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

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

в: Physics of Particles and Nuclei, Том 47, № 5, 2016, стр. 884-913.

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

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