Table 3.
Total energy losses and phenomenological estimates in the non-Alfvénic (NALF) and Alfvénic (ALF) streams.
Stream | τIR | τinj | ℱexp | 𝒦 | QVV | Qinj |
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z+IR | z−IR |
---|---|---|---|---|---|---|---|---|---|---|
(h) | (h) | (W/kg) | (W/kg) | (W/kg) | (W/kg) | (W/kg) | (W/kg) | (km/s) | (km/s) | |
NALF | [0.1, 1] | [1, 6] | −550±110 | 320±10 | 340±200 | – | 630 | 375 | 20 | 21 |
ALF | [0.01, 0.1] | [0.1, 3] | −6100±300 | 4900±600 | 4100±2500 | 1600±500 | 19 800 | 4300 | 66 | 17 |
Notes. Expansion damping (ℱexp) and cascade (𝒦) for the total energy in the non-Alfvénic (NALF) and Alfvénic (ALF) streams. As in Table 2, values for the cascade are the averages in the inertial range, τIR, while for the expansion the averages were taken approximately above the injection range, τinj; namely, τ > 2 h and τ > 3 h for the NALF and ALF streams, respectively. The error is the standard deviation of the logarithmic quantity. QVV is the Verma & Vasquez estimate of the energy required to sustain the nonadiabatic proton temperature decrease in the solar wind, Tp ∝ 1/Rγ, i.e., Eq. (10) with γ = 1 ± 0.2. Qinj is Wu et al.’s estimate of the energy injected into turbulence because of the shift with distance of the frequency break (for the Alfvénic stream only, see Appendix A and Fig. A.1 for details). The Kolmogorov and Iroshnokov-Kraichnan phenomenologies for the cascade rates of the total energy, , were computed by evaluating Eqs. (29) and (30) with amplitudes, z±IR, at the top of the inertial range and α = 0.1.
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