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Non-mean-field screening by multivalent counterions

M S Loth and B I Shklovskii

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Screening of a strongly charged macroion by its multivalent counterions cannot be described in the framework of a mean-field Poisson–Boltzmann (PB) theory because multivalent counterions form a strongly correlated liquid (SCL) on the surface of the macroion. It was predicted that a distant counterion polarizes the SCL as if it were a metallic surface and creates an electrostatic image. The attractive potential energy of the image is the reason why the charge density of counterions decreases faster with distance from the charged surface than in PB theory. Using the Monte Carlo method to find the equilibrium distribution of counterions around the macroion, we confirm the existence of the image potential energy. It is also shown that, due to the negative screening length of the SCL, −2ξ, the effective metallic surface is actually above the SCL by |ξ|.


PACS

68.43.-h Chemisorption/physisorption: adsorbates on surfaces

68.49.Sf Ion scattering from surfaces (charge transfer, sputtering, SIMS)

79.20.Rf Atomic, molecular, and ion beam impact and interactions with surfaces

Subjects

Condensed matter: electrical, magnetic and optical

Surfaces, interfaces and thin films

Dates

Issue 42 (21 October 2009)

Received 30 March 2009

Published 29 September 2009



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