A functional relation among the pair correlations of the two-dimensional one-component plasma |
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Authors: | L. Šamaj J. K. Percus |
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Affiliation: | (1) Courant Institute of Mathematical Sciences, New York University, 10012 New York, New York;(2) Present address: Institute of Physics, Slovak Academy of Sciences, Bratislava, Slovakia;(3) Physics Department, New York University, 10003 New York, New York |
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Abstract: | We map the classical two-dimensional one-component plasma of charged particles with coupling constant an even positive integer onto a one-dimensional fermionic system. We then show that, in the thermodynamic limit of the fluid regime, translational invariance of the two-body density implies an infinite sequence of interrelations among the coefficients of its short-distance expansion. The existence of these sum rules turns out to be related to a general symmetry of the Coulomb system, providing a functional relation for the two-body density for arbitrary coupling . |
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Keywords: | One-component plasma logarithmic interaction sum rules |
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