139,966 research outputs found
The formation of giant planets in wide orbits by photoevaporation-synchronised migration
The discovery of giant planets in wide orbits represents a major challenge
for planet formation theory. In the standard core accretion paradigm planets
are expected to form at radial distances au in order to form
massive cores (with masses ) able to trigger
the gaseous runaway growth before the dissipation of the disc. This has
encouraged authors to find modifications of the standard scenario as well as
alternative theories like the formation of planets by gravitational
instabilities in the disc to explain the existence of giant planets in wide
orbits. However, there is not yet consensus on how these systems are formed.
In this letter, we present a new natural mechanism for the formation of giant
planets in wide orbits within the core accretion paradigm. If photoevaporation
is considered, after a few Myr of viscous evolution a gap in the gaseous disc
is opened. We found that, under particular circumstances planet migration
becomes synchronised with the evolution of the gap, which results in an
efficient outward planet migration. This mechanism is found to allow the
formation of giant planets with masses in wide
stable orbits as large as 130 au from the central star.Comment: Accepted for publication in MNRAS Letters. Comments are welcom
Sharp bounds on enstrophy growth in the viscous Burgers equation
We use the Cole--Hopf transformation and the Laplace method for the heat
equation to justify the numerical results on enstrophy growth in the viscous
Burgers equation on the unit circle. We show that the maximum enstrophy
achieved in the time evolution is scaled as , where
is the large initial enstrophy, whereas the time needed for
reaching the maximal enstrophy is scaled as . These bounds
are sharp for sufficiently smooth initial conditions.Comment: 12 page
Axial-flow pump design digital computer program
FORTRAN program for computerized design of axial flow pump by blade element analysi
Breaking Symmetries in Graph Representation
There are many complex combinatorial problems
which involve searching for an undirected graph
satisfying a certain property. These problems are
often highly challenging because of the large number
of isomorphic representations of a possible solution.
In this paper we introduce novel, effective
and compact, symmetry breaking constraints for
undirected graph search. While incomplete, these
prove highly beneficial in pruning the search for a
graph. We illustrate the application of symmetry
breaking in graph representation to resolve several
open instances in extremal graph theory
Quantum wires from coupled InAs/GaAs strained quantum dots
The electronic structure of an infinite 1D array of vertically coupled
InAs/GaAs strained quantum dots is calculated using an eight-band
strain-dependent k-dot-p Hamiltonian. The coupled dots form a unique quantum
wire structure in which the miniband widths and effective masses are controlled
by the distance between the islands, d. The miniband structure is calculated as
a function of d, and it is shown that for d>4 nm the miniband is narrower than
the optical phonon energy, while the gap between the first and second minibands
is greater than the optical phonon energy. This leads to decreased optical
phonon scattering, providing improved quantum wire behavior at high
temperatures. These miniband properties are also ideal for Bloch oscillation.Comment: 5 pages revtex, epsf, 8 postscript figure
On the convergence of Regge calculus to general relativity
Motivated by a recent study casting doubt on the correspondence between Regge
calculus and general relativity in the continuum limit, we explore a mechanism
by which the simplicial solutions can converge whilst the residual of the Regge
equations evaluated on the continuum solutions does not. By directly
constructing simplicial solutions for the Kasner cosmology we show that the
oscillatory behaviour of the discrepancy between the Einstein and Regge
solutions reconciles the apparent conflict between the results of Brewin and
those of previous studies. We conclude that solutions of Regge calculus are, in
general, expected to be second order accurate approximations to the
corresponding continuum solutions.Comment: Updated to match published version. Details of numerical calculations
added, several sections rewritten. 9 pages, 4 EPS figure
Three-Body Encounters of Black Holes in Globular Clusters
Evidence has been mounting for the existence of black holes with masses from
10^2 to 10^4 M_Solar associated with stellar clusters. Such intermediate-mass
black holes (IMBHs) will encounter other black holes in the dense cores of
these clusters. The binaries produced in these interactions will be perturbed
by other objects as well thus changing the orbital characteristics of the
binaries. These binaries and their subsequent mergers due to gravitational
radiation are important sources of gravitational waves. We present the results
of numerical simulations of high mass ratio encounters, which help clarify the
interactions of intermediate-mass black holes in globular clusters and help
determine what types of detectable gravitational wave signatures are likely.Comment: 4 pages, 3 figures to appear in the proceedings of The Astrophysics
of Gravitational Wave Sources, College Park, MD, 24-26 April 200
The Higgs Sector of the Next-to-Minimal Supersymmetric Standard Model
The Higgs boson spectrum of the Next-to-Minimal Supersymmetric Standard Model
is examined. The model includes a singlet Higgs field S in addition to the two
Higgs doublets of the minimal extension. `Natural' values of the parameters of
the model are motivated by their renormalization group running and the vacuum
stability. The qualitative features of the Higgs boson masses are dependent on
how strongly the Peccei-Quinn U(1) symmetry of the model is broken, measured by
the self-coupling of the singlet field in the superpotential. We explore the
Higgs boson masses and their couplings to gauge bosons for various
representative scenarios.Comment: 32 pages with 12 figures; references and parameters updated; a few
minor comments adde
Route planning in a four-dimensional environment
Robots must be able to function in the real world. The real world involves processes and agents that move independently of the actions of the robot, sometimes in an unpredictable manner. A real-time integrated route planning and spatial representation system for planning routes through dynamic domains is presented. The system will find the safest most efficient route through space-time as described by a set of user defined evaluation functions. Because the route planning algorthims is highly parallel and can run on an SIMD machine in O(p) time (p is the length of a path), the system will find real-time paths through unpredictable domains when used in an incremental mode. Spatial representation, an SIMD algorithm for route planning in a dynamic domain, and results from an implementation on a traditional computer architecture are discussed
Identifying the Higgs Spin and Parity in Decays to Z Pairs
Higgs decays to Z boson pairs may be exploited to determine spin and parity
of the Higgs boson, a method complementary to spin-parity measurements in
Higgs-strahlung. For a Higgs mass above the on-shell ZZ decay threshold, a
model-independent analysis can be performed, but only by making use of
additional angular correlation effects in gluon-gluon fusion at the LHC and
gamma-gamma fusion at linear colliders. In the intermediate mass range, in
which the Higgs boson decays into pairs of real and virtual Z bosons, threshold
effects and angular correlations, parallel to Higgs-strahlung, may be adopted
to determine spin and parity, though high event rates will be required for the
analysis in practice.Comment: 14 pages, 2 postscript figure
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