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Depositordc.contributorHo, Richard
Funderdc.contributor.otherEPSRC - Engineering and Physical Sciences Research Councilen_UK
Funderdc.contributor.otherSTFC - Science and Technology Facilities Councilen_UK
Data Creatordc.creatorHo, Richard DJG
Date Accessioneddc.date.accessioned2018-08-10T16:37:16Z
Date Availabledc.date.available2018-08-10T16:37:16Z
Citationdc.identifier.citationHo, Richard. (2018). Chaotic behaviour of Eulerian MHD turbulence, [dataset]. University of Edinburgh. School of Physics and Astronomy. https://doi.org/10.7488/ds/2410.en
Persistent Identifierdc.identifier.urihttp://hdl.handle.net/10283/3152
Persistent Identifierdc.identifier.urihttps://doi.org/10.7488/ds/2410
Dataset Description (abstract)dc.description.abstractWe study the chaos of a turbulent conducting fluid using direct numerical simulation in the Eulerian frame. We predict that the Lyapunov exponent, which measures the exponential separation of initially close solutions of the magnetohydrodynamic equations, is proportional to the inverse of the Kolmogorov microscale time and also obtain new results for this relation in hydrodynamic turbulence, specifically deriving a previously unknown co-efficient. These predictions agree with simulation results. The simulations also show a diminution of chaos from the introduction of magnetic helicity, which is expected to be eliminated at maximum helicity. Linear growth of the difference between fields was recently found in hydrodynamics and we find here that it extends to the magnetic and velocity fields, with growth rates dependent on the dissipation rate of the relevant field. We infer that the chaos in the system is totally dominated by the velocity field and connect this work to real magnetic systems such as solar weather and confined plasmas.en_UK
Dataset Description (TOC)dc.description.tableofcontentsreadme.txten_UK
Languagedc.language.isoengen_UK
Publisherdc.publisherUniversity of Edinburgh. School of Physics and Astronomyen_UK
Relation (Is Referenced By)dc.relation.isreferencedbyhttps://arxiv.org/abs/1808.03632
Relation (Is Referenced By)dc.relation.isreferencedby"Chaotic behavior of Eulerian MHD turbulence" Richard Ho, Arjun Berera, Daniel Clark arXiv:1808.03632 [physics.flu-dyn]
Rightsdc.rightsCreative Commons Attribution 4.0 International Public Licenseen
Subjectdc.subjectMagnetohydrodynamic Turbulenceen_UK
Subjectdc.subjectChaos
Subject Classificationdc.subject.classificationPhysical Sciencesen_UK
Titledc.titleChaotic behaviour of Eulerian MHD turbulenceen_UK
Typedc.typedataseten_UK

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