dc.contributor |
University of Iceland |
dc.contributor |
Háskóli Íslands |
dc.contributor.advisor |
Lárus Thorlacius |
dc.contributor.author |
Rajagopal, Aruna |
dc.date.accessioned |
2021-05-27T13:43:44Z |
dc.date.available |
2021-05-27T13:43:44Z |
dc.date.issued |
2021-05 |
dc.identifier.uri |
https://hdl.handle.net/20.500.11815/2591 |
dc.description.abstract |
In this thesis, we explore the role of symmetries in hydrodynamics by studying certain
properties of relativistic and non-relativistic fluids. In the first part of the thesis, we
examine the theory of relativistic magnetohydrodynamics (Maxwell electromagnetism
coupled to hydrodynamics) and its low temperature incarnation, force-free electrodynamics, reformulated in the language of higher-form symmetries and discuss the
advantages of such a scheme. Using this framework, we analyse the regime of validity
of force-free electrodynamics by evaluating the lifetime of the non-conserved electric
field operator via a holographic model sharing the same global symmetries as that of a
plasma. We are able to explicitly calculate the lifetime of the electric field, both parallel
and perpendicular to the magnetic field, and find that there are indeed no long-lived
modes that interfere with a hydrodynamic description of force-free electrodynamics. In
the second part of the thesis, we study the thermodynamic properties of non-relativistic
Lifshitz fluids with an arbitrary dynamic exponent z (encoding the anisotropy in the
scaling of time and space coordinates). We study energy transport in such fluids far from
equilibrium after performing a local quench between two semi-infinite fluid reservoirs.
We find that the late time energy flow is universal and accommodated via a steady
state occupying an expanding central region between outgoing shock and rarefaction
waves (a non-equilibrium steady state), as seen previously for relativistic scale invariant
fluids. Armed with an equation of state for a perfect Lifshitz fluid with an arbitrary z
and moving with a velocity v, we proceed to study its holographic dual using the well established Einstein-Maxwell-Dilaton model. We find that the fluid velocity appears
as the chemical potential, conjugate to the dual momentum density and the solutions
represent a physically distinct class of black branes possessing a linear momentum,
different from boosting a static brane. |
dc.language.iso |
en |
dc.publisher |
University of Iceland, School of Engineering and Natural Sciences, Faculty of Physical Sciences |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
High Energy Physics |
dc.subject |
Mathematical Physics |
dc.subject |
Hydrodynamics |
dc.subject |
Gauge-gravity duality |
dc.subject |
Atómfræði |
dc.subject |
Stærðfræðileg eðlisfræði |
dc.subject |
Straumfræði |
dc.subject |
Eðlisfræði |
dc.subject |
Doktorsritgerðir |
dc.title |
Out-of-equilibrium hydrodynamics with and without boost symmetry |
dc.type |
info:eu-repo/semantics/doctoralThesis |
dc.contributor.department |
Raunvísindadeild (HÍ) |
dc.contributor.department |
Faculty of Physical Sciences (UI) |
dc.contributor.school |
Verkfræði- og náttúruvísindasvið (HÍ) |
dc.contributor.school |
School of Engineering and Natural Sciences (UI) |