Decay of magnetohydrodynamic turbulence in the expanding solar wind: WIND observations Article Swipe
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1051/0004-6361/202450811
We have studied the decay of turbulence in the solar wind. Fluctuations carried by the expanding wind are naturally damped because of flux conservation, slowing down the development of a turbulent cascade. The latter also damps fluctuations but results in plasma heating. We analyzed time series of the velocity and magnetic field ( v and B , respectively) obtained by the WIND spacecraft at 1 au. Fluctuations were recast in terms of the Elsasser variables, z ± = v ± B /√4 πρ , with ρ being the average density, and their second- and third-order structure functions were used to evaluate the Politano-Pouquet relation, modified to account for the effect of expansion. We find that expansion plays a major role in the Alfvénic stream, those for which z + ≫ z − . In such a stream, expansion damping and turbulence damping act, respectively, on large and small scales for z + , and also balance each other. Instead, z − is only subject to a weak turbulent damping because expansion is a negligible loss at large scales and a weak source at inertial range scales. These properties are in qualitative agreement with the observed evolution of energy spectra that is described by a double power law separated by a break that sweeps toward lower frequencies for increasing heliocentric distances. However, the data at 1 au indicate that injection by sweeping is not enough to sustain the turbulent cascade. We derived approximate decay laws of energy with distance that suggest possible solutions for the inconsistency: in our analysis, we either overestimated the cascade of z ± or missed an additional injection mechanism; for example, velocity shear among streams.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1051/0004-6361/202450811
- OA Status
- hybrid
- Cited By
- 2
- References
- 70
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4402122878
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4402122878Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1051/0004-6361/202450811Digital Object Identifier
- Title
-
Decay of magnetohydrodynamic turbulence in the expanding solar wind: WIND observationsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-09-02Full publication date if available
- Authors
-
Andrea Verdini, Petr Hellinger, Simone Landi, Roland Grappin, Víctor Montagud-Camps, Emanuele PapiniList of authors in order
- Landing page
-
https://doi.org/10.1051/0004-6361/202450811Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.1051/0004-6361/202450811Direct OA link when available
- Concepts
-
Physics, Magnetohydrodynamic turbulence, Turbulence, Solar wind, Astrophysics, Magnetohydrodynamic drive, Magnetohydrodynamics, Astronomy, Solar physics, Coronal mass ejection, Meteorology, Plasma, Nuclear physicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
2Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 2Per-year citation counts (last 5 years)
- References (count)
-
70Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4402122878 |
|---|---|
| doi | https://doi.org/10.1051/0004-6361/202450811 |
| ids.doi | https://doi.org/10.1051/0004-6361/202450811 |
| ids.openalex | https://openalex.org/W4402122878 |
| fwci | 1.20023249 |
| type | article |
| title | Decay of magnetohydrodynamic turbulence in the expanding solar wind: WIND observations |
| biblio.issue | |
| biblio.volume | 690 |
| biblio.last_page | A265 |
| biblio.first_page | A265 |
| topics[0].id | https://openalex.org/T10251 |
| topics[0].field.id | https://openalex.org/fields/31 |
| topics[0].field.display_name | Physics and Astronomy |
| topics[0].score | 0.9922999739646912 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/3103 |
| topics[0].subfield.display_name | Astronomy and Astrophysics |
| topics[0].display_name | Solar and Space Plasma Dynamics |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C121332964 |
| concepts[0].level | 0 |
| concepts[0].score | 0.9177085161209106 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[0].display_name | Physics |
| concepts[1].id | https://openalex.org/C2781065038 |
| concepts[1].level | 4 |
| concepts[1].score | 0.7813806533813477 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q6731670 |
| concepts[1].display_name | Magnetohydrodynamic turbulence |
| concepts[2].id | https://openalex.org/C196558001 |
| concepts[2].level | 2 |
| concepts[2].score | 0.7299970984458923 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q190132 |
| concepts[2].display_name | Turbulence |
| concepts[3].id | https://openalex.org/C108411613 |
| concepts[3].level | 3 |
| concepts[3].score | 0.7241755127906799 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q79833 |
| concepts[3].display_name | Solar wind |
| concepts[4].id | https://openalex.org/C44870925 |
| concepts[4].level | 1 |
| concepts[4].score | 0.6434721350669861 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q37547 |
| concepts[4].display_name | Astrophysics |
| concepts[5].id | https://openalex.org/C42471609 |
| concepts[5].level | 4 |
| concepts[5].score | 0.626624584197998 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q1779048 |
| concepts[5].display_name | Magnetohydrodynamic drive |
| concepts[6].id | https://openalex.org/C31532427 |
| concepts[6].level | 3 |
| concepts[6].score | 0.5577062964439392 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q2549249 |
| concepts[6].display_name | Magnetohydrodynamics |
| concepts[7].id | https://openalex.org/C1276947 |
| concepts[7].level | 1 |
| concepts[7].score | 0.4891703426837921 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q333 |
| concepts[7].display_name | Astronomy |
| concepts[8].id | https://openalex.org/C183682340 |
| concepts[8].level | 2 |
| concepts[8].score | 0.4487980604171753 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q2043698 |
| concepts[8].display_name | Solar physics |
| concepts[9].id | https://openalex.org/C72886185 |
| concepts[9].level | 4 |
| concepts[9].score | 0.4164023995399475 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q129890 |
| concepts[9].display_name | Coronal mass ejection |
| concepts[10].id | https://openalex.org/C153294291 |
| concepts[10].level | 1 |
| concepts[10].score | 0.3339500427246094 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q25261 |
| concepts[10].display_name | Meteorology |
| concepts[11].id | https://openalex.org/C82706917 |
| concepts[11].level | 2 |
| concepts[11].score | 0.26485496759414673 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q10251 |
| concepts[11].display_name | Plasma |
| concepts[12].id | https://openalex.org/C185544564 |
| concepts[12].level | 1 |
| concepts[12].score | 0.08440461754798889 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q81197 |
| concepts[12].display_name | Nuclear physics |
| keywords[0].id | https://openalex.org/keywords/physics |
| keywords[0].score | 0.9177085161209106 |
| keywords[0].display_name | Physics |
| keywords[1].id | https://openalex.org/keywords/magnetohydrodynamic-turbulence |
| keywords[1].score | 0.7813806533813477 |
| keywords[1].display_name | Magnetohydrodynamic turbulence |
| keywords[2].id | https://openalex.org/keywords/turbulence |
| keywords[2].score | 0.7299970984458923 |
| keywords[2].display_name | Turbulence |
| keywords[3].id | https://openalex.org/keywords/solar-wind |
| keywords[3].score | 0.7241755127906799 |
| keywords[3].display_name | Solar wind |
| keywords[4].id | https://openalex.org/keywords/astrophysics |
| keywords[4].score | 0.6434721350669861 |
| keywords[4].display_name | Astrophysics |
| keywords[5].id | https://openalex.org/keywords/magnetohydrodynamic-drive |
| keywords[5].score | 0.626624584197998 |
| keywords[5].display_name | Magnetohydrodynamic drive |
| keywords[6].id | https://openalex.org/keywords/magnetohydrodynamics |
| keywords[6].score | 0.5577062964439392 |
| keywords[6].display_name | Magnetohydrodynamics |
| keywords[7].id | https://openalex.org/keywords/astronomy |
| keywords[7].score | 0.4891703426837921 |
| keywords[7].display_name | Astronomy |
| keywords[8].id | https://openalex.org/keywords/solar-physics |
| keywords[8].score | 0.4487980604171753 |
| keywords[8].display_name | Solar physics |
| keywords[9].id | https://openalex.org/keywords/coronal-mass-ejection |
| keywords[9].score | 0.4164023995399475 |
| keywords[9].display_name | Coronal mass ejection |
| keywords[10].id | https://openalex.org/keywords/meteorology |
| keywords[10].score | 0.3339500427246094 |
| keywords[10].display_name | Meteorology |
| keywords[11].id | https://openalex.org/keywords/plasma |
| keywords[11].score | 0.26485496759414673 |
| keywords[11].display_name | Plasma |
| keywords[12].id | https://openalex.org/keywords/nuclear-physics |
| keywords[12].score | 0.08440461754798889 |
| keywords[12].display_name | Nuclear physics |
| language | en |
| locations[0].id | doi:10.1051/0004-6361/202450811 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S205231332 |
| locations[0].source.issn | 0004-6361, 1432-0746 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | False |
| locations[0].source.issn_l | 0004-6361 |
| locations[0].source.is_core | True |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | Astronomy and Astrophysics |
| locations[0].source.host_organization | https://openalex.org/P4310319748 |
| locations[0].source.host_organization_name | EDP Sciences |
| locations[0].source.host_organization_lineage | https://openalex.org/P4310319748 |
| locations[0].source.host_organization_lineage_names | EDP Sciences |
| locations[0].license | cc-by |
| locations[0].pdf_url | |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | https://openalex.org/licenses/cc-by |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | Astronomy & Astrophysics |
| locations[0].landing_page_url | https://doi.org/10.1051/0004-6361/202450811 |
| locations[1].id | pmh:oai:flore.unifi.it:2158/1400810 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306402033 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | False |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | Florence Research (University of Florence) |
| locations[1].source.host_organization | https://openalex.org/I45084792 |
| locations[1].source.host_organization_name | University of Florence |
| locations[1].source.host_organization_lineage | https://openalex.org/I45084792 |
| locations[1].license | other-oa |
| locations[1].pdf_url | https://flore.unifi.it/bitstream/2158/1400810/1/2024.pdf |
| locations[1].version | submittedVersion |
| locations[1].raw_type | info:eu-repo/semantics/article |
| locations[1].license_id | https://openalex.org/licenses/other-oa |
| locations[1].is_accepted | False |
| locations[1].is_published | False |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://hdl.handle.net/2158/1400810 |
| locations[2].id | pmh:oai:HAL:hal-05146062v1 |
| locations[2].is_oa | True |
| locations[2].source.id | https://openalex.org/S4306402512 |
| locations[2].source.issn | |
| locations[2].source.type | repository |
| locations[2].source.is_oa | False |
| locations[2].source.issn_l | |
| locations[2].source.is_core | False |
| locations[2].source.is_in_doaj | False |
| locations[2].source.display_name | HAL (Le Centre pour la Communication Scientifique Directe) |
| locations[2].source.host_organization | https://openalex.org/I1294671590 |
| locations[2].source.host_organization_name | Centre National de la Recherche Scientifique |
| locations[2].source.host_organization_lineage | https://openalex.org/I1294671590 |
| locations[2].license | other-oa |
| locations[2].pdf_url | |
| locations[2].version | submittedVersion |
| locations[2].raw_type | Journal articles |
| locations[2].license_id | https://openalex.org/licenses/other-oa |
| locations[2].is_accepted | False |
| locations[2].is_published | False |
| locations[2].raw_source_name | Astronomy & Astrophysics - A&A, 2024, 690, pp.A265. ⟨10.1051/0004-6361/202450811⟩ |
| locations[2].landing_page_url | https://hal.science/hal-05146062 |
| indexed_in | crossref |
| authorships[0].author.id | https://openalex.org/A5002729867 |
| authorships[0].author.orcid | https://orcid.org/0000-0003-4380-4837 |
| authorships[0].author.display_name | Andrea Verdini |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Andrea Verdini |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5072348671 |
| authorships[1].author.orcid | https://orcid.org/0000-0002-5608-0834 |
| authorships[1].author.display_name | Petr Hellinger |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Petr Hellinger |
| authorships[1].is_corresponding | False |
| authorships[2].author.id | https://openalex.org/A5078303889 |
| authorships[2].author.orcid | https://orcid.org/0000-0002-1322-8712 |
| authorships[2].author.display_name | Simone Landi |
| authorships[2].author_position | middle |
| authorships[2].raw_author_name | Simone Landi |
| authorships[2].is_corresponding | False |
| authorships[3].author.id | https://openalex.org/A5000224718 |
| authorships[3].author.orcid | https://orcid.org/0000-0001-7847-3586 |
| authorships[3].author.display_name | Roland Grappin |
| authorships[3].author_position | middle |
| authorships[3].raw_author_name | Roland Grappin |
| authorships[3].is_corresponding | False |
| authorships[4].author.id | https://openalex.org/A5091372430 |
| authorships[4].author.orcid | https://orcid.org/0000-0002-7848-9200 |
| authorships[4].author.display_name | Víctor Montagud-Camps |
| authorships[4].author_position | middle |
| authorships[4].raw_author_name | Victor Montagud-Camps |
| authorships[4].is_corresponding | False |
| authorships[5].author.id | https://openalex.org/A5090088575 |
| authorships[5].author.orcid | https://orcid.org/0000-0002-7969-7415 |
| authorships[5].author.display_name | Emanuele Papini |
| authorships[5].author_position | last |
| authorships[5].raw_author_name | Emanuele Papini |
| authorships[5].is_corresponding | False |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://doi.org/10.1051/0004-6361/202450811 |
| open_access.oa_status | hybrid |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Decay of magnetohydrodynamic turbulence in the expanding solar wind: WIND observations |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T10251 |
| primary_topic.field.id | https://openalex.org/fields/31 |
| primary_topic.field.display_name | Physics and Astronomy |
| primary_topic.score | 0.9922999739646912 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/3103 |
| primary_topic.subfield.display_name | Astronomy and Astrophysics |
| primary_topic.display_name | Solar and Space Plasma Dynamics |
| related_works | https://openalex.org/W2017108505, https://openalex.org/W2050723690, https://openalex.org/W3167053506, https://openalex.org/W4389072463, https://openalex.org/W2080040962, https://openalex.org/W2086417016, https://openalex.org/W2081560761, https://openalex.org/W2471990058, https://openalex.org/W3016574422, https://openalex.org/W4220698095 |
| cited_by_count | 2 |
| counts_by_year[0].year | 2025 |
| counts_by_year[0].cited_by_count | 2 |
| locations_count | 3 |
| best_oa_location.id | doi:10.1051/0004-6361/202450811 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S205231332 |
| best_oa_location.source.issn | 0004-6361, 1432-0746 |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | False |
| best_oa_location.source.issn_l | 0004-6361 |
| best_oa_location.source.is_core | True |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | Astronomy and Astrophysics |
| best_oa_location.source.host_organization | https://openalex.org/P4310319748 |
| best_oa_location.source.host_organization_name | EDP Sciences |
| best_oa_location.source.host_organization_lineage | https://openalex.org/P4310319748 |
| best_oa_location.source.host_organization_lineage_names | EDP Sciences |
| best_oa_location.license | cc-by |
| best_oa_location.pdf_url | |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | Astronomy & Astrophysics |
| best_oa_location.landing_page_url | https://doi.org/10.1051/0004-6361/202450811 |
| primary_location.id | doi:10.1051/0004-6361/202450811 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S205231332 |
| primary_location.source.issn | 0004-6361, 1432-0746 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | False |
| primary_location.source.issn_l | 0004-6361 |
| primary_location.source.is_core | True |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | Astronomy and Astrophysics |
| primary_location.source.host_organization | https://openalex.org/P4310319748 |
| primary_location.source.host_organization_name | EDP Sciences |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310319748 |
| primary_location.source.host_organization_lineage_names | EDP Sciences |
| primary_location.license | cc-by |
| primary_location.pdf_url | |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Astronomy & Astrophysics |
| primary_location.landing_page_url | https://doi.org/10.1051/0004-6361/202450811 |
| publication_date | 2024-09-02 |
| publication_year | 2024 |
| referenced_works | https://openalex.org/W2993074608, https://openalex.org/W2732725437, https://openalex.org/W3129299403, https://openalex.org/W2045182027, https://openalex.org/W2058639030, https://openalex.org/W2007501245, https://openalex.org/W2070101453, https://openalex.org/W1986968107, https://openalex.org/W2084718975, https://openalex.org/W2992646639, https://openalex.org/W2165772985, https://openalex.org/W2039888088, https://openalex.org/W2087071585, https://openalex.org/W3176760194, https://openalex.org/W4283661451, https://openalex.org/W2153597601, https://openalex.org/W2061676582, https://openalex.org/W2027803998, https://openalex.org/W1995532303, https://openalex.org/W2603685213, https://openalex.org/W2115986060, https://openalex.org/W2095232842, https://openalex.org/W2042527412, https://openalex.org/W1635243293, https://openalex.org/W3153433773, https://openalex.org/W4391932684, https://openalex.org/W2083169771, https://openalex.org/W4380359081, https://openalex.org/W2172040771, https://openalex.org/W3005114881, https://openalex.org/W1972918696, https://openalex.org/W2024307259, https://openalex.org/W2785933708, https://openalex.org/W3081547483, https://openalex.org/W4306404622, https://openalex.org/W4389100100, https://openalex.org/W4323656130, https://openalex.org/W2896549139, https://openalex.org/W1969393206, https://openalex.org/W2162472845, https://openalex.org/W2047966874, https://openalex.org/W2072735950, https://openalex.org/W2009679534, https://openalex.org/W2159408693, https://openalex.org/W2040719784, https://openalex.org/W2024558273, https://openalex.org/W3120256161, https://openalex.org/W2047199325, https://openalex.org/W2002522947, https://openalex.org/W1963503245, https://openalex.org/W2014653274, https://openalex.org/W4313398989, https://openalex.org/W1981533735, https://openalex.org/W1990582330, https://openalex.org/W1973269811, https://openalex.org/W1996632477, https://openalex.org/W2901902040, https://openalex.org/W2084586025, https://openalex.org/W1993609130, https://openalex.org/W2144515950, https://openalex.org/W2947148823, https://openalex.org/W2049939214, https://openalex.org/W2069755001, https://openalex.org/W2051309549, https://openalex.org/W4298132504, https://openalex.org/W1969086459, https://openalex.org/W3107950537, https://openalex.org/W3160807103, https://openalex.org/W4220790302, https://openalex.org/W4213277747 |
| referenced_works_count | 70 |
| abstract_inverted_index.( | 52 |
| abstract_inverted_index.+ | 128, 151 |
| abstract_inverted_index., | 56, 83, 152 |
| abstract_inverted_index.. | 132 |
| abstract_inverted_index.1 | 64, 224 |
| abstract_inverted_index.= | 77 |
| abstract_inverted_index.B | 55, 80 |
| abstract_inverted_index.a | 29, 117, 135, 165, 172, 179, 203, 209 |
| abstract_inverted_index.v | 53, 78 |
| abstract_inverted_index.z | 75, 127, 130, 150, 159, 264 |
| abstract_inverted_index.In | 133 |
| abstract_inverted_index.We | 0, 42, 112, 239 |
| abstract_inverted_index.an | 268 |
| abstract_inverted_index.at | 63, 175, 182, 223 |
| abstract_inverted_index.au | 225 |
| abstract_inverted_index.by | 13, 59, 202, 208, 229 |
| abstract_inverted_index.in | 7, 39, 69, 120, 189, 255 |
| abstract_inverted_index.is | 161, 171, 200, 231 |
| abstract_inverted_index.of | 5, 21, 28, 46, 71, 110, 196, 244, 263 |
| abstract_inverted_index.on | 144 |
| abstract_inverted_index.or | 266 |
| abstract_inverted_index.to | 99, 105, 164, 234 |
| abstract_inverted_index.we | 258 |
| abstract_inverted_index.± | 76, 79, 265 |
| abstract_inverted_index.ρ | 85 |
| abstract_inverted_index.The | 32 |
| abstract_inverted_index.and | 49, 54, 90, 93, 139, 146, 153, 178 |
| abstract_inverted_index.are | 17, 188 |
| abstract_inverted_index.au. | 65 |
| abstract_inverted_index.but | 37 |
| abstract_inverted_index.for | 107, 125, 149, 216, 252, 272 |
| abstract_inverted_index.law | 206 |
| abstract_inverted_index.not | 232 |
| abstract_inverted_index.our | 256 |
| abstract_inverted_index.the | 3, 8, 14, 26, 47, 60, 72, 87, 101, 108, 121, 193, 221, 236, 253, 261 |
| abstract_inverted_index.− | 131, 160 |
| abstract_inverted_index.≫ | 129 |
| abstract_inverted_index.WIND | 61 |
| abstract_inverted_index.act, | 142 |
| abstract_inverted_index.also | 34, 154 |
| abstract_inverted_index.data | 222 |
| abstract_inverted_index.down | 25 |
| abstract_inverted_index.each | 156 |
| abstract_inverted_index.find | 113 |
| abstract_inverted_index.flux | 22 |
| abstract_inverted_index.have | 1 |
| abstract_inverted_index.laws | 243 |
| abstract_inverted_index.loss | 174 |
| abstract_inverted_index.only | 162 |
| abstract_inverted_index.role | 119 |
| abstract_inverted_index.such | 134 |
| abstract_inverted_index.that | 114, 199, 211, 227, 248 |
| abstract_inverted_index.time | 44 |
| abstract_inverted_index.used | 98 |
| abstract_inverted_index.weak | 166, 180 |
| abstract_inverted_index.were | 67, 97 |
| abstract_inverted_index.wind | 16 |
| abstract_inverted_index.with | 84, 192, 246 |
| abstract_inverted_index.πρ | 82 |
| abstract_inverted_index./√4 | 81 |
| abstract_inverted_index.These | 186 |
| abstract_inverted_index.among | 276 |
| abstract_inverted_index.being | 86 |
| abstract_inverted_index.break | 210 |
| abstract_inverted_index.damps | 35 |
| abstract_inverted_index.decay | 4, 242 |
| abstract_inverted_index.field | 51 |
| abstract_inverted_index.large | 145, 176 |
| abstract_inverted_index.lower | 214 |
| abstract_inverted_index.major | 118 |
| abstract_inverted_index.plays | 116 |
| abstract_inverted_index.power | 205 |
| abstract_inverted_index.range | 184 |
| abstract_inverted_index.shear | 275 |
| abstract_inverted_index.small | 147 |
| abstract_inverted_index.solar | 9 |
| abstract_inverted_index.terms | 70 |
| abstract_inverted_index.their | 91 |
| abstract_inverted_index.those | 124 |
| abstract_inverted_index.which | 126 |
| abstract_inverted_index.wind. | 10 |
| abstract_inverted_index.damped | 19 |
| abstract_inverted_index.double | 204 |
| abstract_inverted_index.effect | 109 |
| abstract_inverted_index.either | 259 |
| abstract_inverted_index.energy | 197, 245 |
| abstract_inverted_index.enough | 233 |
| abstract_inverted_index.latter | 33 |
| abstract_inverted_index.missed | 267 |
| abstract_inverted_index.other. | 157 |
| abstract_inverted_index.plasma | 40 |
| abstract_inverted_index.recast | 68 |
| abstract_inverted_index.scales | 148, 177 |
| abstract_inverted_index.series | 45 |
| abstract_inverted_index.source | 181 |
| abstract_inverted_index.sweeps | 212 |
| abstract_inverted_index.toward | 213 |
| abstract_inverted_index.account | 106 |
| abstract_inverted_index.average | 88 |
| abstract_inverted_index.balance | 155 |
| abstract_inverted_index.because | 20, 169 |
| abstract_inverted_index.carried | 12 |
| abstract_inverted_index.cascade | 262 |
| abstract_inverted_index.damping | 138, 141, 168 |
| abstract_inverted_index.derived | 240 |
| abstract_inverted_index.results | 38 |
| abstract_inverted_index.scales. | 185 |
| abstract_inverted_index.second- | 92 |
| abstract_inverted_index.slowing | 24 |
| abstract_inverted_index.spectra | 198 |
| abstract_inverted_index.stream, | 123, 136 |
| abstract_inverted_index.studied | 2 |
| abstract_inverted_index.subject | 163 |
| abstract_inverted_index.suggest | 249 |
| abstract_inverted_index.sustain | 235 |
| abstract_inverted_index.Elsasser | 73 |
| abstract_inverted_index.However, | 220 |
| abstract_inverted_index.Instead, | 158 |
| abstract_inverted_index.analyzed | 43 |
| abstract_inverted_index.cascade. | 31, 238 |
| abstract_inverted_index.density, | 89 |
| abstract_inverted_index.distance | 247 |
| abstract_inverted_index.evaluate | 100 |
| abstract_inverted_index.example, | 273 |
| abstract_inverted_index.heating. | 41 |
| abstract_inverted_index.indicate | 226 |
| abstract_inverted_index.inertial | 183 |
| abstract_inverted_index.magnetic | 50 |
| abstract_inverted_index.modified | 104 |
| abstract_inverted_index.observed | 194 |
| abstract_inverted_index.obtained | 58 |
| abstract_inverted_index.possible | 250 |
| abstract_inverted_index.streams. | 277 |
| abstract_inverted_index.sweeping | 230 |
| abstract_inverted_index.velocity | 48, 274 |
| abstract_inverted_index.Alfvénic | 122 |
| abstract_inverted_index.agreement | 191 |
| abstract_inverted_index.analysis, | 257 |
| abstract_inverted_index.described | 201 |
| abstract_inverted_index.evolution | 195 |
| abstract_inverted_index.expanding | 15 |
| abstract_inverted_index.expansion | 115, 137, 170 |
| abstract_inverted_index.functions | 96 |
| abstract_inverted_index.injection | 228, 270 |
| abstract_inverted_index.naturally | 18 |
| abstract_inverted_index.relation, | 103 |
| abstract_inverted_index.separated | 207 |
| abstract_inverted_index.solutions | 251 |
| abstract_inverted_index.structure | 95 |
| abstract_inverted_index.turbulent | 30, 167, 237 |
| abstract_inverted_index.additional | 269 |
| abstract_inverted_index.distances. | 219 |
| abstract_inverted_index.expansion. | 111 |
| abstract_inverted_index.increasing | 217 |
| abstract_inverted_index.mechanism; | 271 |
| abstract_inverted_index.negligible | 173 |
| abstract_inverted_index.properties | 187 |
| abstract_inverted_index.spacecraft | 62 |
| abstract_inverted_index.turbulence | 6, 140 |
| abstract_inverted_index.variables, | 74 |
| abstract_inverted_index.approximate | 241 |
| abstract_inverted_index.development | 27 |
| abstract_inverted_index.frequencies | 215 |
| abstract_inverted_index.qualitative | 190 |
| abstract_inverted_index.third-order | 94 |
| abstract_inverted_index.Fluctuations | 11, 66 |
| abstract_inverted_index.fluctuations | 36 |
| abstract_inverted_index.heliocentric | 218 |
| abstract_inverted_index.conservation, | 23 |
| abstract_inverted_index.overestimated | 260 |
| abstract_inverted_index.respectively) | 57 |
| abstract_inverted_index.respectively, | 143 |
| abstract_inverted_index.inconsistency: | 254 |
| abstract_inverted_index.Politano-Pouquet | 102 |
| cited_by_percentile_year.max | 97 |
| cited_by_percentile_year.min | 95 |
| countries_distinct_count | 0 |
| institutions_distinct_count | 6 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.8600000143051147 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile.value | 0.76859889 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |