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Exact Screening-Ranged Expansions for Many-Body Electrostatics
Sergii V. Siryk, Walter Rocchia
We present an exact many-body framework for electrostatic interactions among arbitrarily charged spheres in an electrolyte, modeled by the linearized Poisson--Boltzmann equatio…
Many interacting particles in solution. III. Spectral analysis of the associated Neumann--Poincaré-type operators
Sergii V. Siryk, Walter Rocchia
The interaction of particles in an electrolytic medium can be calculated by solving the Poisson equation inside the solutes and the linearized Poisson--Boltzmann equation in the so…
Many interacting particles in solution. II. Screening-ranged expansion of electrostatic forces
Sergii V. Siryk, Walter Rocchia
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 p…
Many interacting particles in solution. I. Screening-ranged expansions of electrostatic potential and energy
Sergii V. Siryk, Walter Rocchia
We present an analytical many-body formalism for systems of spherical particles carrying arbitrary free charge distributions and interacting in a polarizable electrolyte solution,…