Numerical study of precession of circulating particles in tokamaks

O. S. Burdo; Ya. I. Kolesnichenko; Seppo Sipilä; Yu. V. Yakovenko

doi:10.1017/S0022377810000735

Numerical study of precession of circulating particles in tokamaks

O. S. Burdo^*, Ya. I. Kolesnichenko, Seppo Sipilä, Yu. V. Yakovenko

^*Corresponding author for this work

National Academy of Sciences of Ukraine

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

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Abstract

The toroidal precession of circulating particles in tokamaks is studied numerically. The dependence of the precession frequency on the magnetic shear, the elongation of the plasma cross-section, and plasma pressure is investigated. It is concluded that the analytical expressions for the precession frequency by Kolesnichenko et al. (2003 Phys. Plasmas 10, 1449-1457) represent a reasonable approximation for the limit cases of tokamaks with circular cross-section and shearless tokamaks with elliptical cross-section. The precession frequency was calculated for non-circular tokamaks with magnetic shear. Based on the numerical results, an interpolation formula for the precession frequency is proposed.

Original language	English
Pages (from-to)	559-569
Number of pages	11
Journal	Journal of Plasma Physics
Volume	77
Issue number	4
DOIs	https://doi.org/10.1017/S0022377810000735
Publication status	Published - Aug 2011
MoE publication type	A1 Journal article-refereed

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OSCILLATIONS
IONS

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10.1017/S0022377810000735

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title = "Numerical study of precession of circulating particles in tokamaks",

abstract = "The toroidal precession of circulating particles in tokamaks is studied numerically. The dependence of the precession frequency on the magnetic shear, the elongation of the plasma cross-section, and plasma pressure is investigated. It is concluded that the analytical expressions for the precession frequency by Kolesnichenko et al. (2003 Phys. Plasmas 10, 1449-1457) represent a reasonable approximation for the limit cases of tokamaks with circular cross-section and shearless tokamaks with elliptical cross-section. The precession frequency was calculated for non-circular tokamaks with magnetic shear. Based on the numerical results, an interpolation formula for the precession frequency is proposed.",

keywords = "OSCILLATIONS, IONS",

author = "Burdo, {O. S.} and Kolesnichenko, {Ya. I.} and Seppo Sipil{\"a} and Yakovenko, {Yu. V.}",

year = "2011",

month = aug,

doi = "10.1017/S0022377810000735",

language = "English",

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T1 - Numerical study of precession of circulating particles in tokamaks

AU - Burdo, O. S.

AU - Kolesnichenko, Ya. I.

AU - Sipilä, Seppo

AU - Yakovenko, Yu. V.

PY - 2011/8

Y1 - 2011/8

N2 - The toroidal precession of circulating particles in tokamaks is studied numerically. The dependence of the precession frequency on the magnetic shear, the elongation of the plasma cross-section, and plasma pressure is investigated. It is concluded that the analytical expressions for the precession frequency by Kolesnichenko et al. (2003 Phys. Plasmas 10, 1449-1457) represent a reasonable approximation for the limit cases of tokamaks with circular cross-section and shearless tokamaks with elliptical cross-section. The precession frequency was calculated for non-circular tokamaks with magnetic shear. Based on the numerical results, an interpolation formula for the precession frequency is proposed.

AB - The toroidal precession of circulating particles in tokamaks is studied numerically. The dependence of the precession frequency on the magnetic shear, the elongation of the plasma cross-section, and plasma pressure is investigated. It is concluded that the analytical expressions for the precession frequency by Kolesnichenko et al. (2003 Phys. Plasmas 10, 1449-1457) represent a reasonable approximation for the limit cases of tokamaks with circular cross-section and shearless tokamaks with elliptical cross-section. The precession frequency was calculated for non-circular tokamaks with magnetic shear. Based on the numerical results, an interpolation formula for the precession frequency is proposed.

KW - OSCILLATIONS

KW - IONS

U2 - 10.1017/S0022377810000735

DO - 10.1017/S0022377810000735

M3 - Article

SN - 0022-3778

VL - 77

SP - 559

EP - 569

JO - Journal of Plasma Physics

JF - Journal of Plasma Physics

IS - 4

ER -

Numerical study of precession of circulating particles in tokamaks

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