Volume 22, Issue 1
Understanding Depletion Induced Like-Charge Attraction from Self-Consistent Field Model

Pei Liu, Manman Ma & Zhenli Xu

Commun. Comput. Phys., 22 (2017), pp. 95-111.

Published online: 2019-10

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  • Abstract

The interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electrolytes has been frequently observed in experiments, which has been theoretically debated for a long time. It is widely known that the mean field Poisson-Boltzmann theory cannot explain and predict this anomalous feature since it ignores many-body properties. In this paper, we develop efficient algorithm and perform the force calculation between two interfaces using a set of self-consistent equations which properly takes into account the electrostatic correlation and the dielectric-boundary effects. By solving the equations and calculating the pressure with the Debye-charging process, we show that the self-consistent equations could be used to study the attraction between like-charge surfaces from weak-coupling to mediate-coupling regimes, and that the attraction is due to the electrostatics-driven entropic force which is significantly enhanced by the dielectric depletion of mobile ions. A systematic investigation shows that the interaction forces can be tuned by material permittivity, ionic size and valence, and salt concentration, and that the like-charge attraction exists only for specific regime of these parameters.

  • Keywords

Like-charge attraction, self-consistent field model, dielectric-boundary effect, correlation energy, Green’s function.

  • AMS Subject Headings

82.45.Un, 64.70.pv, 82.60.Lf

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

hgliupei1990@sjtu.edu.cn (Pei Liu)

mmm@sjtu.edu.cn (Manman Ma)

xuzl@sjtu.edu.cn (Zhenli Xu)

  • BibTex
  • RIS
  • TXT
@Article{CiCP-22-95, author = {Liu , Pei and Ma , Manman and Xu , Zhenli }, title = {Understanding Depletion Induced Like-Charge Attraction from Self-Consistent Field Model}, journal = {Communications in Computational Physics}, year = {2019}, volume = {22}, number = {1}, pages = {95--111}, abstract = {

The interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electrolytes has been frequently observed in experiments, which has been theoretically debated for a long time. It is widely known that the mean field Poisson-Boltzmann theory cannot explain and predict this anomalous feature since it ignores many-body properties. In this paper, we develop efficient algorithm and perform the force calculation between two interfaces using a set of self-consistent equations which properly takes into account the electrostatic correlation and the dielectric-boundary effects. By solving the equations and calculating the pressure with the Debye-charging process, we show that the self-consistent equations could be used to study the attraction between like-charge surfaces from weak-coupling to mediate-coupling regimes, and that the attraction is due to the electrostatics-driven entropic force which is significantly enhanced by the dielectric depletion of mobile ions. A systematic investigation shows that the interaction forces can be tuned by material permittivity, ionic size and valence, and salt concentration, and that the like-charge attraction exists only for specific regime of these parameters.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0104}, url = {http://global-sci.org/intro/article_detail/cicp/13348.html} }
TY - JOUR T1 - Understanding Depletion Induced Like-Charge Attraction from Self-Consistent Field Model AU - Liu , Pei AU - Ma , Manman AU - Xu , Zhenli JO - Communications in Computational Physics VL - 1 SP - 95 EP - 111 PY - 2019 DA - 2019/10 SN - 22 DO - http://dor.org/10.4208/cicp.OA-2016-0104 UR - https://global-sci.org/intro/article_detail/cicp/13348.html KW - Like-charge attraction, self-consistent field model, dielectric-boundary effect, correlation energy, Green’s function. AB -

The interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electrolytes has been frequently observed in experiments, which has been theoretically debated for a long time. It is widely known that the mean field Poisson-Boltzmann theory cannot explain and predict this anomalous feature since it ignores many-body properties. In this paper, we develop efficient algorithm and perform the force calculation between two interfaces using a set of self-consistent equations which properly takes into account the electrostatic correlation and the dielectric-boundary effects. By solving the equations and calculating the pressure with the Debye-charging process, we show that the self-consistent equations could be used to study the attraction between like-charge surfaces from weak-coupling to mediate-coupling regimes, and that the attraction is due to the electrostatics-driven entropic force which is significantly enhanced by the dielectric depletion of mobile ions. A systematic investigation shows that the interaction forces can be tuned by material permittivity, ionic size and valence, and salt concentration, and that the like-charge attraction exists only for specific regime of these parameters.

Pei Liu, Manman Ma & Zhenli Xu. (2019). Understanding Depletion Induced Like-Charge Attraction from Self-Consistent Field Model. Communications in Computational Physics. 22 (1). 95-111. doi:10.4208/cicp.OA-2016-0104
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