36,896 research outputs found
An unsteady helicopter rotor: Fuselage interaction analysis
A computational method was developed to treat unsteady aerodynamic interactions between a helicopter rotor, wake, and fuselage and between the main and tail rotors. An existing lifting line prescribed wake rotor analysis and a source panel fuselage analysis were coupled and modified to predict unsteady fuselage surface pressures and airloads. A prescribed displacement technique is used to position the rotor wake about the fuselage. Either a rigid blade or an aeroelastic blade analysis may be used to establish rotor operating conditions. Sensitivity studies were performed to determine the influence of the wake fuselage geometry on the computation. Results are presented that describe the induced velocities, pressures, and airloads on the fuselage and on the rotor. The ability to treat arbitrary geometries is demonstrated using a simulated helicopter fuselage. The computational results are compared with fuselage surface pressure measurements at several locations. No experimental data was available to validate the primary product of the analysis: the vibratory airloads on the entire fuselage. A main rotor-tail rotor interaction analysis is also described, along with some hover and forward flight
An electric-field representation of the harmonic XY model
The two-dimensional harmonic XY (HXY) model is a spin model in which the
classical spins interact via a piecewise parabolic potential. We argue that the
HXY model should be regarded as the canonical classical lattice spin model of
phase fluctuations in two-dimensional condensates, as it is the simplest model
that guarantees the modular symmetry of the experimental systems. Here we
formulate a lattice electric-field representation of the HXY model and contrast
this with an analogous representation of the Villain model and the
two-dimensional Coulomb gas with a purely rotational auxiliary field. We find
that the HXY model is a spin-model analogue of a lattice electric-field model
of the Coulomb gas with an auxiliary field, but with a temperature-dependent
vacuum (electric) permittivity that encodes the coupling of the spin vortices
to their background spin-wave medium. The spin vortices map to the Coulomb
charges, while the spin-wave fluctuations correspond to auxiliary-field
fluctuations. The coupling explains the striking differences in the
high-temperature asymptotes of the specific heats of the HXY model and the
Coulomb gas with an auxiliary field. Our results elucidate the propagation of
effective long-range interactions throughout the HXY model (whose interactions
are purely local) by the lattice electric fields. They also imply that global
spin-twist excitations (topological-sector fluctuations) generated by local
spin dynamics are ergodically excluded in the low-temperature phase. We discuss
the relevance of these results to condensate physics.Comment: 13 pages, 10 figure
Topological-sector fluctuations and ergodicity breaking at the Berezinskii-Kosterlitz-Thouless transition
The Berezinskii-Kosterlitz-Thouless (BKT) phase transition drives the
unbinding of topological defects in many two-dimensional systems. In the
two-dimensional Coulomb gas, it corresponds to an insulator-conductor
transition driven by charge deconfinement. We investigate the global
topological properties of this transition, both analytically and by numerical
simulation, using a lattice-field description of the two-dimensional Coulomb
gas on a torus. The BKT transition is shown to be an ergodicity breaking
between the topological sectors of the electric field, which implies a
definition of topological order in terms of broken ergodicity. The breakdown of
local topological order at the BKT transition leads to the excitation of global
topological defects in the electric field, corresponding to different
topological sectors. The quantized nature of these classical excitations, and
their strict suppression by ergodicity breaking in the low-temperature phase,
afford striking global signatures of topological-sector fluctuations at the BKT
transition. We discuss how these signatures could be detected in experiments
on, for example, magnetic films and cold-atom systems.Comment: 11 pages, 6 figure
Optimal Property Management Strategies
This paper examines the optimal operation strategies for income properties. Specifically, the rental rate and the operating expense should be set at levels to maximize the return on investment. The results suggest that for a given demand curve of a specific rental property, there exist optimal levels of the income ratio, the operating expense ratio, and the vacancy rate. With a Cobb-Douglas demand curve, we derived closed form solutions of these optimal ratios for a given income property. The relevant local comparative statics of these ratios also are derived. These comparative statics also provide insight into the optimal building size and optimal rehabilitation decisions. An empirical case study was conducted to demonstrate how the model can be applied in real life situations.Rental Property, Vacancy Rate; Operating Strategy, Profit Optimization
M\"{o}bius deconvolution on the hyperbolic plane with application to impedance density estimation
In this paper we consider a novel statistical inverse problem on the
Poincar\'{e}, or Lobachevsky, upper (complex) half plane. Here the Riemannian
structure is hyperbolic and a transitive group action comes from the space of
real matrices of determinant one via M\"{o}bius transformations. Our
approach is based on a deconvolution technique which relies on the
Helgason--Fourier calculus adapted to this hyperbolic space. This gives a
minimax nonparametric density estimator of a hyperbolic density that is
corrupted by a random M\"{o}bius transform. A motivation for this work comes
from the reconstruction of impedances of capacitors where the above scenario on
the Poincar\'{e} plane exactly describes the physical system that is of
statistical interest.Comment: Published in at http://dx.doi.org/10.1214/09-AOS783 the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org
Phase order in superfluid helium films
Classic experimental data on helium films are transformed to estimate a
finite-size phase order parameter that measures the thermal degradation of the
condensate fraction in the two-dimensional superfluid. The order parameter is
found to evolve thermally with the exponent , a
characteristic, in analogous magnetic systems, of the
Berezinskii-Kosterlitz-Thouless (BKT) phase transition. Universal scaling near
the BKT fixed point generates a collapse of experimental data on helium and
ferromagnetic films, and implies new experiments and theoretical protocols to
explore the phase order. These results give a striking example of experimental
finite-size scaling in a critical system that is broadly relevant to
two-dimensional Bose fluids.Comment: 6 pages, 2 figure
Decay Phase Cooling and Inferred Heating of M- and X-class Solar Flares
In this paper, the cooling of 72 M- and X-class flares is examined using
GOES/XRS and SDO/EVE. The observed cooling rates are quantified and the
observed total cooling times are compared to the predictions of an analytical
0-D hydrodynamic model. It is found that the model does not fit the
observations well, but does provide a well defined lower limit on a flare's
total cooling time. The discrepancy between observations and the model is then
assumed to be primarily due to heating during the decay phase. The decay phase
heating necessary to account for the discrepancy is quantified and found be
~50% of the total thermally radiated energy as calculated with GOES. This decay
phase heating is found to scale with the observed peak thermal energy. It is
predicted that approximating the total thermal energy from the peak is
minimally affected by the decay phase heating in small flares. However, in the
most energetic flares the decay phase heating inferred from the model can be
several times greater than the peak thermal energy.Comment: Published in the Astrophysical Journal, 201
Spin conductivity in almost integrable spin chains
The spin conductivity in the integrable spin-1/2 XXZ-chain is known to be
infinite at finite temperatures T for anisotropies -1 < Delta < 1.
Perturbations which break integrability, e.g. a next-nearest neighbor coupling
J', render the conductivity finite. We construct numerically a non-local
conserved operator J_parallel which is responsible for the finite spin Drude
weight of the integrable model and calculate its decay rate for small J'. This
allows us to obtain a lower bound for the spin conductivity sigma_s >= c(T) /
J'^2, where c(T) is finite for J' to 0. We discuss the implication of our
result for the general question how non-local conservation laws affect
transport properties.Comment: 6 pages, 5 figure
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