Abstract

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.

Original languageEnglish
Pages (from-to)754-757
Number of pages4
JournalPhysics of Particles and Nuclei Letters
Volume15
Issue number7
DOIs
Publication statusPublished - 1 Dec 2018

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particle beams
charged particles
traps
envelopes
trajectories
exponents
electric fields

Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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title = "Analysis and Modeling of the Charged Particle Beam Dynamics in the Charlton Trap",
abstract = "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.",
author = "Ovsyannikov, {A. D.} and Meshkov, {I. N.} and Ovsyannikov, {D. A.} and Eseev, {M. K.}",
year = "2018",
month = "12",
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doi = "10.1134/S1547477118070543",
language = "English",
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T1 - Analysis and Modeling of the Charged Particle Beam Dynamics in the Charlton Trap

AU - Ovsyannikov, A. D.

AU - Meshkov, I. N.

AU - Ovsyannikov, D. A.

AU - Eseev, M. K.

PY - 2018/12/1

Y1 - 2018/12/1

N2 - 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.

AB - 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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U2 - 10.1134/S1547477118070543

DO - 10.1134/S1547477118070543

M3 - Article

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JO - Physics of Particles and Nuclei Letters

JF - Physics of Particles and Nuclei Letters

SN - 1547-4771

IS - 7

ER -