Like-charge attraction at short distances in a charge-asymmetric two-dimensional two-component plasma: Exact results

Abstract

We determine exactly the short-distance effective potential between two "guest" charges immersed in a two-dimensional two-component charge-asymmetric plasma composed of positively ($q_1=+1$) and negatively ($q_2=-1/2$) charged point particles. The result is valid over the whole regime of stability, where the Coulombic coupling (dimensionless inverse temperature) $\beta <4$. At high Coulombic coupling $\beta >2$, this model features like-charge attraction. Also, there cannot be repulsion between opposite-charges at short-distances, at variance with large-distance interactions.

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• One-dimensional counterion gas between charged surfaces: Exact results compared with weak- and strong-coupling analysis
• Electroosmosis as a probe for electrostatic correlations
• Short-distance expansion of correlation functions in the charge-symmetric two-dimensional two-component plasma: Exact results
• Renormalization of Hard-Core Guest Charges Immersed in Two-Dimensional Electrolyte

Cited by in corpus (1)

• Like-charge attraction in one- and two-dimensional Coulomb systems