Strong-coupling theory of counterions with hard cores between symmetrically charged walls
Šamaj, Ladislav ; Trulsson, Martin LU
and Trizac, Emmanuel
(2020)
In Physical Review E
102(4).
- Abstract
By a combination of Monte Carlo simulations and analytical calculations, we investigate the effective interactions between highly charged planar interfaces, neutralized by mobile counterions (salt-free system). While most previous analysis have focused on pointlike counterions, we treat them as charged hard spheres. We thus work out the fate of like-charge attraction when steric effects are at work. The analytical approach partitions counterions in two subpopulations, one for each plate, and integrates out one subpopulation to derive an effective Hamiltonian for the remaining one. The effective Hamiltonian features plaquette four-particle interactions, and it is worked out by computing a Gibbs-Bogoliubov inequality for the free energy.... (More)
By a combination of Monte Carlo simulations and analytical calculations, we investigate the effective interactions between highly charged planar interfaces, neutralized by mobile counterions (salt-free system). While most previous analysis have focused on pointlike counterions, we treat them as charged hard spheres. We thus work out the fate of like-charge attraction when steric effects are at work. The analytical approach partitions counterions in two subpopulations, one for each plate, and integrates out one subpopulation to derive an effective Hamiltonian for the remaining one. The effective Hamiltonian features plaquette four-particle interactions, and it is worked out by computing a Gibbs-Bogoliubov inequality for the free energy. At the root of the treatment is the fact that under strong electrostatic coupling, the system of charges forms an ordered arrangement, that can be affected by steric interactions. Fluctuations around the reference positions are accounted for. To dominant order at high coupling, it is found that steric effects do not significantly affect the interplate effective pressure, apart at small distances where hard-sphere overlap are unavoidable, and thus rule out configurations.
(Less)
- author
- Šamaj, Ladislav
; Trulsson, Martin
LU
and Trizac, Emmanuel
- organization
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E
- volume
- 102
- issue
- 4
- article number
- 042604
- publisher
- American Physical Society
- external identifiers
-
- scopus:85093361748
- pmid:33212638
- ISSN
- 2470-0045
- DOI
- 10.1103/PhysRevE.102.042604
- language
- English
- LU publication?
- yes
- id
- a0d62dde-8b96-47b8-8e93-065e249175b8
- date added to LUP
- 2020-11-06 12:34:51
- date last changed
- 2024-08-22 06:51:14
@article{a0d62dde-8b96-47b8-8e93-065e249175b8,
abstract = {{<p>By a combination of Monte Carlo simulations and analytical calculations, we investigate the effective interactions between highly charged planar interfaces, neutralized by mobile counterions (salt-free system). While most previous analysis have focused on pointlike counterions, we treat them as charged hard spheres. We thus work out the fate of like-charge attraction when steric effects are at work. The analytical approach partitions counterions in two subpopulations, one for each plate, and integrates out one subpopulation to derive an effective Hamiltonian for the remaining one. The effective Hamiltonian features plaquette four-particle interactions, and it is worked out by computing a Gibbs-Bogoliubov inequality for the free energy. At the root of the treatment is the fact that under strong electrostatic coupling, the system of charges forms an ordered arrangement, that can be affected by steric interactions. Fluctuations around the reference positions are accounted for. To dominant order at high coupling, it is found that steric effects do not significantly affect the interplate effective pressure, apart at small distances where hard-sphere overlap are unavoidable, and thus rule out configurations.</p>}},
author = {{Šamaj, Ladislav and Trulsson, Martin and Trizac, Emmanuel}},
issn = {{2470-0045}},
language = {{eng}},
number = {{4}},
publisher = {{American Physical Society}},
series = {{Physical Review E}},
title = {{Strong-coupling theory of counterions with hard cores between symmetrically charged walls}},
url = {{http://dx.doi.org/10.1103/PhysRevE.102.042604}},
doi = {{10.1103/PhysRevE.102.042604}},
volume = {{102}},
year = {{2020}},
}