Mathematical Modeling of Carbon Nanoparticle Distribution in Polymer Composites for High Electrical Conductivity: Implications for Green Technologies

Abstract

A mathematical framework has been formulated to elucidate the conductivity behavior of polymer composites infused with carbon nanoparticles. This linear model, while simplistic, provides a foundational understanding of how factors like nanoparticle morphology, concentration, and surface properties, in conjunction with polymer matrix attributes such as viscosity and surface tension, influence the spatial distribution of these nanoparticles. The overarching aim is to harness the potential of electrically conductive composites in bolstering green technological advancements in sectors like road transport, solar energy, batteries, and environmental conservation. The model underscores the pivotal role of high electrical conductivity in ensuring the efficient, sustainable, and environmentally benign operation of these technologies. This mathematical construct emerges as an instrumental tool, paving the way for the strategic design and optimization of electrically conductive composites tailored for diverse green technology applications.