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Stationary self-consistent distributions for a charged particle beam in the longitudinal magnetic field. / Drivotin, O.I.; Ovsyannikov, D.A.

In: Physics of Particles and Nuclei, Vol. 47, No. 5, 2016, p. 884-913.

Research output: Contribution to journal › Article › peer-review

Harvard

Drivotin, OI & Ovsyannikov, DA 2016, 'Stationary self-consistent distributions for a charged particle beam in the longitudinal magnetic field', Physics of Particles and Nuclei, vol. 47, no. 5, pp. 884-913. https://doi.org/10.1134/S1063779616050038

APA

Drivotin, O. I., & Ovsyannikov, D. A. (2016). Stationary self-consistent distributions for a charged particle beam in the longitudinal magnetic field. Physics of Particles and Nuclei, 47(5), 884-913. https://doi.org/10.1134/S1063779616050038

Vancouver

Drivotin OI, Ovsyannikov DA. Stationary self-consistent distributions for a charged particle beam in the longitudinal magnetic field. Physics of Particles and Nuclei. 2016;47(5):884-913. https://doi.org/10.1134/S1063779616050038

Author

Drivotin, O.I. ; Ovsyannikov, D.A. / Stationary self-consistent distributions for a charged particle beam in the longitudinal magnetic field. In: Physics of Particles and Nuclei. 2016 ; Vol. 47, No. 5. pp. 884-913.

BibTeX

@article{42915947437942aeb81fe8b8c1a1082c,
title = "Stationary self-consistent distributions for a charged particle beam in the longitudinal magnetic field",
abstract = "{\textcopyright} 2016, Pleiades Publishing, Ltd.A review of analytical solutions of the Vlasov equation for a beam of charged particles is given. These results are analyzed on the basis of a unified approach developed by the authors. In the context of this method, a space of integrals of motion is introduced in which the integrals of motion of particles are considered as coordinates. In this case, specifying a self-consistent distribution is reduced to defining a distribution density in this space. This approach allows us to simplify the construction and analysis of different self-consistent distributions. In particular, it is possible, in some cases, to derive new solutions by considering linear combinations of well-known solutions. This approach also makes it possible in many cases to give a visual geometric representation of self-consistent distributions in the space of integrals of motion.",
author = "O.I. Drivotin and D.A. Ovsyannikov",
year = "2016",
doi = "10.1134/S1063779616050038",
language = "English",
volume = "47",
pages = "884--913",
journal = "Physics of Particles and Nuclei",
issn = "1063-7796",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "5",

}

RIS

TY - JOUR

T1 - Stationary self-consistent distributions for a charged particle beam in the longitudinal magnetic field

AU - Drivotin, O.I.

AU - Ovsyannikov, D.A.

PY - 2016

Y1 - 2016

N2 - © 2016, Pleiades Publishing, Ltd.A review of analytical solutions of the Vlasov equation for a beam of charged particles is given. These results are analyzed on the basis of a unified approach developed by the authors. In the context of this method, a space of integrals of motion is introduced in which the integrals of motion of particles are considered as coordinates. In this case, specifying a self-consistent distribution is reduced to defining a distribution density in this space. This approach allows us to simplify the construction and analysis of different self-consistent distributions. In particular, it is possible, in some cases, to derive new solutions by considering linear combinations of well-known solutions. This approach also makes it possible in many cases to give a visual geometric representation of self-consistent distributions in the space of integrals of motion.

AB - © 2016, Pleiades Publishing, Ltd.A review of analytical solutions of the Vlasov equation for a beam of charged particles is given. These results are analyzed on the basis of a unified approach developed by the authors. In the context of this method, a space of integrals of motion is introduced in which the integrals of motion of particles are considered as coordinates. In this case, specifying a self-consistent distribution is reduced to defining a distribution density in this space. This approach allows us to simplify the construction and analysis of different self-consistent distributions. In particular, it is possible, in some cases, to derive new solutions by considering linear combinations of well-known solutions. This approach also makes it possible in many cases to give a visual geometric representation of self-consistent distributions in the space of integrals of motion.

U2 - 10.1134/S1063779616050038

DO - 10.1134/S1063779616050038

M3 - Article

VL - 47

SP - 884

EP - 913

JO - Physics of Particles and Nuclei

JF - Physics of Particles and Nuclei

SN - 1063-7796

IS - 5

ER -

ID: 7966605