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Main Authors: Saxena, Saurabh, Ferraro, Nathaniel, Martin, Mike F., Wright, Adelle M.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.05166
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author Saxena, Saurabh
Ferraro, Nathaniel
Martin, Mike F.
Wright, Adelle M.
author_facet Saxena, Saurabh
Ferraro, Nathaniel
Martin, Mike F.
Wright, Adelle M.
contents Bootstrap current plays a crucial role in the equilibrium of magnetically confined plasmas, particularly in quasisymmetric (QS) stellarators and in tokamaks, where it can represent bulk of the electric current density. Accurate modeling of this current is essential for understanding the magnetohydrodynamic (MHD) equilibrium and stability of these configurations. This study expands the modeling capabilities of M3D-C1, an extended-MHD code, by implementing self-consistent physics models for bootstrap current. It employs two analytical frameworks: a generalized Sauter model (Sauter et al. (1999)), and a revised Sauter-like model (Redl et al. (2021)). The isomorphism described by Landreman et al. (2022) is employed to apply these models to quasisymmetric stellarators. The implementation in M3D-C1 is benchmarked against neoclassical codes, including NEO, XGCa, and SFINCS, showing excellent agreement. These improvements allow M3D-C1 to self-consistently calculate the neoclassical contributions to plasma current in axisymmetric and quasisymmetric configurations, providing a more accurate representation of the plasma behavior in these configurations. A workflow for evaluating the neoclassical transport using SFINCS with arbitrary toroidal equilibria calculated using M3D-C1 is also presented. This workflow enables a quantitative evaluation of the error in the Sauter-like model in cases that deviate from axi- or quasi-symmetry (e.g., through the development of an MHD instability).
format Preprint
id arxiv_https___arxiv_org_abs_2507_05166
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bootstrap Current Modeling in M3D-C1
Saxena, Saurabh
Ferraro, Nathaniel
Martin, Mike F.
Wright, Adelle M.
Plasma Physics
Bootstrap current plays a crucial role in the equilibrium of magnetically confined plasmas, particularly in quasisymmetric (QS) stellarators and in tokamaks, where it can represent bulk of the electric current density. Accurate modeling of this current is essential for understanding the magnetohydrodynamic (MHD) equilibrium and stability of these configurations. This study expands the modeling capabilities of M3D-C1, an extended-MHD code, by implementing self-consistent physics models for bootstrap current. It employs two analytical frameworks: a generalized Sauter model (Sauter et al. (1999)), and a revised Sauter-like model (Redl et al. (2021)). The isomorphism described by Landreman et al. (2022) is employed to apply these models to quasisymmetric stellarators. The implementation in M3D-C1 is benchmarked against neoclassical codes, including NEO, XGCa, and SFINCS, showing excellent agreement. These improvements allow M3D-C1 to self-consistently calculate the neoclassical contributions to plasma current in axisymmetric and quasisymmetric configurations, providing a more accurate representation of the plasma behavior in these configurations. A workflow for evaluating the neoclassical transport using SFINCS with arbitrary toroidal equilibria calculated using M3D-C1 is also presented. This workflow enables a quantitative evaluation of the error in the Sauter-like model in cases that deviate from axi- or quasi-symmetry (e.g., through the development of an MHD instability).
title Bootstrap Current Modeling in M3D-C1
topic Plasma Physics
url https://arxiv.org/abs/2507.05166