2001/04/17 by L. Šamaj, B. Jancovici
Physics and Astronomy · #cond-mat.stat-mech
published as J. Stat. Phys. 106 (2002) 301-321 · 23 pages, Latex
arxiv created 2001/04/17 · arxiv updated 2009/11/30
The model under consideration is a two-dimensional two-component plasma, i.e., a continuous system of two species of pointlike particles of opposite charges ± 1, interacting through the logarithmic Coulomb interaction. Using the exact results for the form-factors of an equivalent Euclidean sine-Gordon theory, we derive the large-distance behavior of the pair correlation functions between charged particles. This asymptotic behavior is checked on a few lower orders of its β-expansion (β is the inverse temperature) around the Debye-Hückel limit β→ 0, and at the free-fermion point β= 2 at which the collapse of positive-negative pairs of charges occurs.