2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217792This article reviews recent progress on the geometry dependence of Casimir interactions and presents some applications to nanosystems. The article consists of three parts: (i) Some examples for geometry dependence: structured surfaces, cylinders, and spheres. (ii) Material dependence: Casimir interaction between nano-spheres. (iii) Casimir force induced non-linear dynamics, ratchet effects.37 pages, 13 figuresStatistical Mechanicstext