Table 1.
Energy conversion from magnetic to kinetic and thermal energy densities as a function of shearing σ.
| Magnetic | Kinetic | Thermal | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| σ | τ1 | Δ τ | eMFE, 1 | Δ e | Δ e/Δ τ | Δ e | Δ e/Δ τ | ϵ | Δ e | Δ e/Δ τ | ϵ |
| 0 | 167.7 | 85.6 | 4.12 ⋅ 10−1 | −2.7 ⋅ 10−2 | −5.2 ⋅ 10−6 | 7.3 ⋅ 10−5 | 1.4 ⋅ 10−8 | 0.27 | 1.5 ⋅ 10−2 | 3.0 ⋅ 10−6 | 57.5 |
| 0.75 | 71.0 | 182.3 | 4.13 ⋅ 10−1 | −6.5 ⋅ 10−2 | −6.0 ⋅ 10−6 | 1.4 ⋅ 10−5 | 1.3 ⋅ 10−9 | 0.02 | 2.1 ⋅ 10−2 | 1.9 ⋅ 10−6 | 31.6 |
| 1 | 67.6 | 185.8 | 4.14 ⋅ 10−1 | −7.3 ⋅ 10−2 | −6.5 ⋅ 10−6 | 5.9 ⋅ 10−3 | 5.3 ⋅ 10−7 | 8.16 | 3.2 ⋅ 10−2 | 2.9 ⋅ 10−6 | 44.4 |
| 1.25 | 61.8 | 185.8 | 4.16 ⋅ 10−1 | −6.9 ⋅ 10−2 | −6.2 ⋅ 10−6 | 3.7 ⋅ 10−3 | 3.3 ⋅ 10−7 | 5.35 | 3.1 ⋅ 10−2 | 2.8 ⋅ 10−6 | 45.7 |
| 1.5 | 59.0 | 150.9 | 4.18 ⋅ 10−1 | −6.3 ⋅ 10−2 | −7.0 ⋅ 10−6 | 1.5 ⋅ 10−3 | 1.7 ⋅ 10−7 | 2.45 | 1.9 ⋅ 10−2 | 2.1 ⋅ 10−6 | 29.5 |
| 2 | 56.7 | 148.8 | 4.21 ⋅ 10−1 | −6.4 ⋅ 10−2 | −7.2 ⋅ 10−6 | 1.0 ⋅ 10−3 | 1.1 ⋅ 10−7 | 1.56 | 2.1 ⋅ 10−2 | 2.4 ⋅ 10−6 | 33.3 |
Notes.
We define eMFE, 1 as the attained maximum free magnetic energy density and τMFE, max as the time when this maximum occurs. The time interval Δ τ spans the period between maximum and minimum free magnetic energy density, while Δ e represents changes in magnetic, kinetic, or thermal energy density between these states. These quantities yield average energy conversion rates Δ e/Δ τ per energy type. For the kinetic and thermal energy density, ϵ quantifies the percentage of energy conversion rate from magnetic to kinetic or thermal. Time τ and time periods Δ τ are expressed in minutes, energy density e and energy density differences Δ e in ergs cm−3, energy density rates Δe/Δ τ in erg cm−3 s−1, and the energy conversion percentage ϵ.
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