A relaxation model of coronal heating in multiple interacting flux ropes

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Table 2

Results of the Taylor model compared to the MHD model.

Case	Final radius				Taylor δE			MHD δE

	Constraint 1	Constraint 2	Constraint 3	MHD (estimate)	Constraint 1	Constraint 2	Constraint 3

1^*	1.0 (each)	0.999 (each)	1.018 (each)	1.0–1.5	–2.70	–2.608	–3.88	–3.031
2	1.414	1.412	1.445	1.3–1.5	–3.26	-3.164	–4.69	–3.069
3^*	1.0 (each)	0.999	1.006	1.2–1.5	–1.35	–1.304	–1.94	–1.5
4	1.414	1.413	1.437	1.4–1.5	–2.36	–2.29	–3.41	–2.3

Notes.

^(*)

Case 3 only considers one flux rope (in the Taylor model) resolving itself since the first rope is stable, case 1 is twice that of case 3. The force free parameter (α) for case 2 is 0.258, for case 4 is 0.2133, and for a single kink unstable flux rope of λ = 1.8 is 0.510.

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