The two-dimensional one-component plasma in a doubly periodic background: Exact results |
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Authors: | Françoise Cornu Bernard Jancovici Lesser Blum |
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Institution: | (1) Laboratoire de Physique Théorique et Hautes Energies, Université de Paris-Sud, 91405 Orsay, France;(2) Department of Physics, POB AT, Faculty of Natural Sciences, University of Puerto Rico, 00931 Rio Piedras, Puerto Rico |
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Abstract: | We revisit the equilibrium classical statistical mechanics of the two-dimensional one-component plasma, for the special value =2 of the coupling constant. Using a new method, we find that the model is solvable (then-body densities can be explicitly computed) for a larger class of inhomogeneous backgrounds. In particular, we can deal with a doubly periodic background; this is a classical model for a crystal made of fixed ions and mobile electrons. At =2, this system is conducting: the correlations have a fast decay, and the Stillinger-Lovett screening sum rule is obeyed. |
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Keywords: | One-component inhomogeneous plasma doubly periodic background conducting phase |
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