Two-dimensional one-component plasma at GAMMA = 2: Behavior of correlation functions in strip geometry

Journal Article · Fri Apr 01 00:00:00 EST 1983 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01010926· OSTI ID:5935118

Forrester, P J; Jancovici, B; Smith, E R

This paper considers a strip of two-dimensional one-component plasma of particles of charge q at a temperature T such that the coupling constant be GAMMA = q/sup 2//k/sub B/T = 2. The strip is of finite width and infinite length and bears charge densities on either edge. Inside the strip and on one side, the dielectric constant is 1; on the other side of the strip, it may be either 1 or 0 (in the latter case, image forces play an important role). The free energy as well as the one-particle and two-particle distribution functions can be exactly computed. They obey a variety of sum rules reflecting the Coulombic behavior of the system. At large separations the truncated two-particle distribution function behaves with algebraically decaying oscillations. The strip of finite width in fact is correlated along the strip much as a one-dimensional system is correlated.

• Research Organization: Department of Mathematics, University of Melbourne, Parkville, Victoria, 3052, Australia
• OSTI ID: 5935118
• Journal Information: J. Stat. Phys.; (United States), Vol. 31:1
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
HOMOGENEOUS PLASMA
CORRELATION FUNCTIONS
ASYMPTOTIC SOLUTIONS
CHARGE DENSITY
COULOMB FIELD
COUPLING CONSTANTS
DISTRIBUTION FUNCTIONS
SUM RULES
TWO-DIMENSIONAL CALCULATIONS
ELECTRIC FIELDS
EQUATIONS
FUNCTIONS
PLASMA
700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)