Large-Distance Behavior of Particle Correlations in the Two-Dimensional Two-Component Plasma

Details Large-Distance Behavior of Particle Correlations in the Two-Dimensional Two-Component Plasma Large-Distance Behavior of Particle Correlations in the Two-Dimensional Two-Component Plasma

2001-04-17

arxiv.org/abs/cond-mat/0104292v1

J. Stat. Phys. 106 (2002) 301-321

Physics

Condensed Matter

Statistical Mechanics

23 pages, Latex

Scientific paper

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 $\pm 1$, 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 $\beta$-expansion ($\beta$ is the inverse temperature) around the Debye-H\"uckel limit $\beta\to 0$, and at the free-fermion point $\beta = 2$ at which the collapse of positive-negative pairs of charges occurs.

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