2001/02/19 by L. Šamaj
Physics and Astronomy · #cond-mat.stat-mech
published as J. Stat. Phys. 105 (2001) 175-193 · 22 pages, Latex
arxiv created 2001/02/19 · arxiv updated 2009/11/30
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.