Построение областей устойчивости в пространстве параметров в ловушке Пеннинга с вращающимся электрическим полем

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Построение областей устойчивости в пространстве параметров в ловушке Пеннинга с вращающимся электрическим полем. / Ovsyannikov, A. D.; Шлокова, Анна Ильинична ; Комарова, Алёна Алексеевна.

в: Bulletin of Irkutsk State University, Series Mathematics, Том 35, 2021, стр. 49-59.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{f245281bbd924bafa05211ae33eaab1b,

title = "Построение областей устойчивости в пространстве параметров в ловушке Пеннинга с вращающимся электрическим полем",

abstract = "The dynamics of particles in a Penning trap with a rotating dipole electric field and a buffer gas is considered. A transition is made to a coordinate system that rotates together with the electric field, which makes it possible to reduce the system of ordinary differential equations with periodic coefficients to a linear differential system with a constant matrix. Using one of the modifications of the Hurwitz stability criterion-the Lienard-Chipart criterion, the stability analysis (according to Lyapunov) of particle motions in the trap is carried out and the stability regions in the trap parameter space are found.Calculations were carried out for a trap with “typical” main parameters. The biggest degree of stability was obtained at frequencies of rotation of the field close to “resonant”. Small relative deviations from these frequencies led to a significant decrease in the degree of stability and loss of stability at “small” values of the amplitude of the rotating field. At the same time, it was possible to partially compensate this by increasing the amplitude of the rotating field, but only to certain limits, after which stability was again lost.",

keywords = "Charged particle dynamics, Penning trap, Penning-Malmberg-Surko trap, Rotating wall, Stability, Charged particle dynamics, Penning trap, Penning-Malmberg-Surko trap, Rotating wall, Stability, charged particle dynamics, DYNAMICS, stability, rotating wall",

author = "Ovsyannikov, {A. D.} and Шлокова, {Анна Ильинична} and Комарова, {Алёна Алексеевна}",

year = "2021",

doi = "10.26516/1997-7670.2021.35.49",

language = "русский",

volume = "35",

pages = "49--59",

journal = "Bulletin of Irkutsk State University, Series Mathematics",

issn = "1997-7670",

publisher = "Иркутский государственный университет",

}

RIS

TY - JOUR

T1 - Построение областей устойчивости в пространстве параметров в ловушке Пеннинга с вращающимся электрическим полем

AU - Ovsyannikov, A. D.

AU - Шлокова, Анна Ильинична

AU - Комарова, Алёна Алексеевна

PY - 2021

Y1 - 2021

N2 - The dynamics of particles in a Penning trap with a rotating dipole electric field and a buffer gas is considered. A transition is made to a coordinate system that rotates together with the electric field, which makes it possible to reduce the system of ordinary differential equations with periodic coefficients to a linear differential system with a constant matrix. Using one of the modifications of the Hurwitz stability criterion-the Lienard-Chipart criterion, the stability analysis (according to Lyapunov) of particle motions in the trap is carried out and the stability regions in the trap parameter space are found.Calculations were carried out for a trap with “typical” main parameters. The biggest degree of stability was obtained at frequencies of rotation of the field close to “resonant”. Small relative deviations from these frequencies led to a significant decrease in the degree of stability and loss of stability at “small” values of the amplitude of the rotating field. At the same time, it was possible to partially compensate this by increasing the amplitude of the rotating field, but only to certain limits, after which stability was again lost.

AB - The dynamics of particles in a Penning trap with a rotating dipole electric field and a buffer gas is considered. A transition is made to a coordinate system that rotates together with the electric field, which makes it possible to reduce the system of ordinary differential equations with periodic coefficients to a linear differential system with a constant matrix. Using one of the modifications of the Hurwitz stability criterion-the Lienard-Chipart criterion, the stability analysis (according to Lyapunov) of particle motions in the trap is carried out and the stability regions in the trap parameter space are found.Calculations were carried out for a trap with “typical” main parameters. The biggest degree of stability was obtained at frequencies of rotation of the field close to “resonant”. Small relative deviations from these frequencies led to a significant decrease in the degree of stability and loss of stability at “small” values of the amplitude of the rotating field. At the same time, it was possible to partially compensate this by increasing the amplitude of the rotating field, but only to certain limits, after which stability was again lost.

KW - Charged particle dynamics

KW - Penning trap

KW - Penning-Malmberg-Surko trap

KW - Rotating wall

KW - Stability

KW - Charged particle dynamics

KW - Penning trap

KW - Penning-Malmberg-Surko trap

KW - Rotating wall

KW - Stability

KW - charged particle dynamics

KW - DYNAMICS

KW - stability

KW - rotating wall

UR - http://www.scopus.com/inward/record.url?scp=85103615314&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/0a7a19e4-9856-3801-87f2-65ed05b67159/

U2 - 10.26516/1997-7670.2021.35.49

DO - 10.26516/1997-7670.2021.35.49

M3 - статья

AN - SCOPUS:85103615314

VL - 35

SP - 49

EP - 59

JO - Bulletin of Irkutsk State University, Series Mathematics

JF - Bulletin of Irkutsk State University, Series Mathematics

SN - 1997-7670

ER -

ID: 76055172