TY - JOUR
T1 - Asymptotic quasisymmetric high-beta three-dimensional magnetohydrodynamic equilibria near axisymmetry
AU - Sengupta, Wrick
AU - Nikulsin, Nikita
AU - Gaur, Rahul
AU - Bhattacharjee, Amitava
N1 - Publisher Copyright:
© The Author(s), 2024.
PY - 2024/4/5
Y1 - 2024/4/5
N2 - Quasisymmetry (QS), a hidden symmetry of the magnetic field strength, is known to support nested flux surfaces and provide superior particle confinement in stellarators. In this work, we study the ideal magnetohydrodynamic (MHD) equilibrium and stability of high-beta plasma in a large-aspect-ratio stellarator. In particular, we show that the lowest-order description of a near-axisymmetric equilibrium vastly simplifies the problem of three-dimensional quasisymmetric MHD equilibria, which can be reduced to a standard elliptic Grad–Shafranov equation for the flux function. We show that any large-aspect-ratio tokamak, deformed periodically in the vertical direction, is a stellarator with approximate volumetric QS. We discuss exact analytical solutions and numerical benchmarks. Finally, we discuss the ideal ballooning and interchange stability of some of our equilibrium configurations.
AB - Quasisymmetry (QS), a hidden symmetry of the magnetic field strength, is known to support nested flux surfaces and provide superior particle confinement in stellarators. In this work, we study the ideal magnetohydrodynamic (MHD) equilibrium and stability of high-beta plasma in a large-aspect-ratio stellarator. In particular, we show that the lowest-order description of a near-axisymmetric equilibrium vastly simplifies the problem of three-dimensional quasisymmetric MHD equilibria, which can be reduced to a standard elliptic Grad–Shafranov equation for the flux function. We show that any large-aspect-ratio tokamak, deformed periodically in the vertical direction, is a stellarator with approximate volumetric QS. We discuss exact analytical solutions and numerical benchmarks. Finally, we discuss the ideal ballooning and interchange stability of some of our equilibrium configurations.
KW - fusion plasma
KW - plasma confinement
KW - plasma instabilities
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U2 - 10.1017/S0022377824000357
DO - 10.1017/S0022377824000357
M3 - Article
AN - SCOPUS:85190107729
SN - 0022-3778
VL - 90
JO - Journal of Plasma Physics
JF - Journal of Plasma Physics
IS - 2
M1 - 905900209
ER -