From monotonic to oscillatory decay of correlations: analytical approximation for the two-dimensional, one-component plasma

Journal Article · Fri May 01 00:00:00 EDT 1987 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01007522· OSTI ID:6262604

Piasecki, J; Levesque, D

An approximate evaluation of the pair distribution and the structure factor is performed analytically for the two-dimensional, one-component plasma at any value of the coupling constant Gamma. The approximate distribution remains positive and satisfies three sum rules, including the compressibility one. When Gamma ..-->.. 0 or Gamma ..-->.. 2, exact results are found. At Gamma = 2 the transition from monotonic (Gamma < 2) to oscillatory (Gamma > 2) decay of correlations takes place. Comparison with the Monte Carlo simulations shows good agreement for 0 < Gamma < 4.

• Research Organization: Univ. of Warsaw, Poland
• OSTI ID: 6262604
• Journal Information: J. Stat. Phys.; (United States), Vol. 47:3-4
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
PARTICLE MODELS
CORRELATION FUNCTIONS
STRUCTURE FUNCTIONS
SUM RULES
PLASMA
COMPUTERIZED SIMULATION
COULOMB FIELD
COUPLING CONSTANTS
DECAY
DISTRIBUTION FUNCTIONS
MONTE CARLO METHOD
OSCILLATIONS
PARTICLE INTERACTIONS
PLASMA SIMULATION
QUANTUM MECHANICS
STATISTICAL MECHANICS
TWO-DIMENSIONAL CALCULATIONS
ELECTRIC FIELDS
EQUATIONS
FUNCTIONS
INTERACTIONS
MATHEMATICAL MODELS
MECHANICS
SIMULATION
657002* - Theoretical &amp; Mathematical Physics- Classical &amp; Quantum Mechanics