A comprehensive conductivity model for drift and micro-tearing modes
Abstract
The parallel electrical conductivity is a crucial parameter in the study of the linear stability of drift-modes like the micro-tearing mode (MTM). The conductivity enters by closing the electromagnetic tearing layer equations. Recent progress in the understanding of the pedestal suggests that the MTM could play an important role in its structure and evolution. For this reason, we revisit and improve previous model conductivities. This parameter is generally derived from the linearized drift kinetic equation. In the past literature, it has been computed using either simplified collision operators or neglecting the spatial dependence away from the rational surface. A fully consistent expression for the conductivity that would accurately model the pedestal has not been available. By applying a novel variational procedure and with the full Fokker Plank collision operator, including electron–electron collisions, we compute a closed expression for the parallel electrical conductivity in the form of a rational function.
- Publication Date:
- Research Org.:
- Univ. of Texas, Austin, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1785271
- Alternate Identifier(s):
- OSTI ID: 1631388
- Grant/Contract Number:
- FG02-04ER54742; DOE ER54742
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 27; Journal Issue: 6; 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; Operator theory; Atomic and molecular collisions; Magnetic fields; Plasma confinement; Electrical conductivity; Calculus of variations; Linear stability analysis
Citation Formats
Larakers, J. L., Hazeltine, R. D., and Mahajan, S. M. A comprehensive conductivity model for drift and micro-tearing modes. United States: N. p., 2020.
Web. doi:10.1063/5.0006215.
Larakers, J. L., Hazeltine, R. D., & Mahajan, S. M. A comprehensive conductivity model for drift and micro-tearing modes. United States. https://doi.org/10.1063/5.0006215
Larakers, J. L., Hazeltine, R. D., and Mahajan, S. M. Mon .
"A comprehensive conductivity model for drift and micro-tearing modes". United States. https://doi.org/10.1063/5.0006215. https://www.osti.gov/servlets/purl/1785271.
@article{osti_1785271,
title = {A comprehensive conductivity model for drift and micro-tearing modes},
author = {Larakers, J. L. and Hazeltine, R. D. and Mahajan, S. M.},
abstractNote = {The parallel electrical conductivity is a crucial parameter in the study of the linear stability of drift-modes like the micro-tearing mode (MTM). The conductivity enters by closing the electromagnetic tearing layer equations. Recent progress in the understanding of the pedestal suggests that the MTM could play an important role in its structure and evolution. For this reason, we revisit and improve previous model conductivities. This parameter is generally derived from the linearized drift kinetic equation. In the past literature, it has been computed using either simplified collision operators or neglecting the spatial dependence away from the rational surface. A fully consistent expression for the conductivity that would accurately model the pedestal has not been available. By applying a novel variational procedure and with the full Fokker Plank collision operator, including electron–electron collisions, we compute a closed expression for the parallel electrical conductivity in the form of a rational function.},
doi = {10.1063/5.0006215},
journal = {Physics of Plasmas},
number = 6,
volume = 27,
place = {United States},
year = {Mon Jun 01 00:00:00 EDT 2020},
month = {Mon Jun 01 00:00:00 EDT 2020}
}
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