Paillusson, Fabien and Trizac, Emmanuel (2011) Interaction regimes for oppositely charged plates with multivalent counterions. Physical Review E, 84 (1). ISSN 1539-3755
Full content URL: http://dx.doi.org/10.1103/PhysRevE.84.011407
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1106.5864v2.pdf - Whole Document 515kB |
Item Type: | Article |
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Item Status: | Live Archive |
Abstract
Within a mean-field treatment of the interaction between two oppositely charged plates in a salt-free solution, the distance at which a transition from an attractive to a repulsive regime appears can be computed analytically. The mean-field description, however, breaks down under strong Coulombic couplings, which can be achieved at room temperature with multivalent counterions and highly charged surfaces. Making use of the contact theorem and simple physical arguments, we propose explicit expressions for the equation of state in several situations at short distances. The possibility of Bjerrum pair formation is addressed and is shown to have profound consequences on the interactions. To complete the picture, we consider the large-distance limit, from which schematic phase diagram discriminating attractive from repulsive regions can be proposed.
Keywords: | Electrostatics, Strong coupling, Statistical mechanics |
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Subjects: | F Physical Sciences > F300 Physics F Physical Sciences > F340 Mathematical & Theoretical Physics |
Divisions: | College of Science > School of Mathematics and Physics |
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ID Code: | 17976 |
Deposited On: | 09 Sep 2015 10:41 |
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