10,770 research outputs found
A scale-model room as a practical teaching experiment
A practical experiment is described which was used to help university students increase their understanding of the effect of construction methods and window design on passive solar heating and electrical heating. A number of one tenth scale model rooms were constructed by students and sited out-of-doors in the late autumn. The models were fabricated to mimic available commercial construction techniques with careful consideration being given to window size and placement for solar access. Each model had a thermostatically controlled electric heating element. The temperatures and electricity use of the models were recorded using data-loggers over a two week period. The performances of the models based on energy consumption and internal temperature were compared with each other and with predictions based upon thermal mass and R-values. Examples of questions used by students to facilitate this process are included. The effect of scaling on thermal properties was analysed using Buckingham’s p-theorem.<br /
Determination of the wind response of Saturn 5 by statistical methods, volume 1
Statistical analysis of Saturn 5 launch vehicle wind response - Vol.
Vector coherent state representations, induced representations, and geometric quantization: II. Vector coherent state representations
It is shown here and in the preceeding paper (quant-ph/0201129) that vector
coherent state theory, the theory of induced representations, and geometric
quantization provide alternative but equivalent quantizations of an algebraic
model. The relationships are useful because some constructions are simpler and
more natural from one perspective than another. More importantly, each approach
suggests ways of generalizing its counterparts. In this paper, we focus on the
construction of quantum models for algebraic systems with intrinsic degrees of
freedom. Semi-classical partial quantizations, for which only the intrinsic
degrees of freedom are quantized, arise naturally out of this construction. The
quantization of the SU(3) and rigid rotor models are considered as examples.Comment: 31 pages, part 2 of two papers, published versio
Weak Gravitational Flexion
Flexion is the significant third-order weak gravitational lensing effect
responsible for the weakly skewed and arc-like appearance of lensed galaxies.
Here we demonstrate how flexion measurements can be used to measure galaxy halo
density profiles and large-scale structure on non-linear scales, via
galaxy-galaxy lensing, dark matter mapping and cosmic flexion correlation
functions. We describe the origin of gravitational flexion, and discuss its
four components, two of which are first described here. We also introduce an
efficient complex formalism for all orders of lensing distortion. We proceed to
examine the flexion predictions for galaxy-galaxy lensing, examining isothermal
sphere and Navarro, Frenk & White (NFW) profiles and both circularly symmetric
and elliptical cases. We show that in combination with shear we can precisely
measure galaxy masses and NFW halo concentrations. We also show how flexion
measurements can be used to reconstruct mass maps in 2-D projection on the sky,
and in 3-D in combination with redshift data. Finally, we examine the
predictions for cosmic flexion, including convergence-flexion
cross-correlations, and find that the signal is an effective probe of structure
on non-linear scales.Comment: 17 pages, including 12 figures, submitted to MNRA
An exactly solvable model of a superconducting to rotational phase transition
We consider a many-fermion model which exhibits a transition from a
superconducting to a rotational phase with variation of a parameter in its
Hamiltonian. The model has analytical solutions in its two limits due to the
presence of dynamical symmetries. However, the symmetries are basically
incompatible with one another; no simple solution exists in intermediate
situations. Exact (numerical) solutions are possible and enable one to study
the behavior of competing but incompatible symmetries and the phase transitions
that result in a semirealistic situation. The results are remarkably simple and
shed light on the nature of phase transitions.Comment: 11 pages including 1 figur
Representations of the Weyl group and Wigner functions for SU(3)
Bases for SU(3) irreps are constructed on a space of three-particle tensor
products of two-dimensional harmonic oscillator wave functions. The Weyl group
is represented as the symmetric group of permutations of the particle
coordinates of these space. Wigner functions for SU(3) are expressed as
products of SU(2) Wigner functions and matrix elements of Weyl transformations.
The constructions make explicit use of dual reductive pairs which are shown to
be particularly relevant to problems in optics and quantum interferometry.Comment: : RevTex file, 11 pages with 2 figure
Linear acceleration emission: 2 Power spectrum
The theory of linear acceleration emission is developed for a large amplitude
electrostatic wave in which all particles become highly relativistic in much
less than a wave period. An Airy integral approximation is shown to apply near
the phases where the electric field passes through zero and the Lorentz factors
of all particles have their maxima. The emissivity is derived for an individual
particle and is integrated over frequency and solid angle to find the power
radiated per particle. The result is different from that implied by the
generalized Larmor formula which, we argue, is not valid in this case. We also
discuss a mathematical inconsistency that arises when one evaluates the power
spectrum by integrating the emissivity over solid angle. The correct power
spectrum increases as the 4/3rd power of the frequency at low frequencies, and
falls off exponentially above a characteristic frequency.
We discuss application of linear acceleration emission to the emission of
high frequency photons in an oscillating model for pulsars. We conclude that it
cannot account for gamma-ray emission, but can play a role in secondary pair
creation.Comment: 25 pages; Accepted for publication in Ap
Preparation of Dicke States in an Ion Chain
We have investigated theoretically and experimentally a method for preparing
Dicke states in trapped atomic ions. We consider a linear chain of ion
qubits that is prepared in a particular Fock state of motion, . The
phonons are removed by applying a laser pulse globally to the qubits, and
converting the motional excitation to flipped spins. The global nature of
this pulse ensures that the flipped spins are shared by all the target ions
in a state that is a close approximation to the Dicke state \D{N}{m}. We
calculate numerically the fidelity limits of the protocol and find small
deviations from the ideal state for and . We have demonstrated
the basic features of this protocol by preparing the state \D{2}{1} in two
Mg target ions trapped simultaneously with an Al
ancillary ion.Comment: 5 pages, 2 figure
The China Question and Soccer in Australia
This chapter addresses key manifestations of football in Australia’s relationship with China: Australia’s identity and China’s approach to recognition of Australia as an Asian football country (for example, the foreign player rules regarding Australian players in the Chinese Super League, and attitudes of Chinese and Australian football fans towards Australia competing in Asian competitions); Chinese interest in football in Australia, including actual and proposed ownership of A-League clubs and inter-club networking; and orientations to football among Chinese–Australian communities, particularly the positioning of grassroots Chinese leagues and football fan connections to the game in Australia. In bringing these various threads together, we seek to illuminate football’s global, regional and national dynamics, while exposing the many ways in which the game—and sport in general—is inevitably embedded in social, political, cultural and economic relations ranging from the hyper-local to the global
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