Large Deviations of Radial Statistics in the Two-Dimensional One-Component Plasma

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...

Large Deviations for the One - Dimensional Edwards Model

ONE-DIMENSIONAL EDWARDS MODEL Mar h 6, 2002 Rem o van der Hofstad 1 2 Frank den Hollander 3 Wolfgang K onig 4 Abstra t: In this paper we prove a large deviation prin iple for the empiri al drift of a onedimensional Brownian motion with self-repellen e alled the Edwards model. Our results extend earlier work in whi h a law of large numbers, respe tively, a entral limit theorem were derived. In ...

2 Large Deviations for the One - Dimensional Edwards Model

In this paper we prove a large deviation principle for the empirical drift of a onedimensional Brownian motion with self-repellence called the Edwards model. Our results extend earlier work in which a law of large numbers, respectively, a central limit theorem were derived. In the Edwards model a path of length T receives a penalty eT , where HT is the self-intersection local time of the path a...