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We examine the effective counterion-mediated electrostatic interactionbetween two like-charged dielectric cylinders immersed in a continuousdielectric medium containing neutralizing mobile counterions. We focus on theeffects of image charges induced as a result of the dielectric mismatch betweenthe cylindrical cores and the surrounding dielectric medium and investigate thecounterion-mediated electrostatic interaction between the cylinders in bothlimits of weak and strong electrostatic couplings (corresponding, e.g., tosystems with monovalent and multivalent counterions, respectively). The resultsare compared with extensive Monte-Carlo simulations exhibiting good agreementwith the limiting weak and strong coupling results in their respective regimeof validity.

Counterion-Mediated Weak and Strong Coupling Electrostatic Interaction between Like-Charged Cylindrical Dielectrics