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Screening in 1D Coulomb systems
Gabriel Tellez, Universidad de los Andes
We study a system of two like-charges screened by N counter-ions, living on a line and interacting through the 1D Coulomb potential. We obtain explicit analytic expressions for the canonical partition function and the effective force between the like-charges. It is shown that this force can be attractive depending on the distance between the charges and the parity of the number of counter-ions N.