Local Density for Two-Dimensional One-Component Plasma

On the classical two-dimensional one-component Coulomb plasma

Is the Two-Dimensional One-Component Plasma Exactly Solvable?

The model under consideration is the two-dimensional (2D) one-component plasma of pointlike charged particles in a uniform neutralizing background, interacting through the logarithmic Coulomb interaction. Classical equilibrium statistical mechanics is studied by non-traditional means. The question of the potential integrability (exact solvability) of the plasma is investigated, first at arbitra...

Charge Fluctuations in the Two-Dimensional One-Component Plasma

We study, via computer simulations, the fluctuations in the net electric charge, in a two dimensional one component plasma (OCP) with uniform background charge density −eρ, in a region Λ inside a much larger overall neutral system. Setting e = 1 this is the same as the fluctuations in NΛ, the number of mobile particles of charge e. As expected the distribution of NΛ has, for large Λ, a Gaussian...

A Sum Rule for the Two-Dimensional Two-Component Plasma

In a two-dimensional two-component plasma, the second moment of the density correlation function has the simple value {12π[1 − (Γ/4)]2}−1, where Γ is the dimensionless coupling constant. This result is derived by using analogies with critical systems.

Two-dimensional two-component plasma with adsorbing impurities

We study the behavior of the two-dimensional two-component plasma in the presence of some adsorbing impurities. Using a solvable model, we find analytic expressions for the thermodynamic properties of the plasma such as the n-body densities, the grand potential, and the pressure. We specialize in the case where there are one or two adsorbing point impurities in the plasma, and in the case where...