15,728 research outputs found
Holographic Heat Current as Noether Current
We employ the Noether procedure to derive a general formula for the radially
conserved heat current in AdS planar black holes with certain transverse and
traceless perturbations, for a general class of gravity theories. For Einstein
gravity, the general higher-order Lovelock gravities and also a class of
Horndeski gravities, we derive the boundary stress tensor and show that the
resulting boundary heat current matches precisely the bulk Noether current.Comment: Latex, 27 pages, typos corrected, comments added, references adde
Thermodynamics of Einstein-Proca AdS Black Holes
We study static spherically-symmetric solutions of the Einstein-Proca
equations in the presence of a negative cosmological constant. We show that the
theory admits solutions describing both black holes and also solitons in an
asymptotically AdS background. Interesting subtleties can arise in the
computation of the mass of the solutions and also in the derivation of the
first law of thermodynamics. We make use of holographic renormalisation in
order to calculate the mass, even in cases where the solutions have a rather
slow approach to the asymptotic AdS geometry. By using the procedure developed
by Wald, we derive the first law of thermodynamics for the black hole and
soliton solutions. This includes a non-trivial contribution associated with the
Proca "charge." The solutions cannot be found analytically, and so we make use
of numerical integration techniques to demonstrate their existence.Comment: 35 pages, Improved discussion of cases with logarithmic asymptotic
fall off
Generalised Smarr Formula and the Viscosity Bound for Einstein-Maxwell-Dilaton Black Holes
We study the shear viscosity to entropy ratio in the boundary field
theories dual to black hole backgrounds in theories of gravity coupled to a
scalar field, and generalisations including a Maxwell field and non-minimal
scalar couplings. Motivated by the observation in simple examples that the
saturation of the bound is correlated with the existence
of a generalised Smarr relation for the planar black-hole solutions, we
investigate this in detail for the general black-hole solutions in these
theories, focusing especially on the cases where the scalar field plays a
non-trivial role and gives rise to an additional parameter in the space of
solutions. We find that a generalised Smarr relation holds in all cases, and in
fact it can be viewed as the bulk gravity dual of the statement of the
saturation of the viscosity to entropy bound. We obtain the generalised Smarr
relation, whose existence depends upon a scaling symmetry of the planar
black-hole solutions, by two different but related methods, one based on
integrating the first law of thermodynamics, and the other based on the
construction of a conserved Noether charge.Comment: Latex, 36 pages, references added, typos corrected, to appear in PR
Magnetically-Charged Black Branes and Viscosity/Entropy Ratios
We consider asymptotically-AdS -dimensional black brane solutions in a
theory of gravity coupled to a set of -form field strengths, in which
the field strengths carry magnetic charges. For appropriately chosen charges,
the metrics are isotropic in the transverse directions. However, in
general the field strength configurations break the full Euclidean symmetry of
the -dimensional transverse space. We then study the linearised equation
for transverse traceless metric perturbations in these backgrounds, and by
employing the Kubo formula we obtain expressions for , the ratio of
shear viscosity to entropy density. We find that the KSS bound on the ratio
is generally violated in these solutions. We also extend the
discussion by including also a dilatonic scalar field in the theory, leading to
solutions that are asymptotically Lifshitz with hyperscaling violation.Comment: References added. 21 page
Entanglement and quantum phase transition in alternating XY spin chain with next-nearest neighbour interactions
By using the method of density-matrix renormalization-group to solve the
different spin-spin correlation functions, the nearest-neighbouring
entanglement(NNE) and next-nearest-neighbouring entanglement(NNNE) of
one-dimensional alternating Heisenberg XY spin chain is investigated in the
presence of alternating nearest neighbour interactions of exchange couplings,
external magnetic fields and next-nearest neighbouring interactions. For
dimerized ferromagnetic spin chain, NNNE appears only above the critical
dimerized interaction, meanwhile, the dimerized interaction effects quantum
phase transition point and improves NNNE to a large value. We also study the
effect of ferromagnetic or antiferromagnetic next-nearest neighboring (NNN)
interactions on the dynamics of NNE and NNNE. The ferromagnetic NNN interaction
increases and shrinks NNE below and above critical frustrated interaction
respectively, while the antiferromagnetic NNN interaction always decreases NNE.
The antiferromagnetic NNN interaction results to a larger value of NNNE in
comparison to the case when the NNN interaction is ferromagnetic.Comment: 13 pages, 4 figures,. accepted by Chinese Physics B 2008 11 (in
press
Black Hole Entropy and Viscosity Bound in Horndeski Gravity
Horndeski gravities are theories of gravity coupled to a scalar field, in
which the action contains an additional non-minimal quadratic coupling of the
scalar, through its first derivative, to the Einstein tensor or the analogous
higher-derivative tensors coming from the variation of Gauss-Bonnet or Lovelock
terms. In this paper we study the thermodynamics of the static black hole
solutions in dimensions, in the simplest case of a Horndeski coupling to
the Einstein tensor. We apply the Wald formalism to calculate the entropy of
the black holes, and show that there is an additional contribution over and
above those that come from the standard Wald entropy formula. The extra
contribution can be attributed to unusual features in the behaviour of the
scalar field. We also show that a conventional regularisation to calculate the
Euclidean action leads to an expression for the entropy that disagrees with the
Wald results. This seems likely to be due to ambiguities in the subtraction
procedure. We also calculate the viscosity in the dual CFT, and show that the
viscosity/entropy ratio can violate the bound for
appropriate choices of the parameters.Comment: 30 pages, no figure, minor revision
Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation
We present a further theoretical extension to the kinetic theory based
formulation of the lattice Boltzmann method of Shan et al (2006). In addition
to the higher order projection of the equilibrium distribution function and a
sufficiently accurate Gauss-Hermite quadrature in the original formulation, a
new regularization procedure is introduced in this paper. This procedure
ensures a consistent order of accuracy control over the non-equilibrium
contributions in the Galerkin sense. Using this formulation, we construct a
specific lattice Boltzmann model that accurately incorporates up to the third
order hydrodynamic moments. Numerical evidences demonstrate that the extended
model overcomes some major defects existed in the conventionally known lattice
Boltzmann models, so that fluid flows at finite Knudsen number (Kn) can be more
quantitatively simulated. Results from force-driven Poiseuille flow simulations
predict the Knudsen's minimum and the asymptotic behavior of flow flux at large
Kn
Diffusion in a multi-component Lattice Boltzmann Equation model
Diffusion phenomena in a multiple component lattice Boltzmann Equation (LBE)
model are discussed in detail. The mass fluxes associated with different
mechanical driving forces are obtained using a Chapman-Enskog analysis. This
model is found to have correct diffusion behavior and the multiple diffusion
coefficients are obtained analytically. The analytical results are further
confirmed by numerical simulations in a few solvable limiting cases. The LBE
model is established as a useful computational tool for the simulation of mass
transfer in fluid systems with external forces.Comment: To appear in Aug 1 issue of PR
Competition between the BCS superconductivity and ferromagnetic spin fluctuations in MgCNi
The low temperature specific heat of the superconductor MgCNi and a
non-superconductor MgCNi is investigated in detail. An additional
contribution is observed from the data of MgCNi but absent in
MgCNi, which is demonstrated to be insensitive to the applied
magnetic field even up to 12 Tesla. A detailed discussion on its origin is then
presented. By subtracting this additional contribution, the zero field specific
heat of MgCNi can be well described by the BCS theory with the gap ratio
() determined by the previous tunneling measurements. The
conventional s-wave pairing state is further proved by the magnetic field
dependence of the specific heat at low temperatures and the behavior of the
upper critical field.Comment: To appear in Physical Review B, 6 pages, 7 figure
- …