Interaction Between Two Rows of Localized Adsorption Sites in a 2D One-Component Plasma

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We compute the free energy for two rows of localized adsorption sites embedded in a two dimensional one-component plasma with neutralizing background density $ρ$. The interaction energy between the adsorption sites is repulsive. We also compute the average occupation number of the adsorption sites and compare it to the result for a single row of sites. The exact result indicates that the discretization does not induce charge asymmetry and no attractive forces occur.
10 pages 5 figures

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