Narayan, Onuttom and Shastry, Sriram B (1999) The 2D Coulomb gas on a 1D lattice. In: Journal of Physics A: Mathematical and General, 32 (7). 1131-1146 .
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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, such as the quantum Brownian motion of a panicle in a periodic potential and impurity problems, are pointed out.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Institute of Physics.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Physics|
|Date Deposited:||02 Jul 2011 05:59|
|Last Modified:||02 Jul 2011 05:59|
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