Many interacting particles in solution. II. Screening-ranged expansion of electrostatic forces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915669088403456 |
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| author | Siryk, Sergii V. Rocchia, Walter |
| author_facet | Siryk, Sergii V. Rocchia, Walter |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08682 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Many interacting particles in solution. II. Screening-ranged expansion of electrostatic forces Siryk, Sergii V. Rocchia, Walter Soft Condensed Matter Mathematical Physics Biological Physics Chemical Physics Computational Physics 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. |
| title | Many interacting particles in solution. II. Screening-ranged expansion of electrostatic forces |
| topic | Soft Condensed Matter Mathematical Physics Biological Physics Chemical Physics Computational Physics |
| url | https://arxiv.org/abs/2512.08682 |