Coherent Structures and Spectral Energy Transfer in Turbulent Plasma: A Space-Filter Approach. Camporeale, E., Sorriso-Valvo, L., Califano, F., & Retino, A. PHYSICAL REVIEW LETTERS, MAR 19, 2018. doi abstract bibtex Plasma turbulence at scales of the order of the ion inertial length is mediated by several mechanisms, including linear wave damping, magnetic reconnection, the formation and dissipation of thin current sheets, and stochastic heating. It is now understood that the presence of localized coherent structures enhances the dissipation channels and the kinetic features of the plasma. However, no formal way of quantifying the relationship between scale-to-scale energy transfer and the presence of spatial structures has been presented so far. In the Letter we quantify such a relationship analyzing the results of a two-dimensional high-resolution Hall magnetohydrodynamic simulation. In particular, we employ the technique of space filtering to derive a spectral energy flux term which defines, in any point of the computational domain, the signed flux of spectral energy across a given wave number. The characterization of coherent structures is performed by means of a traditional two-dimensional wavelet transformation. By studying the correlation between the spectral energy flux and the wavelet amplitude, we demonstrate the strong relationship between scale-to-scale transfer and coherent structures. Furthermore, by conditioning one quantity with respect to the other, we are able for the first time to quantify the inhomogeneity of the turbulence cascade induced by topological structures in the magnetic field. Taking into account the low space-filling factor of coherent structures (i.e., they cover a small portion of space), it emerges that 80% of the spectral energy transfer (both in the direct and inverse cascade directions) is localized in about 50% of space, and 50% of the energy transfer is localized in only 25% of space.
@article{ ISI:000427804000007,
Author = {Camporeale, E. and Sorriso-Valvo, L. and Califano, F. and Retino, A.},
Title = {{Coherent Structures and Spectral Energy Transfer in Turbulent Plasma: A
Space-Filter Approach}},
Journal = {{PHYSICAL REVIEW LETTERS}},
Year = {{2018}},
Volume = {{120}},
Number = {{12}},
Month = {{MAR 19}},
Abstract = {{Plasma turbulence at scales of the order of the ion inertial length is
mediated by several mechanisms, including linear wave damping, magnetic
reconnection, the formation and dissipation of thin current sheets, and
stochastic heating. It is now understood that the presence of localized
coherent structures enhances the dissipation channels and the kinetic
features of the plasma. However, no formal way of quantifying the
relationship between scale-to-scale energy transfer and the presence of
spatial structures has been presented so far. In the Letter we quantify
such a relationship analyzing the results of a two-dimensional
high-resolution Hall magnetohydrodynamic simulation. In particular, we
employ the technique of space filtering to derive a spectral energy flux
term which defines, in any point of the computational domain, the signed
flux of spectral energy across a given wave number. The characterization
of coherent structures is performed by means of a traditional
two-dimensional wavelet transformation. By studying the correlation
between the spectral energy flux and the wavelet amplitude, we
demonstrate the strong relationship between scale-to-scale transfer and
coherent structures. Furthermore, by conditioning one quantity with
respect to the other, we are able for the first time to quantify the
inhomogeneity of the turbulence cascade induced by topological
structures in the magnetic field. Taking into account the low
space-filling factor of coherent structures (i.e., they cover a small
portion of space), it emerges that 80\% of the spectral energy transfer
(both in the direct and inverse cascade directions) is localized in
about 50\% of space, and 50\% of the energy transfer is localized in
only 25\% of space.}},
DOI = {{10.1103/PhysRevLett.120.125101}},
Article-Number = {{125101}},
ISSN = {{0031-9007}},
EISSN = {{1079-7114}},
ResearcherID-Numbers = {{Sorriso-Valvo, Luca/A-9355-2008
Pegoraro, Francesco/AAF-1392-2020}},
ORCID-Numbers = {{Sorriso-Valvo, Luca/0000-0002-5981-7758
Pegoraro, Francesco/0000-0002-7216-5491}},
Unique-ID = {{ISI:000427804000007}},
}
Downloads: 0
{"_id":"NxGWs5kjJAiq8xfP9","bibbaseid":"camporeale-sorrisovalvo-califano-retino-coherentstructuresandspectralenergytransferinturbulentplasmaaspacefilterapproach-2018","authorIDs":[],"author_short":["Camporeale, E.","Sorriso-Valvo, L.","Califano, F.","Retino, A."],"bibdata":{"bibtype":"article","type":"article","author":[{"propositions":[],"lastnames":["Camporeale"],"firstnames":["E."],"suffixes":[]},{"propositions":[],"lastnames":["Sorriso-Valvo"],"firstnames":["L."],"suffixes":[]},{"propositions":[],"lastnames":["Califano"],"firstnames":["F."],"suffixes":[]},{"propositions":[],"lastnames":["Retino"],"firstnames":["A."],"suffixes":[]}],"title":"Coherent Structures and Spectral Energy Transfer in Turbulent Plasma: A Space-Filter Approach","journal":"PHYSICAL REVIEW LETTERS","year":"2018","volume":"120","number":"12","month":"MAR 19","abstract":"Plasma turbulence at scales of the order of the ion inertial length is mediated by several mechanisms, including linear wave damping, magnetic reconnection, the formation and dissipation of thin current sheets, and stochastic heating. It is now understood that the presence of localized coherent structures enhances the dissipation channels and the kinetic features of the plasma. However, no formal way of quantifying the relationship between scale-to-scale energy transfer and the presence of spatial structures has been presented so far. In the Letter we quantify such a relationship analyzing the results of a two-dimensional high-resolution Hall magnetohydrodynamic simulation. In particular, we employ the technique of space filtering to derive a spectral energy flux term which defines, in any point of the computational domain, the signed flux of spectral energy across a given wave number. The characterization of coherent structures is performed by means of a traditional two-dimensional wavelet transformation. By studying the correlation between the spectral energy flux and the wavelet amplitude, we demonstrate the strong relationship between scale-to-scale transfer and coherent structures. Furthermore, by conditioning one quantity with respect to the other, we are able for the first time to quantify the inhomogeneity of the turbulence cascade induced by topological structures in the magnetic field. Taking into account the low space-filling factor of coherent structures (i.e., they cover a small portion of space), it emerges that 80% of the spectral energy transfer (both in the direct and inverse cascade directions) is localized in about 50% of space, and 50% of the energy transfer is localized in only 25% of space.","doi":"10.1103/PhysRevLett.120.125101","article-number":"125101","issn":"0031-9007","eissn":"1079-7114","researcherid-numbers":"Sorriso-Valvo, Luca/A-9355-2008 Pegoraro, Francesco/AAF-1392-2020","orcid-numbers":"Sorriso-Valvo, Luca/0000-0002-5981-7758 Pegoraro, Francesco/0000-0002-7216-5491","unique-id":"ISI:000427804000007","bibtex":"@article{ ISI:000427804000007,\nAuthor = {Camporeale, E. and Sorriso-Valvo, L. and Califano, F. and Retino, A.},\nTitle = {{Coherent Structures and Spectral Energy Transfer in Turbulent Plasma: A\n Space-Filter Approach}},\nJournal = {{PHYSICAL REVIEW LETTERS}},\nYear = {{2018}},\nVolume = {{120}},\nNumber = {{12}},\nMonth = {{MAR 19}},\nAbstract = {{Plasma turbulence at scales of the order of the ion inertial length is\n mediated by several mechanisms, including linear wave damping, magnetic\n reconnection, the formation and dissipation of thin current sheets, and\n stochastic heating. It is now understood that the presence of localized\n coherent structures enhances the dissipation channels and the kinetic\n features of the plasma. However, no formal way of quantifying the\n relationship between scale-to-scale energy transfer and the presence of\n spatial structures has been presented so far. In the Letter we quantify\n such a relationship analyzing the results of a two-dimensional\n high-resolution Hall magnetohydrodynamic simulation. In particular, we\n employ the technique of space filtering to derive a spectral energy flux\n term which defines, in any point of the computational domain, the signed\n flux of spectral energy across a given wave number. The characterization\n of coherent structures is performed by means of a traditional\n two-dimensional wavelet transformation. By studying the correlation\n between the spectral energy flux and the wavelet amplitude, we\n demonstrate the strong relationship between scale-to-scale transfer and\n coherent structures. Furthermore, by conditioning one quantity with\n respect to the other, we are able for the first time to quantify the\n inhomogeneity of the turbulence cascade induced by topological\n structures in the magnetic field. Taking into account the low\n space-filling factor of coherent structures (i.e., they cover a small\n portion of space), it emerges that 80\\% of the spectral energy transfer\n (both in the direct and inverse cascade directions) is localized in\n about 50\\% of space, and 50\\% of the energy transfer is localized in\n only 25\\% of space.}},\nDOI = {{10.1103/PhysRevLett.120.125101}},\nArticle-Number = {{125101}},\nISSN = {{0031-9007}},\nEISSN = {{1079-7114}},\nResearcherID-Numbers = {{Sorriso-Valvo, Luca/A-9355-2008\n Pegoraro, Francesco/AAF-1392-2020}},\nORCID-Numbers = {{Sorriso-Valvo, Luca/0000-0002-5981-7758\n Pegoraro, Francesco/0000-0002-7216-5491}},\nUnique-ID = {{ISI:000427804000007}},\n}\n\n","author_short":["Camporeale, E.","Sorriso-Valvo, L.","Califano, F.","Retino, A."],"key":"ISI:000427804000007","id":"ISI:000427804000007","bibbaseid":"camporeale-sorrisovalvo-califano-retino-coherentstructuresandspectralenergytransferinturbulentplasmaaspacefilterapproach-2018","role":"author","urls":{},"downloads":0},"bibtype":"article","biburl":"http://nanotec.cnr.it/data/nanotec/nanotec-with-abstract.bib","creationDate":"2020-04-21T16:04:30.356Z","downloads":0,"keywords":[],"search_terms":["coherent","structures","spectral","energy","transfer","turbulent","plasma","space","filter","approach","camporeale","sorriso-valvo","califano","retino"],"title":"Coherent Structures and Spectral Energy Transfer in Turbulent Plasma: A Space-Filter Approach","year":2018,"dataSources":["qabHv7MDBiEn82jCu"]}