{ "id": "2012.02326", "version": "v1", "published": "2020-12-03T23:23:21.000Z", "updated": "2020-12-03T23:23:21.000Z", "title": "On Derivation of the Poisson-Boltzmann Equation", "authors": [ "Ilias", "Chenn", "Israel Michael Sigal" ], "doi": "10.1007/s10955-020-02562-8", "categories": [ "math-ph", "math.MP" ], "abstract": "Starting from the microscopic reduced Hartree-Fock equation, we derive the nanoscopic linearized Poisson-Boltzmann equation for the electrostatic potential associated with the electron density.", "revisions": [ { "version": "v1", "updated": "2020-12-03T23:23:21.000Z" } ], "analyses": { "subjects": [ "81V74", "81V45", "81Q80", "35Q70" ], "keywords": [ "derivation", "microscopic reduced hartree-fock equation", "nanoscopic linearized poisson-boltzmann equation", "electron density", "electrostatic potential" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }