Universal free energy correction for the two-dimensional one-component plasma

Abstract

The universal finite-size correction to the free energy of a two-dimensional Coulomb system is checked in the special case of a one-component plasma on a sphere. The correction is related to the known second moment of the short-range part of the direct correlation function for a planar system.

3 pages, 1 figure, to appear in Physica A

References in corpus (2)

• Exact Finite Size Study of the 2dOCP at Gamma=4 and Gamma=6
• Another Derivation of a Sum Rule for the Two-Dimensional Two-Component Plasma

Cited by in corpus (10)

• Geometry of Quantum Hall States: Gravitational Anomaly and Kinetic Coefficients
• Collective Field Theory for Quantum Hall States
• Is the Two-Dimensional One-Component Plasma Exactly Solvable?
• Finite-Size Corrections for Coulomb Systems in the Debye-Huckel Regime
• Universal Finite-Size Effects in the Two-Dimensional Asymmetric Coulomb Gas on a Sphere
• Counter-Ions Near a Charged Wall: Exact Results for Disc and Planar Geometries
• Debye-Huckel theory for two-dimensional Coulomb systems living on a finite surface without boundaries
• Finite-Size Effects in Non-Neutral Two-Dimensional Coulomb Fluids
• General Considerations on the Finite-Size Corrections for Coulomb Systems in the Debye-Huckel Regime
• Logarithmic Finite-Size Correction in Non-neutral Two-Component Plasma on Sphere