A functional relation among the pair correlations of the two-dimensional one-component plasma

L. Šamaj, Jerome Percus

Research output: Contribution to journalArticle

Abstract

We map the classical two-dimensional one-component plasma of charged particles with coupling constant Γ an even positive integer onto a one-dimensional fermionic system. We then show that, in the thermodynamic limit of the fluid regime, translational invariance of the two-body density implies an infinite sequence of interrelations among the coefficients of its short-distance expansion. The existence of these sum rules turns out to be related to a general symmetry of the Coulomb system, providing a functional relation for the two-body density for arbitrary coupling Γ.

Original languageEnglish (US)
Pages (from-to)811-824
Number of pages14
JournalJournal of Statistical Physics
Volume80
Issue number3-4
DOIs
StatePublished - Aug 1995

Fingerprint

One-component Plasma
Coulomb Systems
Sum Rules
One-dimensional System
Thermodynamic Limit
sum rules
integers
invariance
Invariance
charged particles
Symmetry
Imply
Fluid
thermodynamics
expansion
Integer
fluids
symmetry
Arbitrary
Coefficient

Keywords

  • logarithmic interaction
  • One-component plasma
  • sum rules

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

A functional relation among the pair correlations of the two-dimensional one-component plasma. / Šamaj, L.; Percus, Jerome.

In: Journal of Statistical Physics, Vol. 80, No. 3-4, 08.1995, p. 811-824.

Research output: Contribution to journalArticle

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