2,199 research outputs found
Magnetotail changes in relation to the solar wind magnetic field and magnetospheric substorms
An attempt is made to understand some of the magnetotail dynamics by using simultaneous observations from several satellites: Explorers 33 and 35 in the solar wind, IMP 4 in the near magnetotail (30 RE), ATS 1, and OGO 5 in the magnetosphere. It was observed that in the main lobes of the tail the magnetic field increases slowly when the interplanetary magnetic field turns southward, and can decrease slowly after a substorm. The plasma sheet changes indicate a thinning when the interplanetary magnetic field turns southward and an expansion when it turns northward. When combined with the plasma sheet expansion, which has been observed to follow a substorm, these results allow a schematic view of the relations between the changes in the orientation of the solar wind magnetic field, the substorms, and the changes in the tail parameters to be developed
On inward motion of the magnetopause preceding a substorm
Magnetopause inward motion preceding magnetic storms observed by means of OGO-E magnetomete
Ground state wavefunction of the quantum Frenkel-Kontorova model
The wavefunction of an incommensurate ground state for a one-dimensional
discrete sine-Gordon model -- the Frenkel-Kontorova (FK) model -- at zero
temperature is calculated by the quantum Monte Carlo method. It is found that
the ground state wavefunction crosses over from an extended state to a
localized state when the coupling constant exceeds a certain critical value.
So, although the quantum fluctuation has smeared out the breaking of
analyticity transition as observed in the classical case, the remnant of this
transition is still discernible in the quantum regime.Comment: 5 Europhys pages, 3 EPS figures, accepted for publication in
Europhys. Letter
Effects of interaction on the diffusion of atomic matter waves in one-dimensional quasi-periodic potentials
We study the behaviour of an ultracold atomic gas of bosons in a bichromatic
lattice, where the weaker lattice is used as a source of disorder. We
numerically solve a discretized mean-field equation, which generalizes the
one-dimensional Aubry-Andr\`e model for particles in a quasi-periodic potential
by including the interaction between atoms. We compare the results for
commensurate and incommensurate lattices. We investigate the role of the
initial shape of the wavepacket as well as the interplay between two competing
effects of the interaction, namely self-trapping and delocalization. Our
calculations show that, if the condensate initially occupies a single lattice
site, the dynamics of the interacting gas is dominated by self-trapping in a
wide range of parameters, even for weak interaction. Conversely, if the
diffusion starts from a Gaussian wavepacket, self-trapping is significantly
suppressed and the destruction of localization by interaction is more easily
observable
Using the Regular Chains Library to build cylindrical algebraic decompositions by projecting and lifting
Cylindrical algebraic decomposition (CAD) is an important tool, both for
quantifier elimination over the reals and a range of other applications.
Traditionally, a CAD is built through a process of projection and lifting to
move the problem within Euclidean spaces of changing dimension. Recently, an
alternative approach which first decomposes complex space using triangular
decomposition before refining to real space has been introduced and implemented
within the RegularChains Library of Maple. We here describe a freely available
package ProjectionCAD which utilises the routines within the RegularChains
Library to build CADs by projection and lifting. We detail how the projection
and lifting algorithms were modified to allow this, discuss the motivation and
survey the functionality of the package
Extremely Low Loss Phonon-Trapping Cryogenic Acoustic Cavities for Future Physical Experiments
Low loss Bulk Acoustic Wave devices are considered from the point of view of
the solid state approach as phonon-confining cavities. We demonstrate effective
design of such acoustic cavities with phonon-trapping techniques exhibiting
extremely high quality factors for trapped longitudinally-polarized phonons of
various wavelengths. Quality factors of observed modes exceed 1 billion, with a
maximum -factor of 8 billion and product of at
liquid helium temperatures. Such high sensitivities allow analysis of intrinsic
material losses in resonant phonon systems. Various mechanisms of phonon losses
are discussed and estimated
Phases of Josephson Junction Ladders
We study a Josephson junction ladder in a magnetic field in the absence of
charging effects via a transfer matrix formalism. The eigenvalues of the
transfer matrix are found numerically, giving a determination of the different
phases of the ladder. The spatial periodicity of the ground state exhibits a
devil's staircase as a function of the magnetic flux filling factor . If the
transverse Josephson coupling is varied a continuous superconducting-normal
transition in the transverse direction is observed, analogous to the breakdown
of the KAM trajectories in dynamical systems.Comment: 12 pages with 3 figures, REVTE
Speeding up Cylindrical Algebraic Decomposition by Gr\"obner Bases
Gr\"obner Bases and Cylindrical Algebraic Decomposition are generally thought
of as two, rather different, methods of looking at systems of equations and, in
the case of Cylindrical Algebraic Decomposition, inequalities. However, even
for a mixed system of equalities and inequalities, it is possible to apply
Gr\"obner bases to the (conjoined) equalities before invoking CAD. We see that
this is, quite often but not always, a beneficial preconditioning of the CAD
problem.
It is also possible to precondition the (conjoined) inequalities with respect
to the equalities, and this can also be useful in many cases.Comment: To appear in Proc. CICM 2012, LNCS 736
An organisational model for simplifying the complexity of managing software project
The project success depends to a large degree on communication and coordination among team members. But project management systems and models do not support cooperative group work. Their basic philosophy is rather hierarchical and centralistic. It is the intention of this paper to present an Organisational Model for simplifying the complexity of managing software project, both at software project modelling aspect and the aspect of communication and coordination among project team members. In particular, it focuses on the following points: an activity is the main component of project management, the constraints between activities and resources must be established. A role defines a
group of duties and responsibilities. The activity related communication proceeds by the exchange of products between roles. While the constraints coordinate the products flow between roles. The benefit of the practical use of the model is to reduce the coordination effort required of project team members, and thus to increase the productivity in software development project
Fractal Spin Glass Properties of Low Energy Configurations in the Frenkel-Kontorova chain
We study numerically and analytically the classical one-dimensional
Frenkel-Kontorova chain in the regime of pinned phase characterized by phonon
gap. Our results show the existence of exponentially many static equilibrium
configurations which are exponentially close to the energy of the ground state.
The energies of these configurations form a fractal quasi-degenerate band
structure which is described on the basis of elementary excitations. Contrary
to the ground state, the configurations inside these bands are disordered.Comment: revtex, 9 pages, 9 figure
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