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The double-layer of penetrable ions: An alternative route to charge reversal

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10.1063/1.4802994

### Abstract

We investigate a double-layer of penetrable ions near a charged wall. We find a new mechanism for charge reversal that occurs in the weak-coupling regime and, accordingly, the system is suitable for the mean-field analysis. The penetrability is achieved by smearing-out the ionic charge inside a sphere, so there is no need to introduce non-electrostatic forces and the system in the low coupling limit can be described by a modified version of the Poisson-Boltzmann equation. The predictions of the theory are compared with the Monte Carlo simulations.

© 2013 AIP Publishing LLC

Received 26 March 2013
Accepted 12 April 2013
Published online 01 May 2013

Acknowledgments: D.F. is grateful to Nathan Berkovits for an invitation to and a short sojourn in the ICTP-SAIFR, where, prompted by the theoretical atmosphere of the institute, the formal aspects of the FSPB equation were laid down. This work was partially supported by the CNPq, FAPERGS, INCT-FCx, and by the U.S. AFOSR under the grant FA9550-12-1-0438.

Article outline:

I. INTRODUCTION

II. THE POISSON-BOLTZMANN EQUATION FOR SMEARED-OUT CHARGES

III. VARIOUS DISTRIBUTIONS ω(*r*)

IV. NUMERICAL RESULTS FOR THE FSPB EQUATION

A. Tuning of the short-range interactions

V. COMPARISON WITH SIMULATION

VI. DISCUSSION

VII. CONCLUSION

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2013-05-01

2014-04-16

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