Many interacting particles in solution. II. Screening-ranged expansion of electrostatic forces

2025/12/09 by Sergii V. Siryk, Siryk, Sergii V., Walter Rocchia +1 · 3 citations
Chemistry · Materials Science · #Advanced Physical and Chemical Molecular Interactions #Biological Physics (physics.bio-ph) #Chemical Physics (physics.chem-ph) #Computational Physics (physics.comp-ph) #Electrostatics and Colloid Interactions #FOS: Physical sciences #Material Dynamics and Properties #Mathematical Physics (math-ph) #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.2512.08682

openalex publication_date 2025/12/09 · openalex created_date 2025/12/11 · openalex updated_date 2026/07/28

Abstract

We present a fully analytical integration of the Maxwell stress tensor and derive exact relations for interparticle forces in systems of multiple dielectric spheres immersed in a polarizable ionic solvent, within the framework of the linearized Poisson--Boltzmann theory. Building upon the screening-ranged (in ascending orders of Debye screening) expansions of the potentials developed and rigorously analyzed in the accompanying works arXiv:2512.08407, arXiv:2512.08684, arXiv:2512.09421, we construct exact screening-ranged many-body expansions for electrostatic forces in explicit analytical form. These results establish a rigorous foundation for evaluating screened electrostatic interactions in complex particle systems and provide direct analytical connections to, and systematic improvements upon, various earlier approximate or limited-case formulations available in the literature, both at zero and finite ionic strength.

Citations

• Exact Screening-Ranged Expansions for Many-Body Electrostatics
• Many interacting particles in solution. III. Spectral analysis of the associated Neumann--Poincaré-type operators
• Many interacting particles in solution. I. Screening-ranged expansions of electrostatic potential and energy
• NextGenPB: an analytically-enabled super resolution and local (de)refinement Poisson-Boltzmann Equation solver
• Some challenges of diffused interfaces in implicit-solvent models
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• Predicting the orientation of adsorbed proteins steered with electric fields using a simple electrostatic model
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• PB-AM: An Open-Source, Fully Analytical Linear Poisson-Boltzmann Solver
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Cited by

• Exact Screening-Ranged Expansions for Many-Body Electrostatics
• Many interacting particles in solution. III. Spectral analysis of the associated Neumann--Poincaré-type operators
• Many interacting particles in solution. I. Screening-ranged expansions of electrostatic potential and energy

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