Density Correlations in the Two-Dimensional Coulomb Gas
| dc.creator | Šamaj, L. | |
| dc.creator | Jancovici, B. | |
| dc.date | 2001-05-31 | |
| dc.date.accessioned | 2026-07-07T02:41:36Z | |
| dc.date.available | 2026-07-07T02:41:36Z | |
| dc.description | We consider a two-dimensional Coulomb gas of positive and negative pointlike unit charges interacting via a logarithmic potential. The density (rather than the charge) correlation functions are studied. In the bulk, the form-factor theory of an equivalent sine-Gordon model is used to determine the density correlation length. At the surface of a rectilinear plain wall, the universality of the asymptotic behavior of the density correlations is suggested. A scaling analysis implies a local form of the compressibility sum rule near a hard wall. A symmetry of the Coulomb system with respect to the Möbius conformal transformation, which induces a gravitational source acting on the particle density, is established. Among the consequences, a universal term of the finite-size expansion of the grand potential is derived exactly for a disk geometry of the confining domain. | |
| dc.description | 35 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0105604 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0105604 | |
| dc.identifier | J. Stat. Phys. 106 (2002) 323-355 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/17808 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Density Correlations in the Two-Dimensional Coulomb Gas | |
| dc.type | text |