Fluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition

Fluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition.

We study the distribution of the mean radial displacement of charges of a two-dimensional (2D) one-component plasma in the thermodynamic limit N→∞ at finite temperature β>0. We compute explicitly the large deviation functions showing the emergence of a fourth-order phase transition as a consequence of a change of topology in the plasma distribution. This weak phase transition occurs exactly at ...

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...

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...

Fluctuations and phase separation in a quasi-one-dimensional system.

Phase transitions in a quasi-one-dimensional surface system on a metal substrate are investigated as a function of temperature. Upon cooling the system shows a loss of long-range order, fluctuations, and a transition into an inhomogeneous ground state due to competition of local adsorbate-adsorbate interactions with an incommensurate charge density wave. This agrees with a general phase diagram...