The second stability region for MHD ballooning modes exists in linear gyrokinetics, and realistic-geometry simulations show reduced collisionless electrostatic turbulent transport for H-mode profiles due to bootstrap current lowering global shear and pressure gradient altering local shear.
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Metriplectic systems converge to entropy extrema at fixed Hamiltonian under stated conditions; a Landau-inspired class reduces the check to two simpler conditions for use in equilibrium relaxation schemes.
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Second stability region for gyrokinetics and the L-H transition
The second stability region for MHD ballooning modes exists in linear gyrokinetics, and realistic-geometry simulations show reduced collisionless electrostatic turbulent transport for H-mode profiles due to bootstrap current lowering global shear and pressure gradient altering local shear.
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Metriplectic relaxation to equilibria
Metriplectic systems converge to entropy extrema at fixed Hamiltonian under stated conditions; a Landau-inspired class reduces the check to two simpler conditions for use in equilibrium relaxation schemes.