A Model of Peaked Density Profile and Inward Pinch in Tokamaks

Sanae I. Itoh

doi:10.1143/JPSJ.59.3431

A Model of Peaked Density Profile and Inward Pinch in Tokamaks

Sanae I. Itoh

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22 Citations (Scopus)

Abstract

A model theory of inward pinch and peaked density profile of ohmic discharges in the tokamak is presented. Ion anomalous viscosity in the presence of sheared rotation causes the drift across the magnetic field. Radial electric field, E_r, can cause an inward pinch of electrons as well. The ratio of viscosities and the diffusion coefficient, the Prandtl number, determines the structures of E_r and the density profile n(r) in a stationary state. In viscous plasmas, peaked profiles of both density and rotation velocity are expected. Reduction of edge neutrals changes the boundary condition and can induce further density peaking. Change of dE_r/dr propagates into the center, causing ion viscous heating associated with the damping of velocity shear.

Original language	English
Pages (from-to)	3431-3434
Number of pages	4
Journal	journal of the physical society of japan
Volume	59
Issue number	10
DOIs	https://doi.org/10.1143/JPSJ.59.3431
Publication status	Published - 1990
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1143/JPSJ.59.3431

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abstract = "A model theory of inward pinch and peaked density profile of ohmic discharges in the tokamak is presented. Ion anomalous viscosity in the presence of sheared rotation causes the drift across the magnetic field. Radial electric field, Er, can cause an inward pinch of electrons as well. The ratio of viscosities and the diffusion coefficient, the Prandtl number, determines the structures of Er and the density profile n(r) in a stationary state. In viscous plasmas, peaked profiles of both density and rotation velocity are expected. Reduction of edge neutrals changes the boundary condition and can induce further density peaking. Change of dEr/dr propagates into the center, causing ion viscous heating associated with the damping of velocity shear.",

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N2 - A model theory of inward pinch and peaked density profile of ohmic discharges in the tokamak is presented. Ion anomalous viscosity in the presence of sheared rotation causes the drift across the magnetic field. Radial electric field, Er, can cause an inward pinch of electrons as well. The ratio of viscosities and the diffusion coefficient, the Prandtl number, determines the structures of Er and the density profile n(r) in a stationary state. In viscous plasmas, peaked profiles of both density and rotation velocity are expected. Reduction of edge neutrals changes the boundary condition and can induce further density peaking. Change of dEr/dr propagates into the center, causing ion viscous heating associated with the damping of velocity shear.

AB - A model theory of inward pinch and peaked density profile of ohmic discharges in the tokamak is presented. Ion anomalous viscosity in the presence of sheared rotation causes the drift across the magnetic field. Radial electric field, Er, can cause an inward pinch of electrons as well. The ratio of viscosities and the diffusion coefficient, the Prandtl number, determines the structures of Er and the density profile n(r) in a stationary state. In viscous plasmas, peaked profiles of both density and rotation velocity are expected. Reduction of edge neutrals changes the boundary condition and can induce further density peaking. Change of dEr/dr propagates into the center, causing ion viscous heating associated with the damping of velocity shear.

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A Model of Peaked Density Profile and Inward Pinch in Tokamaks

Abstract

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