • Francoise Cornu
  • Lesser Blum

Organizations

  • University of Puerto Rico

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Birds
  • Cells
  • Charge Density
  • Charged Particles
  • Command And Control
  • Complex Numbers
  • Computer Simulations
  • Electrons
  • Equations
  • Exits
  • Geometry
  • Ground State
  • Phase
  • Phase Transformations
  • Puerto Rico
  • Statistical Mechanics
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Microelectronics