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Overcoming obstacles in nonequilibrium holography

Overcoming obstacles in nonequilibrium holography
Overcoming obstacles in nonequilibrium holography
We study universal spatial features of certain non-equilibrium steady states corresponding to flows of strongly correlated fluids over obstacles. This allows us to predict universal spatial features of far-from-equilibrium systems, which in certain interesting cases depend cleanly on the hydrodynamic transport coefficients of the underlying theory, such as $\eta/s$, the shear viscosity to entropy density ratio. In this work we give a purely field-theoretical definition of the spatial collective modes identified earlier and proceed to demonstrate their usefulness in a set of examples, drawing on hydrodynamic theory as well as holographic duality. We extend our earlier treatment by adding a finite chemical potential, which introduces a qualitatively new feature, namely damped oscillatory behavior in space. We find interesting transitions between oscillatory and damped regimes and we consider critical exponents associated with these. We explain in detail the numerical method and add a host of new examples, including fully analytical ones. Such a treatment is possible in the large-dimension limit of the bulk theory, as well as in three dimensions, where we also exhibit a fully analytic non-linear example that beautifully illustrates the original proposal of spatial universality. This allows us to explicitly demonstrate how an infinite tower of discrete modes condenses into a branch cut in the zero-temperature limit, converting exponential decay into a power law tail.
Holography, Gravity, holography and condensed matter physics (AdS/CMT)
2470-0029
Novak, Igor
afdb73c5-b8de-4afa-b755-2623d482d2c8
Sonner, Julian
1d2008de-dbc3-4231-95e6-a3d2ec93d3c1
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Novak, Igor
afdb73c5-b8de-4afa-b755-2623d482d2c8
Sonner, Julian
1d2008de-dbc3-4231-95e6-a3d2ec93d3c1
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9

Novak, Igor, Sonner, Julian and Withers, Benjamin (2018) Overcoming obstacles in nonequilibrium holography. Physical Review D, 98 (8), [086023]. (doi:10.1103/PhysRevD.98.086023).

Record type: Article

Abstract

We study universal spatial features of certain non-equilibrium steady states corresponding to flows of strongly correlated fluids over obstacles. This allows us to predict universal spatial features of far-from-equilibrium systems, which in certain interesting cases depend cleanly on the hydrodynamic transport coefficients of the underlying theory, such as $\eta/s$, the shear viscosity to entropy density ratio. In this work we give a purely field-theoretical definition of the spatial collective modes identified earlier and proceed to demonstrate their usefulness in a set of examples, drawing on hydrodynamic theory as well as holographic duality. We extend our earlier treatment by adding a finite chemical potential, which introduces a qualitatively new feature, namely damped oscillatory behavior in space. We find interesting transitions between oscillatory and damped regimes and we consider critical exponents associated with these. We explain in detail the numerical method and add a host of new examples, including fully analytical ones. Such a treatment is possible in the large-dimension limit of the bulk theory, as well as in three dimensions, where we also exhibit a fully analytic non-linear example that beautifully illustrates the original proposal of spatial universality. This allows us to explicitly demonstrate how an infinite tower of discrete modes condenses into a branch cut in the zero-temperature limit, converting exponential decay into a power law tail.

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More information

Accepted/In Press date: 22 June 2018
Published date: 26 October 2018
Keywords: Holography, Gravity, holography and condensed matter physics (AdS/CMT)

Identifiers

Local EPrints ID: 435830
URI: http://eprints.soton.ac.uk/id/eprint/435830
ISSN: 2470-0029
PURE UUID: 3d318896-b6a0-4deb-8416-0e4f09251d99

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Date deposited: 21 Nov 2019 17:30
Last modified: 21 Nov 2019 17:30

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