Investigation about validity of the Derjaguin approximation for electrostatic interactions for a sphere-sphere system

Zhou, Shiqi

doi:10.1007/s00396-019-04469-7

Cited by 10 publications

(2 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…During the past several decades the CDFT approach has evolved into one powerful and quantitative analytical tool for inhomogeneous fluid state systems, and the application areas include surface phase transitions [39][40][41][42][43][44][45][46] liquid-vapor interface [47,48], effective interaction between surfaces in neutral [49][50][51][52] or electrostatic [53][54][55][56][57] fluid systems, solid-liquid interface [58][59][60][61], solid-liquid transition [62][63][64][65][66] in bulk, and supercapacitor [29][30][31][32]67], etc. For the EDL comprised of the PM electrolyte confined by uniformly charged surface(s), the CDFT had been validated [68][69][70][71] repeatedly by a comparison with corresponding simulation and applied in diverse fields [72][73][74].…”

Section: Model and Methodsmentioning

confidence: 99%

On the statistical mechanics investigation of structure and effective electrostatic force between two solid surfaces in electrolyte dissolved in non-polar solvent

Zhou¹

2020

J. Stat. Mech.

View full text Add to dashboard Cite

On the statistical mechanics investigation of structure and effective electrostatic force differential capacitance does not drop significantly with decreasing the supercapacitor size and implies one potential application in promoting the EDL energy storage by reducing the device size and dissolving the electrolyte with the present model solvent. (iii) New and novel features of the SEF include the insensitivity of the SEF curve to the bulk electrolyte concentration and like charge attraction in the 1:1 electrolyte; moreover, the SEF strength always drops definitely with the solvent site polarization charge strength. (iv) It is argued that the underlying causes of the above observations are the solvent chain structure and solvent site polarization charge, which highlights several unique effects: space congestion, interparticle association in the EDL, additional electrostatic screening caused by the polarized solvent site, and 'bridge' force and the entropic force due to the chain structure.

show abstract

Section: Model and Methodsmentioning

confidence: 99%

On the statistical mechanics investigation of structure and effective electrostatic force between two solid surfaces in electrolyte dissolved in non-polar solvent

Zhou¹

2020

J. Stat. Mech.

View full text Add to dashboard Cite

show abstract

“…In the same work, it was further demonstrated that even in the (simplest) case of two centrally located point charges the ( k ≥ 2)-screened terms may significantly exceed the conventional singly screened ( k = 1) DLVO term. 2 , 19 , 41 , 65 , 66 This imbalance can only increase when higher-order multipoles are present or when particles have a large dissimilarity (in size, charge, etc.). This emphasizes the importance of developing a rigorous (exact at least at the DH level) electrostatic analytical theory for arbitrary-shape polarizable dielectric particles at arbitrary interparticle separations and without any assumption on charge or system symmetries and particle sizes (as often found also in the recent literature—see the detailed overview in ref ( 2 ), section III).…”

Section: Introductionmentioning

confidence: 99%

Arbitrary-Shape Dielectric Particles Interacting in the Linearized Poisson–Boltzmann Framework: An Analytical Treatment

Siryk

Rocchia

2022

J. Phys. Chem. B

View full text Add to dashboard Cite

This work considers the interaction of two dielectric particles of arbitrary shape immersed into a solvent containing a dissociated salt and assuming that the linearized Poisson–Boltzmann equation holds. We establish a new general spherical re-expansion result which relies neither on the conventional condition that particle radii are small with respect to the characteristic separating distance between particles nor on any symmetry assumption. This is instrumental in calculating suitable expansion coefficients for the electrostatic potential inside and outside the objects and in constructing small-parameter asymptotic expansions for the potential, the total electrostatic energy, and forces in ascending order of Debye screening. This generalizes a recent result for the case of dielectric spheres to particles of arbitrary shape and builds for the first time a rigorous (exact at the Debye–Hückel level) analytical theory of electrostatic interactions of such particles at arbitrary distances. Numerical tests confirm that the proposed theory may also become especially useful in developing a new class of grid-free, fast, highly scalable solvers.

show abstract

A statistical mechanics study on relationship between nanopore size and energy storage in supercapacitors

Zhou

2021

Journal of Physics and Chemistry of Solids

View full text Add to dashboard Cite

Investigation about validity of the Derjaguin approximation for electrostatic interactions for a sphere-sphere system

Cited by 10 publications

References 66 publications

On the statistical mechanics investigation of structure and effective electrostatic force between two solid surfaces in electrolyte dissolved in non-polar solvent

On the statistical mechanics investigation of structure and effective electrostatic force between two solid surfaces in electrolyte dissolved in non-polar solvent

Arbitrary-Shape Dielectric Particles Interacting in the Linearized Poisson–Boltzmann Framework: An Analytical Treatment

A statistical mechanics study on relationship between nanopore size and energy storage in supercapacitors

Contact Info

Product

Resources

About