The singular behaviour of ambipolar diffusion revealed by 1D Cartesian solutions

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Table 2.

Basic parameters for the first four eigenmodes of the antisymmetric problem.

	$\hat{K}$ $Mathematical equation: $ {\hat{K}} $$	${\hat{ξ}}_{r}$ $Mathematical equation: $ {{\hat{\xi}}_r} $$	H	K	α	γ
1	2.00	1.278	1.633	3.27	−0.333	0.167
2	5.30	0.958	0.918	4.87	−0.421	0.0793
3	10.3	0.798	0.637	6.56	−0.456	0.0443
4	17.0	0.698	0.487	8.28	−0.472	0.0278

Notes. The successive columns show the eigenvalues ( $\hat{K} = K / H$ $Mathematical equation: $ {\hat{K}}= K/H $$ ) and the locations of the end points, ${\hat{ξ}}_{r}$ $Mathematical equation: $ {{\hat{\xi}}_r} $$ , of the solutions; the corresponding values of H and K; and the exponents α and γ of the power laws (36)–(38).

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