Publication:
Analytical Solution to External Equilibrium Problem for Plasma with Elliptic Cross Section in a Tokamak

Дата
2021
Авторы
Chukashev, N. V.
Pustovitov, V. D.
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Научные группы
Организационные подразделения
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Институт лазерных и плазменных технологий
Стратегическая цель Института ЛаПлаз – стать ведущей научной школой и ядром развития инноваций по лазерным, плазменным, радиационным и ускорительным технологиям, с уникальными образовательными программами, востребованными на российском и мировом рынке образовательных услуг.
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Аннотация
© 2021, Pleiades Publishing, Ltd.Abstract: Expressions are obtained for the magnetic field created by the currents flowing in the tokamak plasma with elliptic cross section. The analytical approach is based on the Green function method, which ensures the exact separation of the desired solution for given boundary conditions and its correct asymptotic behavior at infinity. The system toroidicity is retained in the linear approximation, as it is done in the standard models of the equilibrium theory, but the magnetic field B at the plasma boundary is described with account for the second harmonic in the poloidal angle. This fact, as well as the noncircular shape of the plasma boundary, on which the inner and outer solutions for the field B must be matched, radically changes the nature of the problem. A detailed description of the techniques for including new elements into the general scheme is given. The result is presented in terms of the poloidal flux as a function of coordinates; its gradient determines the local values of the self field.
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Chukashev, N. V. Analytical Solution to External Equilibrium Problem for Plasma with Elliptic Cross Section in a Tokamak / Chukashev, N.V., Pustovitov, V.D. // Plasma Physics Reports. - 2021. - 47. - № 10. - P. 956-966. - 10.1134/S1063780X2110007X
URI
https://www.doi.org/10.1134/S1063780X2110007X
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85118699211&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000715824000002
 https://openrepository.mephi.ru/handle/123456789/24950
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