Transport Barrier as a Bifurcation of the Equilibrium
of a Tokamak Plasma

V. I. Ilgisonis and Yu. I. Pozdnyakov

Institute of Nuclear Fusion, Russian Research Centre Kurchatov Institute, pl. Kurchatova 1, Moscow, Russia

Received August 23, 2001

Abstract—The phenomenon of the internal transport barrier in a tokamak plasma is interpreted as a bifurcation
of the plasma equilibrium. An expression describing the change in the plasma pressure due to the buildup of the
barrier is derived as a functional dependent on the parameters of the original plasma equilibrium and the plasma
rotation velocity within the barrier. This expression is applied to a circular cross section tokamak, specifically,
the T-10 device. © 2002 MAIK “Nauka/Interperiodica”.

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