2,209 research outputs found
Effect of Spin Current on Uniform Ferromagnetism: Domain Nucleation
Large spin current applied to a uniform ferromagnet leads to a spin-wave
instability as pointed out recently.
In this paper, it is shown that such spin-wave instability is absent in a
state containing a domain wall, which indicates that nucleation of magnetic
domains occurs above a certain critical spin current.
This scenario is supported also by an explicit energy comparison of the two
states under spin current.Comment: 4 pages, 1 figure, REVTeX, rivised version, to appear in Physical
Review Letter
Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
In this paper we revisit the relation between the Friedmann equations and the
first law of thermodynamics. We find that the unified first law firstly
proposed by Hayward to treat the "outer"trapping horizon of dynamical black
hole can be used to the apparent horizon (a kind of "inner" trapping horizon in
the context of the FRW cosmology) of the FRW universe. We discuss three kinds
of gravity theorties: Einstein theory, Lovelock thoery and scalar-tensor
theory. In Einstein theory, the first law of thermodynamics is always satisfied
on the apparent horizon. In Lovelock theory, treating the higher derivative
terms as an effective energy-momentum tensor, we find that this method can give
the same entropy formula for the apparent horizon as that of black hole
horizon. This implies that the Clausius relation holds for the Lovelock theory.
In scalar-tensor gravity, we find, by using the same procedure, the Clausius
relation no longer holds. This indicates that the apparent horizon of FRW
universe in the scalar-tensor gravity corresponds to a system of
non-equilibrium thermodynamics. We show this point by using the method
developed recently by Eling {\it et al.} for dealing with the gravity.Comment: v2: revtex, 23 pages, references added, minor changes, to appear in
PR
Constraint Propagation of -adjusted Formulation - Another Recipe for Robust ADM Evolution System
With a purpose of constructing a robust evolution system against numerical
instability for integrating the Einstein equations, we propose a new
formulation by adjusting the ADM evolution equations with constraints. We apply
an adjusting method proposed by Fiske (2004) which uses the norm of the
constraints, C2. One of the advantages of this method is that the effective
signature of adjusted terms (Lagrange multipliers) for constraint-damping
evolution is pre-determined. We demonstrate this fact by showing the
eigenvalues of constraint propagation equations. We also perform numerical
tests of this adjusted evolution system using polarized Gowdy-wave propagation,
which show robust evolutions against the violation of the constraints than that
of the standard ADM formulation.Comment: 11 pages, 5 figures. To be published in Phys. Rev.
Notes on Entropy Force in General Spherically Symmetric Spacetimes
In a recent paper [arXiv:1001.0785], Verlinde has shown that the Newton
gravity appears as an entropy force. In this paper we show how gravity appears
as entropy force in Einstein's equation of gravitational field in a general
spherically symmetric spacetime. We mainly focus on the trapping horizon of the
spacetime. We find that when matter fields are absent, the change of entropy
associated with the trapping horizon indeed can be identified with an entropy
force. When matter fields are present, we see that heat flux of matter fields
also leads to the change of entropy. Applying arguments made by Verlinde and
Smolin, respectively, to the trapping horizon, we find that the entropy force
is given by the surface gravity of the horizon. The cases in the untrapped
region of the spacetime are also discussed.Comment: revtex4, 21 pages, no figures, one reference added, published
version, to appear in Phys.Rev.
Holographic Superconductors with Ho\v{r}ava-Lifshitz Black Holes
We discuss the phase transition of planar black holes in Ho\v{r}ava-Lifshitz
gravity by introducing a Maxwell field and a complex scalar field. We calculate
the condensates of the charged operators in the dual CFTs when the mass square
of the complex scalar filed is and , respectively. We
compute the electrical conductivity of the \hl superconductor in the probe
approximation. In particular, it is found that there exists a spike in the
conductivity for the case of the operator with scaling dimension one. These
results are quite similar to those in the case of Schwarzschild-AdS black
holes, which demonstrates that the holographic superconductivity is a robust
phenomenon associated with asymptotic AdS black holes.Comment: 12 pages, 7 figures,refs adde
Constraints and Reality Conditions in the Ashtekar Formulation of General Relativity
We show how to treat the constraints and reality conditions in the
-ADM (Ashtekar) formulation of general relativity, for the case of a
vacuum spacetime with a cosmological constant. We clarify the difference
between the reality conditions on the metric and on the triad. Assuming the
triad reality condition, we find a new variable, allowing us to solve the gauge
constraint equations and the reality conditions simultaneously.Comment: LaTeX file, 12 pages, no figures; to appear in Classical and Quantum
Gravit
Does the mass of a black hole decrease due to the accretion of phantom energy
According to Babichev et al., the accretion of a phantom test fluid onto a
Schwarzschild black hole will induce the mass of the black hole to decrease,
however the backreaction was ignored in their calculation. Using new exact
solutions describing black holes in a background Friedmann-Robertson-Walker
universe, we find that the physical black hole mass may instead increase due to
the accretion of phantom energy. If this is the case, and the future universe
is dominated by phantom dark energy, the black hole apparent horizon and the
cosmic apparent horizon will eventually coincide and, after that, the black
hole singularity will become naked in finite comoving time before the Big Rip
occurs, violating the Cosmic Censorship Conjecture.Comment: 12 pages, 5 figures. PRD accepte
Analisis Konsep Nilai Hasil Pada Proyek Ruko 3 Tingkat Di Jalan Ampera Pontianak Dengan Menggunakan Program Primavera 6.0
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High-energy effective theory for matter on close Randall Sundrum branes
Extending the analysis of hep-th/0504128, we obtain a formal expression for
the coupling between brane matter and the radion in a Randall-Sundrum
braneworld. This effective theory is correct to all orders in derivatives of
the radion in the limit of small brane separation, and, in particular, contains
no higher than second derivatives. In the case of cosmological symmetry the
theory can be obtained in closed form and reproduces the five-dimensional
behaviour. Perturbations in the tensor and scalar sectors are then studied.
When the branes are moving, the effective Newtonian constant on the brane is
shown to depend both on the distance between the branes and on their velocity.
In the small distance limit, we compute the exact dependence between the
four-dimensional and the five-dimensional Newtonian constants.Comment: Updated version as published in PR
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