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Название: A Functional Relation Among the Pair Correlations of the Two-Dimensional One-Component Plasma
Авторы: Samaj L., Percus J.K.
Journal of Statistical Physics, Vol. 80, Nos. 3/4, 1995. p. 811-824.
We map the classical two-dimensional one-component plasma of charged particles with coupling constant Г 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 Г.