M S Loth and B I Shklovskii 2009 J. Phys.: Condens. Matter 21 424104 doi:10.1088/0953-8984/21/42/424104
Non-mean-field screening by multivalent counterions
M S Loth and B I Shklovskii
Show affiliationsScreening 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
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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
- Dates
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Issue 42 (21 October 2009)
Received 30 March 2009
Published 29 September 2009
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Non-mean-field screening by multivalent counterions
M S Loth and B I Shklovskii 2009 J. Phys.: Condens. Matter 21 424104
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