ArticleThe journal of physical chemistry. B2022
Arbitrary-Shape Dielectric Particles Interacting in the Linearized Poisson-Boltzmann Framework: An Analytical Treatment.
Article in The journal of physical chemistry. B, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Quantitative Theory for Critical Conditions of Like-Charge Attraction between Polarizable Spheres.Journal of chemical theory and computation · 2025Article
- Deconstructing Electrostatics of Functionalized Metal Nanoparticles from Molecular Dynamics Simulations.The journal of physical chemistry. B · 2023Article
- Interaction of Nanoparticles in Electrolyte Solutions.The journal of physical chemistry. B · 2023Article
- Biomolecular Electrostatic Phenomena: An Evergreen Field.The journal of physical chemistry. B · 2023Article
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2 authors.
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Abstract
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.
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