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

2003/05/15 by S. I. Denisov, E. S. Denisova
Mathematics · Physics and Astronomy · #Chain (unit) #Classical mechanics #Coulomb #Electric field #Equidistant #Force Microscopy Techniques and Applications #Ground state #Mathematics #Particle (ecology) #Physics #Potential energy #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Stability (learning theory) #Statistical physics #Vibration #cond-mat.soft #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevb.68.064301

published as Phys. Rev. B 68, 064301 (2003) · 25 pages, 6 figures, submitted to Phys. Rev. B

arxiv created 2003/05/15 · openalex publication_date 2003/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the equilibrium, oscillatory, and transport properties of a chain of charged particles which interact with each other via the Coulomb and powerlike 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.

Citations

• Collective Interaction-Driven Ratchet for Transporting Flux Quanta
• Energy relaxation in nonlinear one-dimensional lattices
• Discrete breathers

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