Ground-state correlation energy of counterions at a charged planar wall: Gibbs-Bogoliubov lower-bound approach
arXiv:2004.09994 · doi:10.1016/j.physleta.2020.126512
Abstract
Recent simulation results imply the lowering of the ground-state correlation energy per counterion at a charged planar wall, compared with that of the 2D and 3D one-component plasma systems. Our aim is to correctly evaluate the ground-state energy of strongly-coupled counterion systems by considering a quasi-2D bound state where bound counterions are confined to a layer of molecular thickness. We use a variational approach based on the Gibbs-Bogoliubov inequality for the lower-bound free energy so that the liquid-state theory can be incorporated into the formulations. The soft mean spherical approximation demonstrates that the lowered ground-state energy can be reproduced by the obtained analytical form of a quasi-2D bound state.
arXiv commenthttps://doi.org/10.1016/j.physleta.2020.126512
References in corpus (14)
- Electrostatic correlations: from Plasma to Biology
- The Charge of Glass and Silica Surfaces
- Screening of a macroion by multivalent ions: Correlation induced inversion of charge
- Statics and Dynamics of Strongly Charged Soft Matter
- Electrostatic Interactions in Strongly-Coupled Soft Matter
- Perspective: Coulomb fluids -- weak coupling, strong coupling, in between and beyond
- Screening of a macroion by multivalent ions: A new boundary condition for Poisson-Boltzmann equation and charge inversion
- Wigner-Crystal Formulation of Strong-Coupling Theory for Counter-ions Near Planar Charged Interfaces
- Density functional formulation of the Random Phase Approximation for inhomogeneous fluids: application to the Gaussian core and Coulomb particles
- A correlation-hole approach to the electric double layer with counter-ions only
- A variational principle behind van der Waals picture of strongly coupled plasmas
- A self-consistent field theory of density correlations in classical fluids
- Coarse-Grained Counterions in the Strong Coupling Limit
- Functional-integral approach to Coulomb fluids in the strong coupling limit