Physics of Particles and Nuclei Letters

, Volume 15, Issue 7, pp 754–757 | Cite as

Analysis and Modeling of the Charged Particle Beam Dynamics in the Charlton Trap

  • A. D. OvsyannikovEmail author
  • I. N. Meshkov
  • D. A. Ovsyannikov
  • M. K. Eseev
Beam Dynamics, Cooling Methods and New Methods of Particle Acceleration


The dynamics of charged particles in the Penning–Malmberg–Surco trap with a rotating electric field [1–3] (the Charlton trap) is investigated. Two different algorithms for determining Lyapunov characteristic exponents for solutions of a nonstationary system describing the dynamics of particles in a trap are constructed and realized. This allows us to construct approximate analytical solutions and analyze the behavior of the envelope of the particle beam, and not only of individual trajectories. The asymptotic stability of motions of charged particles is checked for a different choice of the system parameters and their relations.


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  1. 1.
    C. A. Isaac, “Motional sideband excitation using rotating electric fields,” Phys. Rev. A 87, 043415–1–7 (2013).ADSCrossRefGoogle Scholar
  2. 2.
    M. K. Eseev and I. N. Meshkov, “Traps for storing charged particles and antiparticles in high precision experiments,” Phys. Usp. 59, 304–317 (2016).ADSCrossRefGoogle Scholar
  3. 3.
    I. N. Meshkov, A. D. Ovsyannikov, D. A. Ovsyannikov, and M. K. Eseev, “Study of the stability of charged particle dynamics in a Penning-Malmberg-Surko trap with a rotating field,” Dokl. Phys. 62, 457–460 (2017). doi 10.1134/S1028335817100093ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • A. D. Ovsyannikov
    • 1
    Email author
  • I. N. Meshkov
    • 2
  • D. A. Ovsyannikov
    • 1
  • M. K. Eseev
    • 3
    • 4
  1. 1.St. Petersburg State UniversitySt. PetersburgRussia
  2. 2.Joint Institute for Nuclear ResearchDubna, Moscow oblastRussia
  3. 3.Laverov Federal Research Center for Integrated Studies of the ArcticRussian Academy of SciencesArkhangelskRussia
  4. 4.Lomonosov Northern (Arctic) Federal UniversityArkhangelskRussia

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