Ground state, vibrational spectrum and deterministic transport of a chain of charged particles

TL;DR

This paper provides analytical insights into the ground state, vibrational spectrum, and transport phenomena of a charged particle chain with Coulomb and repulsive interactions, including stability criteria and deterministic transport behavior.

Contribution

It derives exact expressions for ground state energy, interparticle distances, and vibration spectrum, and analyzes the stability and transport properties of the chain.

Findings

Analytical expressions for ground state energy and vibrational spectrum.

Stability criterion for equidistant particle chains.

Demonstration of deterministic transport in a ratchet potential.

Abstract

We 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.