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Title: Calculation of the radial electric field from a modified Ohm's law

Abstract

A modified Ohm's Law, derived from the conservation of deuterium and carbon ions and electron momentum and the requirement for charge neutrality, yields an expression for the radial electric field, Er, in the edge pedestal region in terms of the motional electric field due to the carbon and deuterium ion rotation velocities as well as pressure gradients and the radial plasma current. This analytical Ohm's Law model for Er is first shown to be consistent with the conventional "experimental" electric field calculated from the carbon radial momentum balance using experimental carbon rotation and pressure gradient measurements when experimental profiles are used to evaluate the Ohm's Law in three DIII-D [Luxon, Nucl. Fusion 42, 614 (2002)] representative discharges (for L-mode, H-mode, and Resonant Magnetic Perturbation operating regimes). In order to test the practical predictive ability of the modified Ohm's Law, the calculations were repeated using rotation velocities calculated with neoclassical rotation models instead of measured rotation velocities. The Ohm's Law predicted Er using theoretical rotation velocities did not agree with the "experimental" Er as well as the Ohm's Law prediction using experimental rotation velocities, indicating that more accurate models for predicting edge rotation velocity are thus needed in order to havemore » a validated predictive model of Er in the plasma edge.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]
  1. Georgia Inst. of Technology, Atlanta, GA (United States)
  2. General Atomics, San Diego, CA (United States)
Publication Date:
Research Org.:
Georgia Inst. of Technology, Atlanta, GA (United States). Georgia Tech Research Corp. (GTRC)
Sponsoring Org.:
USDOE
OSTI Identifier:
1465476
Alternate Identifier(s):
OSTI ID: 1361723
Grant/Contract Number:  
AC03-99ER54463; FEFG01-ER54538; AC03-00ER54463; FG01-ER54538
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 1; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; H mode; L mode; rotation measurement; temperature measurement; velocity measurement; carbon; toroidal plasma confinement; perturbation theory; viscosity; electric fields

Citation Formats

Wilks, T. M., Stacey, W. M., and Evans, T. E. Calculation of the radial electric field from a modified Ohm's law. United States: N. p., 2017. Web. doi:10.1063/1.4973599.
Wilks, T. M., Stacey, W. M., & Evans, T. E. Calculation of the radial electric field from a modified Ohm's law. United States. https://doi.org/10.1063/1.4973599
Wilks, T. M., Stacey, W. M., and Evans, T. E. Tue . "Calculation of the radial electric field from a modified Ohm's law". United States. https://doi.org/10.1063/1.4973599. https://www.osti.gov/servlets/purl/1465476.
@article{osti_1465476,
title = {Calculation of the radial electric field from a modified Ohm's law},
author = {Wilks, T. M. and Stacey, W. M. and Evans, T. E.},
abstractNote = {A modified Ohm's Law, derived from the conservation of deuterium and carbon ions and electron momentum and the requirement for charge neutrality, yields an expression for the radial electric field, Er, in the edge pedestal region in terms of the motional electric field due to the carbon and deuterium ion rotation velocities as well as pressure gradients and the radial plasma current. This analytical Ohm's Law model for Er is first shown to be consistent with the conventional "experimental" electric field calculated from the carbon radial momentum balance using experimental carbon rotation and pressure gradient measurements when experimental profiles are used to evaluate the Ohm's Law in three DIII-D [Luxon, Nucl. Fusion 42, 614 (2002)] representative discharges (for L-mode, H-mode, and Resonant Magnetic Perturbation operating regimes). In order to test the practical predictive ability of the modified Ohm's Law, the calculations were repeated using rotation velocities calculated with neoclassical rotation models instead of measured rotation velocities. The Ohm's Law predicted Er using theoretical rotation velocities did not agree with the "experimental" Er as well as the Ohm's Law prediction using experimental rotation velocities, indicating that more accurate models for predicting edge rotation velocity are thus needed in order to have a validated predictive model of Er in the plasma edge.},
doi = {10.1063/1.4973599},
journal = {Physics of Plasmas},
number = 1,
volume = 24,
place = {United States},
year = {Tue Jan 17 00:00:00 EST 2017},
month = {Tue Jan 17 00:00:00 EST 2017}
}

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Cited by: 7 works
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Works referenced in this record:

Non-diffusive transport in the tokamak edge pedestal
journal, October 2012


X-transport: A baseline nonambipolar transport in a diverted tokamak plasma edge
journal, September 2002

  • Chang, C. S.; Kue, Seunghoe; Weitzner, H.
  • Physics of Plasmas, Vol. 9, Issue 9
  • DOI: 10.1063/1.1490348

Model of L to H -Mode Transition in Tokamak
journal, May 1988


Inclusion of ion orbit loss and intrinsic rotation in plasma fluid rotation theory
journal, January 2016

  • Stacey, W. M.; Wilks, T. M.
  • Physics of Plasmas, Vol. 23, Issue 1
  • DOI: 10.1063/1.4939884

Intrinsic momentum generation by a combined neoclassical and turbulence mechanism in diverted DIII-D plasma edge
journal, September 2014

  • Seo, Janghoon; Chang, C. S.; Ku, S.
  • Physics of Plasmas, Vol. 21, Issue 9
  • DOI: 10.1063/1.4894242

Neoclassical conductivity and bootstrap current formulas for general axisymmetric equilibria and arbitrary collisionality regime
journal, July 1999

  • Sauter, O.; Angioni, C.; Lin-Liu, Y. R.
  • Physics of Plasmas, Vol. 6, Issue 7
  • DOI: 10.1063/1.873240

Physics and scaling of the H-mode pedestal
journal, May 2000


Intrinsic rotation produced by ion orbit loss and X-loss
journal, November 2012

  • Stacey, W. M.; Boedo, J. A.; Evans, T. E.
  • Physics of Plasmas, Vol. 19, Issue 11
  • DOI: 10.1063/1.4768424

Measurements of the deuterium ion toroidal rotation in the DIII-D tokamak and comparison to neoclassical theory
journal, May 2012

  • Grierson, B. A.; Burrell, K. H.; Heidbrink, W. W.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.3694656

Structure in the Edge Plasma Profiles in Tokamaks: Structure in the Edge Plasma Profiles in Tokamaks
journal, June 2014


Thermal ion orbit loss and radial electric field in DIII-D
journal, August 2015

  • deGrassie, J. S.; Boedo, J. A.; Grierson, B. A.
  • Physics of Plasmas, Vol. 22, Issue 8
  • DOI: 10.1063/1.4928558

Viscous damping of toroidal angular momentum in tokamaks
journal, September 2014


Measurement of the transverse Spitzer resistivity during collisional magnetic reconnection
journal, January 2003

  • Trintchouk, F.; Yamada, M.; Ji, H.
  • Physics of Plasmas, Vol. 10, Issue 1
  • DOI: 10.1063/1.1528612

Active spectroscopic measurements of the bulk deuterium properties in the DIII-D tokamak (invited)
journal, October 2012

  • Grierson, B. A.; Burrell, K. H.; Chrystal, C.
  • Review of Scientific Instruments, Vol. 83, Issue 10
  • DOI: 10.1063/1.4739239

Extension of neoclassical rotation theory for tokamaks to realistically account for the geometry of magnetic flux surfaces
journal, March 2013


Intrinsic toroidal velocity near the edge of DIII-D H-mode plasmas
journal, July 2009


Fusion Plasma Physics
book, August 2012


Interpretation of rotation and momentum transport in the DIII-D edge plasma and comparison with neoclassical theory
journal, May 2014


Ion Particle Transport in the Tokamak Edge Plasma
journal, March 2008


High-accuracy characterization of the edge radial electric field at ASDEX Upgrade
journal, April 2013


On the spatial structure of solitary radial electric field at the plasma edge in toroidal confinement devices
journal, June 2015


Radial current in a tokamak caused by a biased electrode
journal, February 1992


Analysis of toroidal phasing of resonant magnetic perturbation effects on edge transport in the DIII-D tokamak
journal, May 2013

  • Wilks, T. M.; Stacey, W. M.; Evans, T. E.
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4804350

A neoclassical calculation of toroidal rotation profiles and comparison with DIII-D measurements
journal, June 2006

  • Stacey, W. M.; Johnson, R. W.; Mandrekas, J.
  • Physics of Plasmas, Vol. 13, Issue 6
  • DOI: 10.1063/1.2212391

Kinetic neoclassical transport in the H-mode pedestal
journal, July 2014

  • Battaglia, D. J.; Burrell, K. H.; Chang, C. S.
  • Physics of Plasmas, Vol. 21, Issue 7
  • DOI: 10.1063/1.4886803

Benchmarking Tokamak edge modelling codes
journal, March 2005


Extension of the flow-rate-of-strain tensor formulation of plasma rotation theory to non-axisymmetric tokamaks
journal, June 2015


Understanding transport barriers through modelling
journal, April 2004


Bifurcation of poloidal rotation and suppression of turbulent fluctuations: A model for the L–H transition in tokamaks
journal, June 1990

  • Shaing, K. C.; Crume, E. C.; Houlberg, W. A.
  • Physics of Fluids B: Plasma Physics, Vol. 2, Issue 6
  • DOI: 10.1063/1.859473

Interpretation of edge pedestal rotation measurements in DIII-D
journal, January 2008

  • Stacey, W. M.; Groebner, R. J.
  • Physics of Plasmas, Vol. 15, Issue 1
  • DOI: 10.1063/1.2830653

Neoclassical poloidal and toroidal rotation in tokamaks
journal, August 1991

  • Kim, Y. B.; Diamond, P. H.; Groebner, R. J.
  • Physics of Fluids B: Plasma Physics, Vol. 3, Issue 8
  • DOI: 10.1063/1.859671

Neoclassical transport of impurities in tokamak plasmas
journal, September 1981


Power transfer and current generation of fast ions with large‐ k θ waves in tokamak plasmas
journal, October 1995

  • Heikkinen, J. A.; Sipilä, S. K.
  • Physics of Plasmas, Vol. 2, Issue 10
  • DOI: 10.1063/1.871072

Burning plasma projections using drift-wave transport models and scalings for the H-mode pedestal
journal, December 2003


Extension and comparison of neoclassical models for poloidal rotation in tokamaks
journal, January 2008


Numerical study of neoclassical plasma pedestal in a tokamak geometry
journal, May 2004

  • Chang, C. S.; Ku, Seunghoe; Weitzner, H.
  • Physics of Plasmas, Vol. 11, Issue 5
  • DOI: 10.1063/1.1707024

The physics of edge resonant magnetic perturbations in hot tokamak plasmas
journal, May 2006

  • Evans, T. E.; Burrell, K. H.; Fenstermacher, M. E.
  • Physics of Plasmas, Vol. 13, Issue 5
  • DOI: 10.1063/1.2177657

Improvements to an ion orbit loss calculation in the tokamak edge
journal, December 2016

  • Wilks, T. M.; Stacey, W. M.
  • Physics of Plasmas, Vol. 23, Issue 12
  • DOI: 10.1063/1.4968219

Rotation and impurity transport in a tokamak plasma with directed neutral-beam injection
journal, April 1985


ELM mitigation techniques
journal, July 2013


Design and operation of the multipulse Thomson scattering diagnostic on DIII‐D (invited)
journal, October 1992

  • Carlstrom, T. N.; Campbell, G. L.; DeBoo, J. C.
  • Review of Scientific Instruments, Vol. 63, Issue 10
  • DOI: 10.1063/1.1143545

Collective electric field effects on the confinement of fast ions in tokamaks
journal, April 2006

  • McClements, K. G.; Thyagaraja, A.
  • Physics of Plasmas, Vol. 13, Issue 4
  • DOI: 10.1063/1.2188401

The role of radial particle pinches in ELM suppression by resonant magnetic perturbations
journal, January 2011


Bootstrap current and neoclassical transport in tokamaks of arbitrary collisionality and aspect ratio
journal, September 1997

  • Houlberg, W. A.; Shaing, K. C.; Hirshman, S. P.
  • Physics of Plasmas, Vol. 4, Issue 9
  • DOI: 10.1063/1.872465

Interpretation of changes in diffusive and non-diffusive transport in the edge plasma during pedestal buildup following a low-high transition in DIII-D
journal, January 2013

  • Stacey, W. M.; Sayer, M. -H.; Floyd, J. -P.
  • Physics of Plasmas, Vol. 20, Issue 1
  • DOI: 10.1063/1.4775601

H-mode pedestal characteristics in ITER shape discharges on DIII-D
journal, March 1999


Suppression of turbulence and transport by sheared flow
journal, January 2000


Neoclassical plasma viscosity and transport processes in non-axisymmetric tori
journal, November 2015


Overview of ITER-FEAT - The future international burning plasma experiment
journal, October 2001


A fully implicit, time dependent 2-D fluid code for modeling tokamak edge plasmas
journal, December 1992


Plasma Edge Physics with B2-Eirene
journal, February 2006

  • Schneider, R.; Bonnin, X.; Borrass, K.
  • Contributions to Plasma Physics, Vol. 46, Issue 1-2
  • DOI: 10.1002/ctpp.200610001

Works referencing / citing this record:

Influence of mean radial electric field on particle transport induced by RMPs in tokamak plasmas
journal, June 2018

  • Chen, Dunqiang; Xu, Yingfeng; Wang, Shaojie
  • Physics of Plasmas, Vol. 25, Issue 6
  • DOI: 10.1063/1.5018662

A Particle-, Momentum-, and Energy-Conserving Fluid Transport Theory for the Tokamak Plasma Edge
journal, May 2019


Extended fluid transport theory in the tokamak plasma edge
journal, May 2017


Analysis Of Equilibrium And Turbulent Fluxes Across The Separatrix In A Gyrokinetic Simulation [Supplementary Data]
dataset, April 2018

  • Charidakos, Ioannis Keramidas; Myra, James; Parker, Scott
  • Zenodo-Supplementary information for journal article at DOI: 10.1063/1.5037723, 15 files (333.7 kB)
  • DOI: 10.5281/zenodo.1230040

Analysis of equilibrium and turbulent fluxes across the separatrix in a gyrokinetic simulation
journal, July 2018

  • Keramidas Charidakos, I.; Myra, J. R.; Parker, S.
  • Physics of Plasmas, Vol. 25, Issue 7
  • DOI: 10.1063/1.5037723

Analysis Of Equilibrium And Turbulent Fluxes Across The Separatrix In A Gyrokinetic Simulation [Supplementary Data]
dataset, April 2018

  • Charidakos, Ioannis Keramidas; Myra, James; Parker, Scott
  • Zenodo-Supplementary information for journal article at DOI: 10.1063/1.5037723, 15 files (333.7 kB)
  • DOI: 10.5281/zenodo.1230039

Analysis of equilibrium and turbulent fluxes across the separatrix in a gyrokinetic simulation
text, January 2018