Complementarity problems for electro-neutral charged bodies

TL;DR

This paper develops a solution to the complementarity problem specifically for electro-neutral bodies, which are more representative of natural objects, under the condition of small volumes.

Contribution

It introduces a novel solution framework for electro-neutral bodies in the complementarity problem, expanding the applicability of previous models to more realistic scenarios.

Findings

Solution constructed for electro-neutral bodies

Applicable when bodies have small volumes

Extends previous models to natural objects

Abstract

Solutions to the complementarity problem constructed in [1], generally, possess non-zero total charge. In natural sciences, bodies possessing non-zero total charge (ions and similar object) are considered as specific objects. Bodies possessing zero total charge (electro-neutral bodies) are considered as general case objects. This paper presents a solution to the complementarity problem for electro-neutral bodies. The solution is constructed under the condition that the volumes of the bodies are small.