2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21418We study the equilibrium, oscillatory and transport properties of a chain of charged particles which interact with each other via the Coulomb and power-like repulsive interactions. Exact, analytical expressions for the energy of the ground state, interparticle distances, and vibration spectrum are derived, and the stability criterion for a chain with equidistant particles is established. We also consider the phenomenon of deterministic transport of a chain in a ratchet potential subject to a longitudinal alternating electric field.25 pages, 6 figures, submitted to Phys. Rev. BSoft Condensed Mattertext