23 research outputs found
Viscous Asymptotically Flat Reissner-Nordstr\"om Black Branes
We study electrically charged asymptotically flat black brane solutions whose
world-volume fields are slowly varying with the coordinates. Using familiar
techniques, we compute the transport coefficients of the fluid dynamic
derivative expansion to first order. We show how the shear and bulk viscosities
are modified in the presence of electric charge and we compute the charge
diffusion constant which is not present for the neutral black p-brane. We
compute the first order dispersion relations of the effective fluid. For small
values of the charge the speed of sound is found to be imaginary and the brane
is thus Gregory-Laflamme unstable as expected. For sufficiently large values of
the charge, the sound mode becomes stable, however, in this regime the
hydrodynamic mode associated with charge diffusion is found to be unstable. The
electrically charged brane is thus found to be (classically) unstable for all
values of the charge density in agreement with general thermodynamic arguments.
Finally, we show that the shear viscosity to entropy bound is saturated, as
expected, while the proposed bounds for the bulk viscosity to entropy can be
violated in certain regimes of the charge of the brane.Comment: 28 pages, 2 figure. v3: Small changes and a few typos correcte
Electroelasticity of Charged Black Branes
We present the first-order corrected dynamics of fluid branes carrying
higher-form charge by obtaining the general form of their equations of motion
to pole-dipole order. Assuming linear response theory, we characterize the
corresponding effective theory of stationary bent charged (an)isotropic fluid
branes in terms of two sets of response coefficients, the Young modulus and the
piezoelectric moduli. We subsequently find large classes of examples in gravity
of this effective theory, by constructing stationary strained charged black
brane solutions to first order in a derivative expansion. Using solution
generating techniques and bent neutral black branes as a seed solution, we
obtain a class of charged black brane geometries carrying smeared Maxwell
charge in Einstein-Maxwell-dilaton gravity. In the specific case of
ten-dimensional space-time we furthermore use T-duality to generate bent black
branes with higher-form charge, including smeared D-branes of type II string
theory. By subsequently measuring the bending moment and the electric dipole
moment which these geometries acquire due to the strain, we uncover that their
form is captured by classical electroelasticity theory. In particular, we find
that the Young modulus and the piezoelectric moduli of our strained charged
black brane solutions are parameterized by a total of 4 response coefficients,
both for the isotropic as well as anisotropic cases.Comment: v2: 40pp; typos fixe
Probing the Hydrodynamic Limit of (Super)gravity
We study the long-wavelength effective description of two general classes of
charged dilatonic (asymptotically flat) black p-branes including D/NS/M-branes
in ten and eleven dimensional supergravity. In particular, we consider
gravitational brane solutions in a hydrodynamic derivative expansion (to first
order) for arbitrary dilaton coupling and for general brane and co-dimension
and determine their effective electro-fluid-dynamic descriptions by exacting
the characterizing transport coefficients. We also investigate the stability
properties of the corresponding hydrodynamic systems by analyzing their
response to small long-wavelength perturbations. For branes carrying unsmeared
charge, we find that in a certain regime of parameter space there exists a
branch of stable charged configurations. This is in accordance with the
expectation that D/NS/M-branes have stable configurations, except for the D5,
D6, and NS5. In contrast, we find that Maxwell charged brane configurations are
Gregory-Laflamme unstable independently of the charge and, in particular,
verify that smeared configurations of D0-branes are unstable. Finally, we
provide a modification to the mapping presented in arxiv:1211.2815 and utilize
it to provide a non-trivial cross-check on a certain subset of our transport
coefficients with the results of arXiv:1110.2320.Comment: 36 pages, 2 figures. v2: Added reference and corrected typ
Consistency in Drift-ordered Fluid Equations
We address several concerns related to the derivation of drift-ordered fluid
equations. Starting from a fully Galilean invariant fluid system, we show how
consistent sets of perturbative drift-fluid equations in the case of a
isothermal collisionless fluid can be obtained. Treating all the dynamical
fields on equal footing in the singular-drift expansion, we show under what
conditions a set of perturbative equations can have a non-trivial quasi-neutral
limit. We give a suitable perturbative setup where we provide the full set of
perturbative equations for obtaining the first-order corrected fields and show
that all the constants of motion are preserved at each order. With the
dynamical field variables under perturbative control, we subsequently provide a
quantitative analysis by means of numerical simulations. With direct access to
first-order corrections the convergence properties are addressed for different
regimes of parameter space and the validity of the first-order approximation is
discussed in the three settings: cold ions, hot ions and finite charge density.Comment: 22 page
Holographic Models for Theories with Hyperscaling Violation
We study in detail a variety of gravitational toy models for
hyperscaling-violating Lifshitz (hvLif) space-times. These space-times have
been recently explored as holographic dual models for condensed matter systems.
We start by considering a model of gravity coupled to a massive vector field
and a dilaton with a potential. This model supports the full class of hvLif
space-times and special attention is given to the particular values of the
scaling exponents appearing in certain non-Fermi liquids. We study linearized
perturbations in this model, and consider probe fields whose interactions mimic
those of the perturbations. The resulting equations of motion for the probe
fields are invariant under the Lifshitz scaling. We derive
Breitenlohner-Freedman-type bounds for these new probe fields. For the cases of
interest the hvLif space-times have curvature invariants that blow up in the
UV. We study the problem of constructing models in which the hvLif space-time
can have an AdS or Lifshitz UV completion. We also analyze reductions of
Schroedinger space-times and reductions of waves on extremal (intersecting)
branes, accompanied by transverse space reductions, that are solutions to
supergravity-like theories, exploring the allowed parameter range of the hvLif
scaling exponents.Comment: version 3: matches published versio
Black Branes as Piezoelectrics
We find a realization of linear electroelasticity theory in gravitational
physics by uncovering a new response coefficient of charged black branes,
exhibiting their piezoelectric behavior. Taking charged dilatonic black strings
as an example and using the blackfold approach we measure their elastic and
piezolectric moduli. We also use our results to draw predictions about the
equilibrium condition of charged dilatonic black rings in dimensions higher
than six.Comment: v2: 9 pages; important sign corrections in section 3 and other minor
corrections; published in PR
The Computational 2D Materials Database: High-Throughput Modeling and Discovery of Atomically Thin Crystals
We introduce the Computational 2D Materials Database (C2DB), which organises
a variety of structural, thermodynamic, elastic, electronic, magnetic, and
optical properties of around 1500 two-dimensional materials distributed over
more than 30 different crystal structures. Material properties are
systematically calculated by state-of-the art density functional theory and
many-body perturbation theory (GW\!_0 and the Bethe-Salpeter Equation
for 200 materials) following a semi-automated workflow for maximal
consistency and transparency. The C2DB is fully open and can be browsed online
or downloaded in its entirety. In this paper, we describe the workflow behind
the database, present an overview of the properties and materials currently
available, and explore trends and correlations in the data. Moreover, we
identify a large number of new potentially synthesisable 2D materials with
interesting properties targeting applications within spintronics,
(opto-)electronics, and plasmonics. The C2DB offers a comprehensive and easily
accessible overview of the rapidly expanding family of 2D materials and forms
an ideal platform for computational modeling and design of new 2D materials and
van der Waals heterostructures.Comment: Add journal reference and DOI; Minor updates to figures and wordin