Two-dimensional Coulomb systems on a surface of constant negative curvature
| dc.creator | Jancovici, B. | |
| dc.creator | Tellez, G. | |
| dc.date | 1998-01-30 | |
| dc.date | 1998-03-20 | |
| dc.date.accessioned | 2026-07-07T03:09:53Z | |
| dc.date.available | 2026-07-07T03:09:53Z | |
| dc.description | We study the equilibrium statistical mechanics of classical two-dimensional Coulomb systems living on a pseudosphere (an infinite surface of constant negative curvature). The Coulomb potential created by one point charge exists and goes to zero at infinity. The pressure can be expanded as a series in integer powers of the density (the virial expansion). The correlation functions have a thermodynamic limit, and remarkably that limit is the same one for the Coulomb interaction and some other interaction law. However, special care is needed for defining a thermodynamic limit of the free energy density. There are sum rules expressing the property of perfect screening. These generic properties can be checked on the Debye-Hückel approximation, and on two exactly solvable models~: the one-component plasma and the two-component plasma, at some special temperature. | |
| dc.description | 28 pages.LaTex.Minor revisions have been made.To be published in J.Stat.Phys.(June 1998) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9801322 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9801322 | |
| dc.identifier | J.Stat.Phys. 91 (1998) 953 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28061 | |
| dc.subject | Condensed Matter | |
| dc.title | Two-dimensional Coulomb systems on a surface of constant negative curvature | |
| dc.type | text |