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Title: Characterization of a class of stellarator steady states

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.3533258· OSTI ID:21532172
 [1]
  1. Courant Institute of Mathematical Sciences, New York University, New York, New York 10012 (United States)

A stellarator steady state is obtained for a specific class of magnetic fields by a formal expansion in the small Larmor radius parameters of the coupled ion-electron Fokker-Planck equations. A system of relatively simple ordinary differential equations is given to determine the plasma profile functions, the number density, the temperature, and the electrostatic potential. A particular low collisionality ordering is used. The magnetic field is assumed to have stellarator symmetry of N periods in the toroidal direction and is approximated by a closed magnetic line configuration with rotational transform N/R. The magnetic field is nearly quasisymmetric. The chosen magnetic field also includes a small additional component leading to a configuration without closed lines or closed flux surfaces. The theoretical logic behind this choice of magnetic fields is also presented.

OSTI ID:
21532172
Journal Information:
Physics of Plasmas, Vol. 18, Issue 1; Other Information: DOI: 10.1063/1.3533258; (c) 2011 American Institute of Physics; ISSN 1070-664X
Country of Publication:
United States
Language:
English