Show simple item record

dc.creatorSeshasayanan, Kannabiranen_US
dc.creatorBenavides, Santiago Joseen_US
dc.creatorAlexakis, Alexandrosen_US
dc.date.accessioned2017-07-18T20:11:05Z
dc.date.available2017-07-18T20:11:05Z
dc.date.issued2014-11en_US
dc.identifierdoi:10.15781/T2G44J59H
dc.identifier.citationSeshasayanan, Kannabiran, Santiago Jose Benavides, and Alexandros Alexakis. "On the edge of an inverse cascade." Physical Review E 90, no. 5 (2014): 051003.en_US
dc.identifier.issn1539-3755en_US
dc.identifier.urihttp://hdl.handle.net/2152/61159
dc.description.abstractWe demonstrate that systems with a parameter-controlled inverse cascade can exhibit critical behavior for which at the critical value of the control parameter the inverse cascade stops. In the vicinity of such a critical point, standard phenomenological estimates for the energy balance will fail since the energy flux towards large length scales becomes zero. We demonstrate this using the computationally tractable model of two-dimensional (2D) magnetohydrodynamics in a periodic box. In the absence of any external magnetic forcing, the system reduces to hydrodynamic fluid turbulence with an inverse energy cascade. In the presence of strong magnetic forcing, the system behaves as 2D magnetohydrodynamic turbulence with forward energy cascade. As the amplitude of the magnetic forcing is varied, a critical value is met for which the energy flux towards the large scales becomes zero. Close to this point, the energy flux scales as a power law with the departure from the critical point and the normalized amplitude of the fluctuations diverges. Similar behavior is observed for the flux of the square vector potential for which no inverse flux is observed for weak magnetic forcing, while a finite inverse flux is observed for magnetic forcing above the critical point. We conjecture that this behavior is generic for systems of variable inverse cascade.en_US
dc.description.sponsorshipRegion Ile de France x2014056421en_US
dc.description.sponsorshipproject EquipMeso ANR-10-EQPX-29-01en_US
dc.description.sponsorshipLabEx ENS-ICFP ANR-10-LABX-0010/ANR-10-IDEX-0001-02 PSLen_US
dc.description.sponsorshipCollege of Natural Sciences Summer Research Abroad Scholarship, University of Texas at Austinen_US
dc.language.isoEnglishen_US
dc.relation.ispartofUT Faculty/Researcher Worksen_US
dc.rightsAdministrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University.en_US
dc.subjectfully developed turbulenceen_US
dc.subjectmagnetohydrodynamic turbulenceen_US
dc.subjecttransitionen_US
dc.titleOn the edge of an inverse cascadeen_US
dc.typeArticleen_US
dc.description.departmentPhysicsen_US
dc.rights.restrictionopenen_US
dc.identifier.doi10.1103/PhysRevE.90.051003en_US
dc.contributor.utaustinauthorBenavides, Santiago Joseen_US
dc.relation.ispartofserialPhysical Review Een_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record