NDLI: Simulation of internal transport barriers by means of the canonical profile transport model

Content Provider	Springer Nature Link
Author	Dnestrovskij, Yu. N. Cherkasov, S. V. Dnestrovskij, A. Yu. Lysenko, S. E. Walsh, M. J.
Copyright Year	2006
Abstract	Models with critical gradients are widely used to describe energy balance in L-mode discharges. The so-called first critical gradient can be found from the canonical temperature profile. Here, it is suggested that discharge regimes with transport barriers can be described based on the idea of the second critical gradient. If, in a certain plasma region, the pressure gradient exceeds the second critical gradient, then the plasma bifurcates into a new state and a transport barrier forms in this region. This idea was implemented in a modified canonical profile transport model that makes it possible to describe the energy and particle balance in tokamak plasmas with arbitrary cross sections and aspect ratios. The magnitude of the second critical gradient was chosen by comparing the results calculated for several tokamak discharges with the experimental data. It is found that the second critical gradient is related to the magnetic shear s. The criterion of the transport barrier formation has the form (a $^{2}$/r)d/drln(p/p $_{ c }$) > z $_{0}$ (r), where r is the radial coordinate, a is the plasma minor radius, p is the plasma pressure, p $_{ c }$ is the canonical pressure profile, and the dimensionless function z $_{O}$(r) = C $_{O}$ + C $_{1}$ s (with C $_{0i }$ ∼1, C $_{0e }$ ∼3, and C $_{1i,e }$ ∼2) describes the difference between the first and second critical gradients. Simulations show that this criterion is close to that obtained experimentally in JET. The model constructed here is used to simulate internal transport barriers in the JET, TFTR, DIII-D, and MAST tokamaks. The possible dependence of the second critical gradient on the plasma parameters is discussed.
Starting Page	1
Ending Page	8
Page Count	8
File Format	PDF
ISSN	1063780X
Journal	Plasma Physics Reports
Volume Number	32
Issue Number	1
e-ISSN	15626938
Language	English
Publisher	Nauka/Interperiodica
Publisher Date	2006-01-01
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Atoms, Molecules, Clusters and Plasmas
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics

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