Pfirsch–Schlüter neoclassical heavy impurity transport in a rotating plasma

Belli, Emily A.; Candy, Jefferey M.; Angioni, C.

doi:10.1088/0741-3335/56/12/124002

Title: Pfirsch–Schlüter neoclassical heavy impurity transport in a rotating plasma

Abstract

In this paper, we extend previous analytic theories for the neoclassical transport of a trace heavy impurity in a rotating plasma in the Pfirsch-Schl¨uter regime. The complete diffusive and convective components of the ambipolar particle flux are derived. The solution is valid for arbitrary impurity charge and impurity Mach number and for general geometry. Inclusion of finite main ion temperature gradient effects is shown in the small ion Mach number limit. A simple interpolation formula is derived for the case of high impurity charge and circular geometry. While an enhancement of the diffusion coefficient is found for order one impurity Mach number, a reduction due to the rotation-driven poloidal asymmetry in the density occurs for very large Mach number.

Authors:

Belli, Emily A. ^[1]; Candy, Jefferey M. ^[1]; Angioni, C. ^[2]

General Atomics, San Diego, CA (United States)
Max-Planck-Institut fur Plasmaphysik, Garching bei Munchen (Germany)

Publication Date:: Fri Nov 07 00:00:00 EST 2014

Research Org.:: General Atomics, San Diego, CA (United States)

Sponsoring Org.:: USDOE Office of Nuclear Energy (NE)

OSTI Identifier:: 1356335

Grant/Contract Number:: FG02-95ER54309

Resource Type:: Accepted Manuscript

Journal Name:: Plasma Physics and Controlled Fusion

Additional Journal Information:: Journal Volume: 56; Journal Issue: 12; Journal ID: ISSN 0741-3335

Publisher:: IOP Science

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; neoclassical; drift-kinetic; transport; impurities; rotation

Citation Formats


                    Belli, Emily A., Candy, Jefferey M., and Angioni, C. Pfirsch–Schlüter neoclassical heavy impurity transport in a rotating plasma.  United States: N. p., 2014. 
Web.  doi:10.1088/0741-3335/56/12/124002.

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                    Belli, Emily A., Candy, Jefferey M., & Angioni, C. Pfirsch–Schlüter neoclassical heavy impurity transport in a rotating plasma.  United States.  https://doi.org/10.1088/0741-3335/56/12/124002

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                    Belli, Emily A., Candy, Jefferey M., and Angioni, C. Fri .  
"Pfirsch–Schlüter neoclassical heavy impurity transport in a rotating plasma".  United States.  https://doi.org/10.1088/0741-3335/56/12/124002.  https://www.osti.gov/servlets/purl/1356335.

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@article{osti_1356335,

  title        = {Pfirsch–Schlüter neoclassical heavy impurity transport in a rotating plasma},

  author       = {Belli, Emily A. and Candy, Jefferey M. and Angioni, C.},

  abstractNote = {In this paper, we extend previous analytic theories for the neoclassical transport of a trace heavy impurity in a rotating plasma in the Pfirsch-Schl¨uter regime. The complete diffusive and convective components of the ambipolar particle flux are derived. The solution is valid for arbitrary impurity charge and impurity Mach number and for general geometry. Inclusion of finite main ion temperature gradient effects is shown in the small ion Mach number limit. A simple interpolation formula is derived for the case of high impurity charge and circular geometry. While an enhancement of the diffusion coefficient is found for order one impurity Mach number, a reduction due to the rotation-driven poloidal asymmetry in the density occurs for very large Mach number.},

  doi          = {10.1088/0741-3335/56/12/124002},

  journal      = {Plasma Physics and Controlled Fusion},

  number       = 12,

  volume       = 56,

  place        = {United States},

  year         = {Fri Nov 07 00:00:00 EST 2014},

  month        = {Fri Nov 07 00:00:00 EST 2014}

}

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Works referenced in this record:

Transport of impure plasma with arbitrary toroidal rotation
journal, January 1987

Wong, Seung Kai
Physics of Fluids, Vol. 30, Issue 3
DOI: 10.1063/1.866333

Effects of density asymmetries on heavy impurity transport in a rotating tokamak plasma
journal, October 1998

Romanelli, M.; Ottaviani, M.
Plasma Physics and Controlled Fusion, Vol. 40, Issue 10
DOI: 10.1088/0741-3335/40/10/007

Impurity transport in the Pfirsch-Schlüter regime
journal, January 1974

Rutherford, P. H.
Physics of Fluids, Vol. 17, Issue 9
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Nonlinear neoclassical transport in a rotating impure plasma with large gradients
journal, August 1999

Fülöp, T.; Helander, P.
Physics of Plasmas, Vol. 6, Issue 8
DOI: 10.1063/1.873593

Kinetic calculation of neoclassical transport including self-consistent electron and impurity dynamics
journal, July 2008

Belli, E. A.; Candy, J.
Plasma Physics and Controlled Fusion, Vol. 50, Issue 9
DOI: 10.1088/0741-3335/50/9/095010

An Eulerian method for the solution of the multi-species drift-kinetic equation
journal, June 2009

Belli, E. A.; Candy, J.
Plasma Physics and Controlled Fusion, Vol. 51, Issue 7
DOI: 10.1088/0741-3335/51/7/075018

Full linearized Fokker–Planck collisions in neoclassical transport simulations
journal, December 2011

Belli, E. A.; Candy, J.
Plasma Physics and Controlled Fusion, Vol. 54, Issue 1
DOI: 10.1088/0741-3335/54/1/015015

Neoclassical ion transport in rotating axisymmetric plasmas
journal, January 1985

Hinton, F. L.; Wong, S. K.
Physics of Fluids, Vol. 28, Issue 10
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A unified method for operator evaluation in local Grad–Shafranov plasma equilibria
journal, September 2009

Candy, J.
Plasma Physics and Controlled Fusion, Vol. 51, Issue 10
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Fokker-Planck Equation for an Inverse-Square Force
journal, July 1957

Rosenbluth, Marshall N.; MacDonald, William M.; Judd, David L.
Physical Review, Vol. 107, Issue 1
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Works referencing / citing this record:

A multi-species collisional operator for full-F gyrokinetics
journal, December 2015

Estève, D.; Garbet, X.; Sarazin, Y.
Physics of Plasmas, Vol. 22, Issue 12
DOI: 10.1063/1.4937373

High Z neoclassical transport: Application and limitation of analytical formulae for modelling JET experimental parameters
journal, January 2018

Breton, S.; Casson, F. J.; Bourdelle, C.
Physics of Plasmas, Vol. 25, Issue 1
DOI: 10.1063/1.5019275

Determination of 2D poloidal maps of the intrinsic W density for transport studies in JET-ILW
journal, November 2018

Sertoli, Marco; Flanagan, Joanne; Maslov, Mikhail
Review of Scientific Instruments, Vol. 89, Issue 11
DOI: 10.1063/1.5046562

Results of high heat flux tests of tungsten divertor targets under plasma heat loads expected in ITER and tokamaks (review)
journal, December 2016

Budaev, V. P.
Physics of Atomic Nuclei, Vol. 79, Issue 7
DOI: 10.1134/s106377881607005x

An analytic model for the collisional transport and poloidal asymmetry distribution of impurities in tokamak plasmas
journal, August 2020

Maget, Patrick; Manas, Pierre; Frank, Judith
Plasma Physics and Controlled Fusion, Vol. 62, Issue 10
DOI: 10.1088/1361-6587/aba7f9

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Similar Records

Title: Pfirsch–Schlüter neoclassical heavy impurity transport in a rotating plasma

Abstract

Citation Formats

Transport of impure plasma with arbitrary toroidal rotation journal, January 1987

Effects of density asymmetries on heavy impurity transport in a rotating tokamak plasma journal, October 1998

Impurity transport in the Pfirsch-Schlüter regime journal, January 1974

Nonlinear neoclassical transport in a rotating impure plasma with large gradients journal, August 1999

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Fokker-Planck Equation for an Inverse-Square Force journal, July 1957

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Transport of impure plasma with arbitrary toroidal rotation
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Effects of density asymmetries on heavy impurity transport in a rotating tokamak plasma
journal, October 1998

Impurity transport in the Pfirsch-Schlüter regime
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Nonlinear neoclassical transport in a rotating impure plasma with large gradients
journal, August 1999

Kinetic calculation of neoclassical transport including self-consistent electron and impurity dynamics
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An Eulerian method for the solution of the multi-species drift-kinetic equation
journal, June 2009

Full linearized Fokker–Planck collisions in neoclassical transport simulations
journal, December 2011

Neoclassical ion transport in rotating axisymmetric plasmas
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A unified method for operator evaluation in local Grad–Shafranov plasma equilibria
journal, September 2009

Fokker-Planck Equation for an Inverse-Square Force
journal, July 1957

A multi-species collisional operator for full-F gyrokinetics
journal, December 2015

High Z neoclassical transport: Application and limitation of analytical formulae for modelling JET experimental parameters
journal, January 2018

Determination of 2D poloidal maps of the intrinsic W density for transport studies in JET-ILW
journal, November 2018

Results of high heat flux tests of tungsten divertor targets under plasma heat loads expected in ITER and tokamaks (review)
journal, December 2016

An analytic model for the collisional transport and poloidal asymmetry distribution of impurities in tokamak plasmas
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