Local up-down asymmetrically shaped equilibrium model for tokamak plasmas
Paulo Rodrigues, Andr\'e Coroado

TL;DR
This paper introduces a local magnetic equilibrium model for tokamak plasmas with asymmetric shaping, designed for analytical tractability and detailed assessment of shaping effects on plasma behavior.
Contribution
It presents a novel equilibrium model that balances complexity and analytical simplicity, accommodating asymmetry and finite aspect ratio in tokamak plasma modeling.
Findings
Analytically tractable magnetic-field components.
Supports asymmetric plasma shaping analysis.
Applicable for equilibrium-shaping effect studies.
Abstract
A local magnetic equilibrium model is presented, with finite aspect ratio and up-down asymmetrically shaped cross section, that depends on eight free parameters. In contrast with other local equilibria, which provide simple magnetic-surface parametrizations at the cost of complex poloidal-field flux descriptions, the proposed model is intentionally built to afford analytically tractable magnetic-field components. Therefore, it is particularly suitable for analytical assessments of equilibrium-shaping effects on a variety of tokamak-plasma phenomena.
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