Reality of inverse cascading in neutron star crusts

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Table 3.

Correspondence of times in various units for the PENCIL CODE simulations.

t[R²/η]	$\tilde{t} \equiv η t / R^{2}$ $\tilde{t}\equiv \eta t/R^2$	$\tilde{t} \equiv η t / {(R - r_{0})}^{2}$ $\widetilde{t}\equiv \eta t/(R-r_0)^2$	t/τ_Ohm
0.01	2 × 10⁻⁶	2 × 10⁻⁴	0.11
0.03	6 × 10⁻⁶	6 × 10⁻⁴	0.15
0.1	2 × 10⁻⁵	2 × 10⁻³	0.20
0.3	6 × 10⁻⁵	6 × 10⁻³	0.26

Notes. t represents the time in PENCIL CODE units, $\tilde{t}$ $\tilde{t}$ shows the dimensionless time normalized by the stellar radius, $\tilde{t}$ $\widetilde{t}$ is the time normalized by the crust thickness, and t/τ_Ohm ≡ ηt/ξ² provides the normalized time with respect to the Ohmic diffusion timescale, τ_Ohm = ξ²/η.

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