REVIEW 4 major objections 5 minor 108 references
Parker Solar Probe Observations of Preferential Heating of Protons over Alpha Particles near Turbulent Coherent Structures
T0 review · 4 major / 5 minor · reviewed 2026-08-01 · deepseek-v4-flash
Pith's one-line read This paper reports that in the young solar wind, turbulent coherent structures heat protons more than alpha particles, pulling the species toward thermal equilibration.
desk verdict A credible first look at species-dependent heating near PVI structures, but the alpha-moment products are the load-bearing measurement and need validation before the 13% vs 6% ordering is accepted. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The PVI (Partial Variance of Increments) statistic, computed from magnetic-field increments at a 3.5-second lag, identifies intermittent coherent structures. Conditional median epoch analysis—aligning temperature profiles at PVI event times and normalizing by a 700-second background mean—isolates the localized thermal response. The alpha-to-proton temperature ratio, decomposition into parallel and perpendicular temperatures relative to the local magnetic field, normalized differential flow speed, and Coulomb collision age are the diagnostics that carry the argument.
What would settle it
Re-run the same epoch analysis using full velocity-distribution-function fits for alpha particles at the same 3.5-second cadence; if the alpha temperature spike relative to background is not smaller than the proton's, or if the alpha-to-proton temperature ratio dip disappears, the central claim fails.
Extended reading notes
Core claim
Using PSP data from encounters 6–24 (0.05–0.28 AU), the authors perform conditional epoch analysis on 169,141 coherent structures identified by the PVI method at a 3.5-second lag. For the strongest structures (PVI>6), the median proton temperature rises roughly 13% relative to background while the alpha temperature rises roughly 6%. Consequently, the median alpha-to-proton temperature ratio, typically 5–7 in this wind, dips by up to about 12% at the structure core, and the dip depth scales with the PVI threshold. The effect is anisotropic: perpendicular temperature enhancements exceed parallel ones for both species. The authors also observe a simultaneous drop in the normalized alpha-proton
Load-bearing premise
The alpha-particle temperatures derived from SPAN-I level-3 partial moments remain unbiased inside coherent-structure cores, where the proton and alpha distributions overlap and the alpha density is only a few percent.
Editorial extensions
If this is right
- Coherent structures in the inner heliosphere are sites of species-dependent, perpendicular-dominated ion heating, not passive tracers of turbulence.
- The alpha-to-proton temperature ratio is locally modulated by intermittency; strong events reduce inter-species thermal disequilibrium by up to roughly 12%.
- Because the effect scales with the PVI threshold, turbulence intermittency strength controls the degree of cross-species thermal coupling.
- The simultaneous drop in drift speed and collision age indicates that collisionless kinetic processes, not Coulomb collisions, govern the relaxation.
- The persistence of the signature across encounters 6–24 suggests it is a consistent feature of the young solar wind.
Reading between the lines
- If the SPAN-I level-3 alpha partial moments are biased inside the sharp density depletions and velocity jumps of these structures, the reported species ordering of the temperature spikes could be an artifact; a validation against full distribution-function fits would resolve this.
- The results imply that global radial trends of the alpha-to-proton temperature ratio may be partly produced by resolvable intermittent structures; models of solar wind ion thermodynamics may need to include structure-localized, species-dependent heating terms.
- The paper's preliminary Wind (1 AU) evidence suggests the same mechanism may persist to Earth orbit; if confirmed, it would connect near-Sun intermittency to the observed 1-AU alpha-proton temperature ratio.
- A kinetic simulation varying PVI strength and species mass-to-charge ratio could test whether the roughly 2:1 proton-to-alpha relative heating ratio is a universal feature or specific to these plasma parameters.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. This paper presents a statistical study of Parker Solar Probe observations from encounters 6–24 (0.05–0.28 AU), using the Partial Variance of Increments method on magnetic-field data to identify coherent structures and conditional epoch medians of proton and alpha-particle temperatures, temperature ratios, drift speed, Coulomb collision age, plasma beta, and alpha-to-proton density ratio. The authors report that high-PVI events are associated with a normalized proton temperature increase of ~13% versus ~6% for alpha particles at PVI>6, a corresponding dip of up to ~12% in the alpha-to-proton temperature ratio, and a stronger perpendicular than parallel heating response. They interpret the accompanying drop in normalized alpha–proton drift and local minimum in collision age as evidence for collisionless, species-dependent relaxation near coherent structures. The analysis uses 4,654,482 measurements and 169,141 PVI events.
Significance. If the central result is correct, this is the first systematic statistical evidence that coherent structures in the inner solar wind produce species-dependent, anisotropic ion heating that locally narrows the alpha–proton thermal gap. The dataset is large and drawn from public PSP data, and the conditional-median approach is well matched to the question. The main strength is the scope of the statistical sample and the novelty of quantifying alpha-particle temperature responses to intermittent structures. However, the headline 13%-versus-6% ordering rests on alpha-particle partial moments extracted by a two-population fit in exactly the plasma conditions where such fits are most fragile, and no validation or uncertainty budget is provided. The quantitative claim is therefore promising but not yet established.
major comments (4)
- [§3.2, Fig. 2] The headline species comparison (13% vs 6%) is based on SPAN-I level-3 alpha partial moments (Livi et al. 2025a), which are not validated inside coherent-structure cores. The event in Fig. 1 shows n_p dropping from 310 to 50 cm^-3, V_R jumping ~150 km/s, and n_alpha/n_p spiking to ~8% over ~30 s. These are precisely the conditions under which two-population moment fitting can bias the alpha temperature. Since the reported alpha enhancement is only ~6%, an unquantified systematic could change or even reverse the species ordering. The paper should supply a cross-check against full distribution-function fits on a subset of events, or a quantitative sensitivity/uncertainty analysis for the alpha moments.
- [Eq. (2), §3.2] The normalization temperature T_{j,0} is computed as the mean within a 700-s window centered on the PVI event. Because the event itself falls inside this window, the median normalized spike is diluted by an amount that depends on event duration and on the species being considered. This can bias the comparison of the normalized proton and alpha enhancements and also the PVI-dependence of the spikes. The analysis should be repeated with an asymmetric or event-excluded baseline (e.g., median of a surrounding window with the central portion removed) to show that the 13% vs 6% ordering is not an artifact of the normalization choice.
- [§2, §3.1] Alpha partial moments have a native cadence of 14 s but are resampled to 3.5 s. The coherent structure shown in Fig. 1 lasts about 30 s, so only ~2 native alpha samples cover the core. The paper does not state the resampling method (e.g., linear interpolation, sample-and-hold) nor test for temporal smearing. This is directly relevant to the amplitude and width of the alpha temperature spike and to the depth of the T_alpha/T_p dip. Please document the resampling and evaluate the maximum possible smearing effect on the conditional medians.
- [Figs. 2–4] No confidence intervals or systematic error bars are shown. With 6,186 events in the highest PVI bin, the sampling error on the medians is likely small, but the quantitative claims—13% vs 6%, the 2–12% ratio dips, and the perpendicular/parallel split—carry no quantified uncertainty. A bootstrap confidence interval on the medians and a propagation of the alpha-moment uncertainty (or at least an explicit statement that the result is robust to plausible moment biases) would materially strengthen the paper.
minor comments (5)
- [Fig. 2 caption and text] The text refers to 'Figures 2a-2d' for proton total, parallel, and perpendicular panels, but the figure has six panels (a–f) and the caption assigns labels differently. Please correct the panel references and the in-text notation for \tilde T_p, \tilde T_{p,\parallel}, \tilde T_{p,\perp} and the alpha equivalents.
- [References] Several references in the bibliography are not cited in the text (e.g., Chen et al. 2019; Kasper & Klein 2019; Matthaeus et al. 2020; Verscharen et al. 2015; Phillips et al. 2023; Li et al. 2023; Formisano et al. 1970). Either cite them in the relevant passages or remove them.
- [Eq. (2)] The notation is typeset awkwardly: the conditioning PVI∈[θ_i, θ_{i+1}) is written inside the median expression, and T_{j,0} is not explicitly defined as a per-event quantity. Please rewrite for clarity.
- [§3.1] The text says the proton and alpha temperatures are shown 'in panel f and g,' but the figure panels are labeled (e) and (f) for temperatures. Also, the caption for panel (d) says n_alpha is plotted 'at 100 times scale'—please clarify the scaling in the text.
- [Acknowledgments] The acknowledgments thank 'the reviewer' for comments. This is unusual in a submitted manuscript and should be removed or rephrased.
Circularity Check
No significant circularity: the paper reports conditional observational statistics, and its central claims do not reduce to fitted parameters or to load-bearing self-citations.
full rationale
This is an observational analysis, not a derivation. The central quantities—normalized temperature responses õT_j (Eq. 2), the T_alpha/T_p ratio dips, drift speed, and collision age—are computed directly from independent SPAN-I and FIELDS measurements. The reported 13% vs 6% species difference and the ratio dip are conditional medians of measured temperatures selected by PVI thresholds; no parameter is fitted to reproduce the species ordering. PVI is constructed only from magnetic-field increments (Eq. 1), so the temperature comparison is not defined in terms of the outcome it claims to find. The collision-age N_c is a derived context diagnostic; it is not used to construct the temperature or ratio claims, and its internal consistency does not make the temperature result circular. Citations to prior work by coauthors (e.g., Chen et al. 2025, Yang et al. 2017a,b, Wang et al. 2019, Sorriso-Valvo et al.) are contextual support for known turbulence phenomenology, not load-bearing uniqueness theorems or smuggled ansatze. The alpha-particle partial-moment data products are cited to external instrument teams (Livi et al. 2025a,b). The legitimate concern that SPAN-I alpha partial moments may be biased inside strong density and velocity gradients is a measurement-validity issue, not a circularity: no equation in the paper makes the alpha temperature equal to the proton temperature or to a fitted input. No specific reduction of a prediction to its inputs can be exhibited, so the circularity score is 0.
Assumptions & free parameters
free parameters (2)
- Background normalization window for T_j,0 (Eq. 2) =
700 s (hand-chosen)
- PVI lag and threshold bins =
tau = 3.5 s; bins 2-3, 3-4, 4-5, 5-6, >6
assumptions (4)
- domain assumption High PVI (>=3) at 3.5 s lag identifies coherent structures (current sheets, discontinuities) that are preferential sites of energy dissipation.
- domain assumption SPAN-I L3 alpha and proton partial moments separate the two ion populations against a Maxwellian core at 3.5 s cadence.
- domain assumption The Coulomb collision number N_c (Eqs. 3-5, Hernandez et al. 1987) is a valid estimator of collisional relaxation for the proton-alpha pair.
- domain assumption Conditional-median epoch statistics are valid with events treated as independent.
Cite this review
Pith. "Pith review of Parker Solar Probe Observations of Preferential Heating of Protons over Alpha Particles near Turbulent Coherent Structures." pith.science (2026). https://pith.science/paper/TYIQDY3W
@misc{pith2026260717484,
author = {Pith},
title = {Pith review of: Parker Solar Probe Observations of Preferential Heating of Protons over Alpha Particles near Turbulent Coherent Structures},
year = {2026},
howpublished = {\url{https://pith.science/paper/TYIQDY3W}},
note = {Machine review of arXiv:2607.17484}
}
read the original abstract
Solar wind alpha particles exhibit preferential heating and acceleration relative to protons; however, their behavior in the vicinity of turbulent coherent structures remains less understood. We report the first evidence of localized alpha particle and proton heating within coherent structures identified using the Partial Variance of Increments (PVI) method, based on Parker Solar Probe (PSP) observations. Our results show that high-PVI events are associated with significant, species-dependent temperature enhancements: protons undergo a relative larger temperature increase than alpha particles. This preferential proton heating produces a localized decrease in the alpha-to-proton temperature ratio, indicating that the plasma is driven toward thermal equilibration between species. The heating is also anisotropic, being dominated by enhancements in the perpendicular temperature. These temperature-signatures coincide with a pronounced reduction in the normalized alpha-proton differential flow speed and a localized minimum in the Coulomb collision age, suggesting that the relaxation is affected primarily by collisionless kinetic effects. These findings provide new insight into the intermittent energy conversion and ion thermodynamics in the solar wind.
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Works this paper leans on
-
[1]
Adhikari, L., Khabarova, O., Zank, G. P., & Zhao, L.-L. 2019, ApJ, 873, 72, doi: 10.3847/1538-4357/ab05c6
-
[2]
2008, Nonlinear Processes in Geophysics, 15, 95, doi: 10.5194/npg-15-95-2008
Alexandrova, O. 2008, Nonlinear Processes in Geophysics, 15, 95, doi: 10.5194/npg-15-95-2008
-
[3]
Amaro, M. B., & Vaivads, A. 2024, ApJL, 964, L2, doi: 10.3847/2041-8213/ad2ded
-
[4]
T., Fargette, N., Matteini, L., et al
Badman, S. T., Fargette, N., Matteini, L., et al. 2026, SSRv, 222, 14, doi: 10.1007/s11214-026-01267-w
-
[5]
D., MacDowal, R
Bale, S. D., MacDowal, R. J., Koval, A., et al. 2020, PSP FIELDS Fluxgate Magnetometer (MAG) Magnetic Field
2020
-
[6]
Vectors, Radial-Tangential-Normal, RTN, Coordinates, Full Resolution, Level 2 (L2), 3.413 ms Data, Accessed on 2026-07-15, Space Physics Data Facility, doi: 10.48322/0YY0-BA92. https://spase-metadata.org/ NASA/NumericalData/ParkerSolarProbe/FIELDS/ MAG/Level2/RTN/FullResolution/PT0.003413S
-
[7]
Bale, S. D., Goetz, K., Harvey, P. R., et al. 2016, SSRv, 204, 49, doi: 10.1007/s11214-016-0244-5
-
[8]
2024, ApJ, 971, 179, doi: 10.3847/1538-4357/ad54bc
Bendt, A., Chapman, S., & Dudok de Wit, T. 2024, ApJ, 971, 179, doi: 10.3847/1538-4357/ad54bc
Show all 108 references
-
[9]
Bourouaine, S., Marsch, E., & Neubauer, F. M. 2011, ApJL, 728, L3, doi: 10.1088/2041-8205/728/1/L3
2011 doi
-
[10]
A., & Kasper, J
Maruca, B. A., & Kasper, J. C. 2013, ApJL, 777, L3, doi: 10.1088/2041-8205/777/1/L3
2013 doi
-
[11]
A., Ervin, T., Mallet, A., et al
Bowen, T. A., Ervin, T., Mallet, A., et al. 2025, PhRvL, 135, 255201, doi: 10.1103/rxd8-22m9
2025 doi
-
[12]
2013, Living Reviews in Solar Physics, 10, 2, doi: 10.12942/lrsp-2013-2
Bruno, R., & Carbone, V. 2013, Living Reviews in Solar Physics, 10, 2, doi: 10.12942/lrsp-2013-2
2013 doi
-
[13]
2010, ApJ, 720, 503, doi: 10.1088/0004-637X/720/1/503
Germaschewski, K. 2010, ApJ, 720, 503, doi: 10.1088/0004-637X/720/1/503
2010 doi
-
[14]
Chandran, B. D. G., Verscharen, D., Quataert, E., et al. 2013, ApJ, 776, 45, doi: 10.1088/0004-637X/776/1/45
2013 doi
-
[15]
Chen, C. H. K. 2016, Journal of Plasma Physics, 82, 535820602, doi: 10.1017/S0022377816001124
2016 doi
-
[16]
Chen, C. H. K., Klein, K. G., & Howes, G. G. 2019, Nature Communications, 10, 740, doi: 10.1038/s41467-019-08435-3
2019 doi
-
[17]
Chen, C. H. K., Bale, S. D., Bonnell, J. W., et al. 2020a, ApJS, 246, 53, doi: 10.3847/1538-4365/ab60a3
-
[18]
2020b, ApJ, 903, 76, doi: 10.3847/1538-4357/abb820 10Xi et al
Chen, Y., Hu, Q., Zhao, L., et al. 2020b, ApJ, 903, 76, doi: 10.3847/1538-4357/abb820 10Xi et al. 2026
2026 doi
-
[19]
Z., Wang, T
Chen, Z. Z., Wang, T. Y., Yu, J., et al. 2025, ApJS, 281, 45, doi: 10.3847/1538-4365/ae13ad
2025 doi
-
[20]
Cranmer, S. R. 2000, ApJ, 532, 1197, doi: 10.1086/308620 —. 2009, Living Reviews in Solar Physics, 6, 3, doi: 10.12942/lrsp-2009-3
2000 doi
-
[21]
R., & Winebarger, A
Cranmer, S. R., & Winebarger, A. R. 2019, ARA&A, 57, 157, doi: 10.1146/annurev-astro-091918-104416
2019 doi
-
[22]
T., Drake, J
Dahlin, J. T., Drake, J. F., & Swisdak, M. 2015, Physics of Plasmas, 22, 100704, doi: 10.1063/1.4933212
2015 doi
-
[23]
2023, ApJL, 952, L11, doi: 10.3847/2041-8213/acd553
Duan, D., He, J., Zhu, X., et al. 2023, ApJL, 952, L11, doi: 10.3847/2041-8213/acd553
2023 doi
-
[24]
2021, in Magnetospheres in the Solar System, ed
Echim, M., Chang, T., Kovacs, P., et al. 2021, in Magnetospheres in the Solar System, ed. R. Maggiolo, N. Andr´ e, H. Hasegawa, & D. T. Welling, Vol. 2, 67
2021
-
[25]
1970, SoPh, 15, 479, doi: 10.1007/BF00151853
Formisano, V., Palmiotto, F., & Moreno, G. 1970, SoPh, 15, 479, doi: 10.1007/BF00151853
1970 doi
-
[26]
J., Velli, M
Fox, N. J., Velli, M. C., Bale, S. D., et al. 2016, SSRv, 204, 7, doi: 10.1007/s11214-015-0211-6
2016 doi
-
[27]
P., Goldstein, B
Gary, S. P., Goldstein, B. E., & Steinberg, J. T. 2001, J. Geophys. Res., 106, 24955, doi: 10.1029/2001JA000059
2001 doi
-
[28]
P., Smith, C
Gary, S. P., Smith, C. W., & Skoug, R. M. 2005, Journal of Geophysical Research (Space Physics), 110, A07108, doi: 10.1029/2004JA010569
2005 doi
- [29]
-
[30]
Hernandez, R., Livi, S., & Marsch, E. 1987, J. Geophys. Res., 92, 7723, doi: 10.1029/JA092iA07p07723
1987 doi
-
[31]
V., & Isenberg, P
Hollweg, J. V., & Isenberg, P. A. 2002, Journal of Geophysical Research (Space Physics), 107, 1147, doi: 10.1029/2001JA000270
2002 doi
-
[32]
C., Larson, D
Huang, J., Kasper, J. C., Larson, D. E., et al. 2023, ApJ, 954, 133, doi: 10.3847/1538-4357/ace694
2023 doi
-
[33]
2013, Physics of Plasmas, 20, 012303, doi: 10.1063/1.4773205
Karimabadi, H., Roytershteyn, V., Wan, M., et al. 2013, Physics of Plasmas, 20, 012303, doi: 10.1063/1.4773205
2013 doi
-
[34]
C., & Klein, K
Kasper, J. C., & Klein, K. G. 2019, ApJL, 877, L35, doi: 10.3847/2041-8213/ab1de5
2019 doi
-
[35]
C., Lazarus, A
Kasper, J. C., Lazarus, A. J., & Gary, S. P. 2008, PhRvL, 101, 261103, doi: 10.1103/PhysRevLett.101.261103
2008 doi
-
[36]
C., Maruca, B
Kasper, J. C., Maruca, B. A., Stevens, M. L., & Zaslavsky, A. 2013, PhRvL, 110, 091102, doi: 10.1103/PhysRevLett.110.091102
2013 doi
-
[37]
C., Abiad, R., Austin, G., et al
Kasper, J. C., Abiad, R., Austin, G., et al. 2016, SSRv, 204, 131, doi: 10.1007/s11214-015-0206-3
2016 doi
-
[38]
C., Klein, K
Kasper, J. C., Klein, K. G., Weber, T., et al. 2017, ApJ, 849, 126, doi: 10.3847/1538-4357/aa84b1
2017 doi
-
[39]
Kawazura, Y., Barnes, M., & Schekochihin, A. A. 2019, Proceedings of the National Academy of Science, 116, 771, doi: 10.1073/pnas.1812491116
2019 doi
-
[40]
A., Barnes, M., et al
Kawazura, Y., Schekochihin, A. A., Barnes, M., et al. 2020, Physical Review X, 10, 041050, doi: 10.1103/PhysRevX.10.041050
2020 doi
-
[41]
V., & Zank, G
Khabarova, O. V., & Zank, G. P. 2017, ApJ, 843, 4, doi: 10.3847/1538-4357/aa7686 le Roux, J. A., Zank, G. P., Webb, G. M., & Khabarova, O. 2015, ApJ, 801, 112, doi: 10.1088/0004-637X/801/2/112
2017 doi
-
[42]
H., Xiang, L., Wu, D
Li, Q. H., Xiang, L., Wu, D. J., et al. 2023, A&A, 676, A137, doi: 10.1051/0004-6361/202346815
2023 doi
-
[43]
2018, ApJ, 866, 4, doi: 10.3847/1538-4357/aae07b
Li, X., Guo, F., Li, H., & Li, S. 2018, ApJ, 866, 4, doi: 10.3847/1538-4357/aae07b
2018 doi
-
[44]
2024, ApJL, 963, L36, doi: 10.3847/2041-8213/ad2a4a
Liu, W., Jia, H.-Y., & Liu, S.-M. 2024, ApJL, 963, L36, doi: 10.3847/2041-8213/ad2a4a
2024 doi
-
[45]
E., & Rahmati, A
Livi, R., Larson, D. E., & Rahmati, A. 2025a, PSP Solar Wind Electrons Alphas and Protons (SWEAP) SPAN-A Alpha Particle Distribution Function, Partial Moments, Instrument Frame, Level 3 (L3), 14 s Data, Accessed on 2026-07-15, NASA Space Physics Data Facility, doi: 10.48322/9Z...
2026 doi
-
[46]
https://spase-metadata.org/NASA/NumericalData/ ParkerSolarProbe/SWEAP/SPAN-I/Level-3/ ProtonPartialMoments/VariableCadence.xml
Data, Accessed on 2026-07-15, NASA Space Physics Data Facility, doi: 10.48322/VW42-M541. https://spase-metadata.org/NASA/NumericalData/ ParkerSolarProbe/SWEAP/SPAN-I/Level-3/ ProtonPartialMoments/VariableCadence.xml
2026 doi
-
[47]
E., Kasper, J
Livi, R., Larson, D. E., Kasper, J. C., et al. 2022, ApJ, 938, 138, doi: 10.3847/1538-4357/ac93f5
2022 doi
-
[48]
Mallet, A., & Schekochihin, A. A. 2017, MNRAS, 466, 3918, doi: 10.1093/mnras/stw3251
2017 doi
-
[49]
2023, PhR, 1006, 1, doi: 10.1016/j.physrep.2022.12.001
Marino, R., & Sorriso-Valvo, L. 2023, PhR, 1006, 1, doi: 10.1016/j.physrep.2022.12.001
2023 doi
-
[50]
2006, Living Reviews in Solar Physics, 3, 1, doi: 10.12942/lrsp-2006-1
Marsch, E. 2006, Living Reviews in Solar Physics, 3, 1, doi: 10.12942/lrsp-2006-1
2006 doi
-
[51]
Marsch, E., Schwenn, R., Rosenbauer, H., et al. 1982, J. Geophys. Res., 87, 52, doi: 10.1029/JA087iA01p00052
1982 doi
-
[52]
2007, Geophys
Matteini, L., Landi, S., Hellinger, P., et al. 2007, Geophys. Res. Lett., 34, L20105, doi: 10.1029/2007GL030920
2007 doi
-
[53]
H., Parashar, T
Matthaeus, W. H., Parashar, T. N., Wan, M., & Wu, P. 2016, ApJL, 827, L7, doi: 10.3847/2041-8205/827/1/L7
2016 doi
-
[54]
H., Wan, M., Servidio, S., et al
Matthaeus, W. H., Wan, M., Servidio, S., et al. 2015, Philosophical Transactions of the Royal Society of London Series A, 373, 20140154, doi: 10.1098/rsta.2014.0154 PSP observation of alpha particles heating11
2015
-
[55]
H., Yang, Y., Wan, M., et al
Matthaeus, W. H., Yang, Y., Wan, M., et al. 2020, ApJ, 891, 101, doi: 10.3847/1538-4357/ab6d6a
2020 doi
-
[56]
H., Zank, G
Matthaeus, W. H., Zank, G. P., Oughton, S., Mullan, D. J., & Dmitruk, P. 1999, ApJL, 523, L93, doi: 10.1086/312259
1999 doi
-
[57]
2026, ApJ, 1004, 60, doi: 10.3847/1538-4357/ae69c9
Meng, S., & Yao, S. 2026, ApJ, 1004, 60, doi: 10.3847/1538-4357/ae69c9
2026 doi
-
[58]
K., Raouafi, N
Mostafavi, P., Jagarlamudi, V. K., Raouafi, N. E., et al. 2025, ApJL, 991, L35, doi: 10.3847/2041-8213/ae0732 M¨ uller, D., St. Cyr, O. C., Zouganelis, I., et al. 2020, A&A, 642, A1, doi: 10.1051/0004-6361/202038467
2025 doi
-
[59]
Opie, S., Verscharen, D., Chen, C. H. K., et al. 2024, Journal of Plasma Physics, 90, 905900602, doi: 10.1017/S0022377824001375
2024 doi
-
[60]
T., Matthaeus, W
Osman, K. T., Matthaeus, W. H., Greco, A., & Servidio, S. 2011, ApJL, 727, L11, doi: 10.1088/2041-8205/727/1/L11
2011 doi
-
[61]
T., Matthaeus, W
Osman, K. T., Matthaeus, W. H., Wan, M., & Rappazzo, A. F. 2012, PhRvL, 108, 261102, doi: 10.1103/PhysRevLett.108.261102
2012 doi
-
[62]
N., & Matthaeus, W
Parashar, T. N., & Matthaeus, W. H. 2022, Reviews of Modern Plasma Physics, 6, 41, doi: 10.1007/s41614-022-00097-x
2022 doi
-
[63]
2024, ApJ, 977, 27, doi: 10.3847/1538-4357/ad79fa
Peng, J., He, J., Duan, D., & Verscharen, D. 2024, ApJ, 977, 27, doi: 10.3847/1538-4357/ad79fa
2024 doi
-
[64]
2023, Frontiers in Astronomy and Space Sciences, 10, 1250219, doi: 10.3389/fspas.2023.1250219
Perri, S. 2023, Frontiers in Astronomy and Space Sciences, 10, 1250219, doi: 10.3389/fspas.2023.1250219
2023
-
[65]
2013, ApJ, 762, 99, doi: 10.1088/0004-637X/762/2/99
Perrone, D., Valentini, F., Servidio, S., Dalena, S., & Veltri, P. 2013, ApJ, 762, 99, doi: 10.1088/0004-637X/762/2/99
2013 doi
-
[66]
2011, ApJ, 741, 43, doi: 10.1088/0004-637X/741/1/43
Perrone, D., Valentini, F., & Veltri, P. 2011, ApJ, 741, 43, doi: 10.1088/0004-637X/741/1/43
2011 doi
-
[67]
2024, ApJ, 973, 171, doi: 10.3847/1538-4357/ad65db
Perrone, D., Settino, A., Perri, S., et al. 2024, ApJ, 973, 171, doi: 10.3847/1538-4357/ad65db
2024 doi
-
[68]
J., & Bale, S
Phillips, C., Bandyopadhyay, R., McComas, D. J., & Bale, S. D. 2023, MNRAS, 519, L1, doi: 10.1093/mnrasl/slac143
2023 doi
-
[69]
A., Maruca, B
Qudsi, R. A., Maruca, B. A., Matthaeus, W. H., et al. 2020, ApJS, 246, 46, doi: 10.3847/1538-4365/ab5c19
2020 doi
-
[70]
D., & Smith, C
Richardson, J. D., & Smith, C. W. 2003, Geophys. Res. Lett., 30, 1206, doi: 10.1029/2002GL016551
2003 doi
-
[71]
E., Hundhausen, A
Robbins, D. E., Hundhausen, A. J., & Bame, S. J. 1970, J. Geophys. Res., 75, 1178, doi: 10.1029/JA075i007p01178
1970 doi
-
[72]
W., Li, X., Alexandrova, O., & Li, B
Roberts, O. W., Li, X., Alexandrova, O., & Li, B. 2016, Journal of Geophysical Research (Space Physics), 121, 3870, doi: 10.1002/2015JA022248
2016 doi
-
[73]
2022, ApJ, 941, 137, doi: 10.3847/1538-4357/aca479
Roy, S., Bandyopadhyay, R., Yang, Y., et al. 2022, ApJ, 941, 137, doi: 10.3847/1538-4357/aca479
2022 doi
-
[74]
Scudder, J. D. 1992, ApJ, 398, 299, doi: 10.1086/171858
1992 doi
-
[75]
2012, PhRvL, 108, 045001, doi: 10.1103/PhysRevLett.108.045001
Servidio, S., Valentini, F., Califano, F., & Veltri, P. 2012, PhRvL, 108, 045001, doi: 10.1103/PhysRevLett.108.045001
2012 doi
-
[76]
2015, Journal of Plasma Physics, 81, 325810107, doi: 10.1017/S0022377814000841
Servidio, S., Valentini, F., Perrone, D., et al. 2015, Journal of Plasma Physics, 81, 325810107, doi: 10.1017/S0022377814000841
2015 doi
-
[77]
2022, ApJL, 935, L29, doi: 10.3847/2041-8213/ac85de
Sioulas, N., Shi, C., Huang, Z., & Velli, M. 2022, ApJL, 935, L29, doi: 10.3847/2041-8213/ac85de
2022 doi
-
[78]
2018a, SoPh, 293, 10, doi: 10.1007/s11207-017-1229-6
Sorriso-Valvo, L., Carbone, F., Perri, S., et al. 2018a, SoPh, 293, 10, doi: 10.1007/s11207-017-1229-6
-
[79]
2001, Planet
Sorriso-Valvo, L., Carbone, V., Giuliani, P., et al. 2001, Planet. Space Sci., 49, 1193, doi: 10.1016/S0032-0633(01)00060-5
2001 doi
-
[80]
2018b, Journal of Plasma Physics, 84, 725840201, doi: 10.1017/S0022377818000302
Sorriso-Valvo, L., Perrone, D., Pezzi, O., et al. 2018b, Journal of Plasma Physics, 84, 725840201, doi: 10.1017/S0022377818000302
-
[81]
2019, PhRvL, 122, 035102, doi: 10.1103/PhysRevLett.122.035102
Sorriso-Valvo, L., Catapano, F., Retin` o, A., et al. 2019, PhRvL, 122, 035102, doi: 10.1103/PhysRevLett.122.035102
2019 doi
-
[82]
Salem, C. S. 2019, A&A, 623, L2, doi: 10.1051/0004-6361/201834900
2019 doi
-
[83]
Teodorescu, E., Wawrzaszek, A., & Echim, M. M. 2026, ApJ, 999, 99, doi: 10.3847/1538-4357/ae3185
2026 doi
-
[84]
A., Matthaeus, W
Tessein, J. A., Matthaeus, W. H., Wan, M., et al. 2013, ApJL, 776, L8, doi: 10.1088/2041-8205/776/1/L8
2013 doi
-
[85]
J., Kasper, J
Tracy, P. J., Kasper, J. C., Zurbuchen, T. H., et al. 2015, ApJ, 812, 170, doi: 10.1088/0004-637X/812/2/170
2015 doi
-
[86]
1995, SSRv, 73, 1, doi: 10.1007/BF00748891
Tu, C.-Y., & Marsch, E. 1995, SSRv, 73, 1, doi: 10.1007/BF00748891
1995 doi
-
[87]
2016, New Journal of Physics, 18, 125001, doi: 10.1088/1367-2630/18/12/125001
Valentini, F., Perrone, D., Stabile, S., et al. 2016, New Journal of Physics, 18, 125001, doi: 10.1088/1367-2630/18/12/125001
2016 doi
-
[88]
Hollweg, J. V. 2015, ApJ, 806, 157, doi: 10.1088/0004-637X/806/2/157
2015 doi
-
[89]
G., & Maruca, B
Verscharen, D., Klein, K. G., & Maruca, B. A. 2019, Living Reviews in Solar Physics, 16, 5, doi: 10.1007/s41116-019-0021-0
2019 doi
-
[90]
2024, ApJ, 971, 88, doi: 10.3847/1538-4357/ad5288
Vinogradov, A., Alexandrova, O., D´ emoulin, P., et al. 2024, ApJ, 971, 88, doi: 10.3847/1538-4357/ad5288
2024 doi
-
[91]
H., Roytershteyn, V., et al
Wan, M., Matthaeus, W. H., Roytershteyn, V., et al. 2016, Physics of Plasmas, 23, 042307, doi: 10.1063/1.4945631
2016 doi
-
[92]
H., Karimabadi, H., et al
Wan, M., Matthaeus, W. H., Karimabadi, H., et al. 2012, PhRvL, 109, 195001, doi: 10.1103/PhysRevLett.109.195001
2012 doi
-
[93]
2019, ApJL, 871, L22, doi: 10.3847/2041-8213/aafe0d
Wang, T., Alexandrova, O., Perrone, D., et al. 2019, ApJL, 871, L22, doi: 10.3847/2041-8213/aafe0d
2019 doi
-
[94]
2013, ApJL, 772, L14, doi: 10.1088/2041-8205/772/2/L14 12Xi et al
Wang, X., Tu, C., He, J., Marsch, E., & Wang, L. 2013, ApJL, 772, L14, doi: 10.1088/2041-8205/772/2/L14 12Xi et al. 2026
2013 doi
-
[95]
D., et al
Woolley, T., Matteini, L., McManus, M. D., et al. 2021, MNRAS, 508, 236, doi: 10.1093/mnras/stab2281
2021 doi
-
[96]
2023, Physics of Plasmas, 30, 020501, doi: 10.1063/5.0121140
Wu, H., Tu, C., He, J., Wang, X., & Yang, L. 2023, Physics of Plasmas, 30, 020501, doi: 10.1063/5.0121140
2023 doi
-
[97]
2013, ApJL, 763, L30, doi: 10.1088/2041-8205/763/2/L30
Wu, P., Perri, S., Osman, K., et al. 2013, ApJL, 763, L30, doi: 10.1088/2041-8205/763/2/L30
2013 doi
-
[98]
Y., Parashar, T
Xiong, Q. Y., Parashar, T. N., Huang, S. Y., et al. 2024, ApJ, 968, 93, doi: 10.3847/1538-4357/ad4643
2024 doi
-
[99]
H., Parashar, T
Yang, Y., Matthaeus, W. H., Parashar, T. N., et al. 2017a, Physics of Plasmas, 24, 072306, doi: 10.1063/1.4990421 —. 2017b, PhRvE, 95, 061201, doi: 10.1103/PhysRevE.95.061201
-
[100]
S., Trotta, D., et al
Yang, Y., Horbury, T. S., Trotta, D., et al. 2025, ApJL, 994, L19, doi: 10.3847/2041-8213/ae173a
2025 doi
-
[101]
P., & Kilpua, E
Yordanova, E., V¨ or¨ os, Z., Sorriso-Valvo, L., Dimmock, A. P., & Kilpua, E. 2021, ApJ, 921, 65, doi: 10.3847/1538-4357/ac1942
2021 doi
-
[102]
P., Adhikari, L., Hunana, P., et al
Zank, G. P., Adhikari, L., Hunana, P., et al. 2017, ApJ, 835, 147, doi: 10.3847/1538-4357/835/2/147
2017 doi
-
[103]
P., Hunana, P., Mostafavi, P., et al
Zank, G. P., Hunana, P., Mostafavi, P., et al. 2015, ApJ, 814, 137, doi: 10.1088/0004-637X/814/2/137
2015 doi
-
[104]
Q., Feng, H
Zhao, G. Q., Feng, H. Q., Wu, D. J., et al. 2020, ApJL, 889, L14, doi: 10.3847/2041-8213/ab6b29
2020 doi
-
[105]
P., Chen, Y., et al
Zhao, L.-L., Zank, G. P., Chen, Y., et al. 2019, ApJ, 872, 4, doi: 10.3847/1538-4357/aafcb2
2019 doi
-
[106]
P., Khabarova, O., et al
Zhao, L.-L., Zank, G. P., Khabarova, O., et al. 2018, ApJL, 864, L34, doi: 10.3847/2041-8213/aaddf6
2018 doi
-
[107]
2018, ApJL, 852, L23, doi: 10.3847/2041-8213/aaa3d7
Zheng, J., & Hu, Q. 2018, ApJL, 852, L23, doi: 10.3847/2041-8213/aaa3d7
2018 doi
-
[108]
Zhou, M., Liu, Z., & Loureiro, N. F. 2023, MNRAS, 524, 5468, doi: 10.1093/mnras/stad2231
2023 doi
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