Stochastic excitation of waves in magnetic stars - I. Scaling laws for the mode amplitudes

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Volume 690 (October 2024)

A&A, 690 (2024) A270

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Table 2.

Frequently used symbols in the stochastic excitation model.

𝒮_R	Reynolds-Stresses source term
𝒮_B	Maxwell-Stresses source term
𝒮_mag = 𝒮_B + 𝒮_R	Total source term with B ≠ 0
𝒮₀	Total source term with B = 0
𝒟_mag	Ohmic damping
𝒟_vis	Turbulent viscous damping
𝒟_mag = 𝒟_vis + 𝒟_ohm	Total damping term with B ≠ 0
𝒟₀	Total damping term with B = 0
⟨\|A\|⟩₀	Mean mode amplitude with B = 0
⟨\|A\|⟩_mag	Mean mode amplitude with B ≠ 0
$\tilde{S} = \frac{S_{mag}}{S_{0}}$ $\tilde{\mathcal{S}} = \frac{\mathcal{S}_{\mathrm{mag}}}{\mathcal{S}_0}$	Modulation of the source term with magnetic field
$\tilde{D} = \frac{D_{mag}}{D_{0}}$ $\tilde{\mathcal{D}} = \frac{\mathcal{D}_{\mathrm{mag}}}{\mathcal{D}_0}$	Modulation of the damping with magnetic field
$\tilde{A} = \frac{{⟨ \| A \| ⟩}_{mag}}{{⟨ \| A \| ⟩}_{0}}$ $\tilde{\mathcal{A}} = \frac{\langle \lvert A \rvert \rangle_{\mathrm{mag}}}{\langle \lvert A \rvert \rangle_0}$	Modulation of the amplitude with magnetic field

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