Thermodynamic Properties of the One-Dimensional Two-Component Log-Gas
| dc.creator | Šamaj, L. | |
| dc.date | 2001-02-19 | |
| dc.date.accessioned | 2026-07-07T02:40:26Z | |
| dc.date.available | 2026-07-07T02:40:26Z | |
| dc.description | We consider a one-dimensional continuum gas of pointlike positive and negative unit charges interacting via a logarithmic potential. The mapping onto a two-dimensional boundary sine-Gordon field theory with zero bulk mass provides the full thermodynamics (density-fugacity relationship, specific heat, etc.) of the log-gas in the whole stability range of inverse temperatures $β<1$. An exact formula for the excess chemical potential of a ``foreign'' particle of an arbitrary charge, put into the log-gas, is derived. The results are checked by a small-$β$ expansion and at the collapse $β=1$ point. The possibility to go beyond the collapse temperature is discussed. | |
| dc.description | 22 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0102332 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0102332 | |
| dc.identifier | J. Stat. Phys. 105 (2001) 175-193 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/17379 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Thermodynamic Properties of the One-Dimensional Two-Component Log-Gas | |
| dc.type | text |