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Derivation of radial electric fields using kinetic theory in tokamak

Published online by Cambridge University Press:  16 January 2013

K. NOORI ,
P. KHORSHID  and
M. AFSARI
K. NOORI
Affiliation:
Department of Physics, Azarbaijan University of Tarbiat Moallem, Tabriz, Iran
P. KHORSHID
Affiliation:
Department of Physics, Islamic Azad University, Mashhad Branch, Mashhad, Iran (khorshid@mshdiau.ac.ir)
M. AFSARI
Affiliation:
Department of Physics, Azarbaijan University of Tarbiat Moallem, Tabriz, Iran
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Abstract

In the current study, radial electric field with fluid equations has been calculated. The calculation started with kinetic theory, Boltzmann and momentum balance equations were derived, the negligible terms compared with others were eliminated, and the radial electric field expression in steady state was derived. As mentioned in previous researches, this expression includes all types of particles such as electrons, ions, and neutrals. The consequence of this solution reveals that three major driving forces contribute in radial electric field: radial pressure gradient, poloidal rotation, and toroidal rotation; rotational terms mean Lorentz force. Therefore, radial electric field and plasma rotation are connected through the radial momentum balance.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 5 , October 2013 , pp. 513 - 517
Copyright
Copyright © Cambridge University Press 2013 

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References

Burrell, K. H. 1996 Effects of E × B velocity shear and magnetic shear on turbulence and transport in magnetic confinement devices. Phys. Plasmas 4, 1499–1518.CrossRefGoogle Scholar
Ida, K. 1998 Experimental studies of the physical mechanism determining the radial electric field and its radial structure in a toroidal plasma. Plasma Phys. Control. Fusion 40, 1429–1488.CrossRefGoogle Scholar
Krall, N. A. and Trivelpiece, W. A. 1932 Principles of Plasma Physics. Kuala Lumpur: McGraw-Hill.Google Scholar
Raizer, Y. P. 1991 Gas Discharge Physics. Berlin, Germany: Springer-Verlag.CrossRefGoogle Scholar
Rozhansky, V. and Tendler, M. 1992 The effect of the radial electric field on the L–H transitions in tokamaks. Phys. Fluids B 4, 1877–1889.CrossRefGoogle Scholar
Stacey, W. M. 2005 Fusion Plasma Physics. Atlanta, GA: Wiley-VCH.CrossRefGoogle Scholar
Stacey, W. M. 2006 Rotation velocities and radial electric field in the plasma edge. Contrib. Plasma Phys. 46, 597–603.CrossRefGoogle Scholar
Stacey, W. M. 2008 Extension and comparison of neoclassical models for poloidal rotation in tokamaks. Phys. Plasmas 15, 012501-1–7.CrossRefGoogle Scholar
Tendler, M., Van Oost, G., Krlin, L., Panek, R. and Stockel, J. 2004 Physics of transport barriers. Braz. J. Phys. 34, 1822–1827.CrossRefGoogle Scholar
Van Oost, G. 2008 Radial electric fields and their importance for improved confinement: experimental results. Trans. Fusion Sci. Technol. 53, 356–366.Google Scholar