The 2-d Coulomb Gas on a 1-d lattice

Details The 2-d Coulomb Gas on a 1-d lattice The 2-d Coulomb Gas on a 1-d lattice

1998-12-04

arxiv.org/abs/cond-mat/9812067v1

Physics

Condensed Matter

15 pages, 7 figures

Scientific paper

10.1088/0305-4470/32/7/005

The statistical mechanics of a two dimensional Coulomb gas confined to one dimension is studied, wherein hard core particles move on a ring. Exact self-duality is shown for a version of the sine-Gordon model arising in this context, thereby locating the transition temperature exactly. We present asymptotically exact results for the correlations in the model and characterize the low and high temperature phases. Numerical simulations provide support to these renormalization group calculations. Connections with other interesting problems, the quantum Brownian motion of a particle in a periodic potential and impurity problems, are pointed out.

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