On the radiative and multiple reflection corrections of the van der Waals force between two particles/atoms: dipolar contribution

We present a theoretical formalism based on fluctuational electrodynamics and the Maxwell-stress tensor for describing impact of radiative multiple reflections corrections van der Waals force between two nanoscale spherical particles pair atoms in dipolar approximation. Particularly, we examine forces metallic whose dielectric constant is represented by Drude model, which their material response has phononic resonances, with dynamic polarizabilities containing single resonant frequency. For particles, relation to case aforementioned effects are omitted, unchanged polarizabilities, whereas mechanism perturbs about few percentage points when spheres nearly touch each other. In contrast case, modify peculiarly comparison where such neglected; there critical interparticle separation that divides regimes: smaller (larger) than this distance (greater) without these corrections. Moreover, practically effect taken into account. atomic deviation due interatomic corresponds twice radius, can reach seventeen percent at 2.5 times radius. This work might have implications concerning fine-tuning experimental outcomes forces.