Relativistic magnetohydrodynamics

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dc.contributor.authorHernandez, Juan
dc.contributor.authorKovtun, Pavel
dc.date.accessioned2018-08-20T19:14:45Z
dc.date.available2018-08-20T19:14:45Z
dc.date.copyright2017en_US
dc.date.issued2017-05
dc.description.abstractWe present the equations of relativistic hydrodynamics coupled to dynamical electromagnetic fields, including the effects of polarization, electric fields, and the derivative expansion. We enumerate the transport coefficients at leading order in derivatives, including electrical conductivities, viscosities, and thermodynamic coefficients. We find the constraints on transport coefficients due to the positivity of entropy production, and derive the corresponding Kubo formulas. For the neutral state in a magnetic field, small fluctuations include Alfven waves, magnetosonic waves, and the dissipative modes. For the state with a non-zero dynamical charge density in a magnetic field, plasma oscillations gap out all propagating modes, except for Alfven-like waves with a quadratic dispersion relation. We relate the transport coefficients in the "conventional" magnetohydrodynamics (formulated using Maxwell's equations in matter) to those in the "dual" version of magnetohydrodynamics (formulated using the conserved magnetic flux).en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipWe thank the Perimeter Institute for Theoretical Physics where a large part of this work was completed. We thank the authors of refs. [22, 26] for discussing their papers and the connections to our work. We thank Shira Chapman, Kristan Jensen, and Adam Ritz for helpful conversations. This work was supported in part by NSERC of Canada.en_US
dc.identifier.citationHernandez, J. & Kovtun, P. (2017). Relativistic magnetohydrodynamics. Journal of High Energy Physics, 2017(5), article 1. http://dx.doi.org/10.1007/JHEP05(2017)001en_US
dc.identifier.urihttp://dx.doi.org/10.1007/JHEP05(2017)001
dc.identifier.urihttp://hdl.handle.net/1828/9934
dc.language.isoenen_US
dc.publisherJournal of High Energy Physicsen_US
dc.subjectholography and quark-gluon plasmasen_US
dc.subjectThermal Field Theoryen_US
dc.titleRelativistic magnetohydrodynamicsen_US
dc.typeArticleen_US

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