Charge Fluctuations in the Two-Dimensional One-Component Plasma
| dc.creator | Levesque, D. | |
| dc.creator | Weis, J. -J. | |
| dc.creator | Lebowitz, J. L. | |
| dc.date | 1999-09-14 | |
| dc.date.accessioned | 2026-07-07T03:14:33Z | |
| dc.date.available | 2026-07-07T03:14:33Z | |
| dc.description | 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 $-e ρ$, in a region $Λ$ inside a much larger overall neutral system. Setting $e=1$ this is the same as the fluctuations in $N_Λ$, the number of mobile particles of charge $e$. As expected the distribution of $ N_Λ$ has, for large $Λ$, a Gaussian form with a variance which grows only as $\hat κ|\partial Λ|$, where $|\partial Λ|$ is the length of the perimeter of $Λ$. The properties of this system depend only on the coupling parameter $Γ= kT$ which is the same as the reciprocal temperature in our units. Our simulations show that when the coupling parameter $Γ$ increases, $\hat κ(Γ)$ decreases to an asymptotic value $\hat κ(\infty) \sim \hat κ(2)/2$ which is equal (or very close) to that obtained for the corresponding variance of particles on a rigid triangular lattice. Thus, for large $Γ$, the characteristic length $ξ_L = 2\hat κ/ρ$ associated with charge fluctuations behaves very differently from that of the Debye length, $ξ_D \sim 1/\sqrt Γ$, which it approaches as $Γ\to 0$. The pair correlation function of the OCP is also studied. | |
| dc.description | 17 pages, 6 figures, revtex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9909208 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9909208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29711 | |
| dc.subject | Condensed Matter | |
| dc.title | Charge Fluctuations in the Two-Dimensional One-Component Plasma | |
| dc.type | text |