4,835 research outputs found
Enhanced modeling features within TREETOPS
The original motivation for TREETOPS was to build a generic multi-body simulation and remove the burden of writing multi-body equations from the engineers. The motivation of the enhancement was twofold: (1) to extend the menu of built-in features (sensors, actuators, constraints, etc.) that did not require user code; and (2) to extend the control system design capabilities by linking with other government funded software (NASTRAN and MATLAB). These enhancements also serve to bridge the gap between structures and control groups. It is common on large space programs for the structures groups to build hi-fidelity models of the structure using NASTRAN and for the controls group to build lower order models because they lack the tools to incorporate the former into their analysis. Now the controls engineers can accept the hi-fidelity NASTRAN models into TREETOPS, add sensors and actuators, perform model reduction and couple the result directly into MATLAB to perform their design. The controller can then be imported directly into TREETOPS for non-linear, time-history simulation
The Flash Crash: An Examination of Shareholder Wealth and Market Quality
We investigate stock returns, market quality, and options market activity around the flash crash of May 6, 2010. Abnormal returns are negative on the day of and the day after the flash crash for stocks that had trades that executed during the crash subsequently cancelled by either Nasdaq or NYSE Arca. Consistent with studies that suggest that other sources of liquidity withdrew from the markets during the flash crash, we find that the fraction of trades executed by the NYSE increases during this volatile period. Market quality deteriorates following the flash crash as bid-ask spreads increase and quote depths decrease. Evidence from the options markets indicates that investor uncertainty increased around the time of the crash and remained elevated for several days
Dominance of backward stimulated Raman scattering in gas-filled hollow-core photonic crystal fibers
Backward stimulated Raman scattering in gases provides a promising route to
compression and amplification of a Stokes seed-pulse by counter-propagating
against a pump-pulse, as has been already demonstrated in various platforms,
mainly in free-space. However, the dynamics governing this process when seeded
by noise has not yet been investigated in a fully controllable collinear
environment. Here we report the first unambiguous observation of efficient
noise-seeded backward stimulated Raman scattering in a hydrogen-filled
hollow-core photonic crystal fiber. At high gas pressures, when the backward
Raman gain is comparable with, but lower than, the forward gain, we report
quantum conversion efficiencies exceeding 40% to the backward Stokes at 683 nm
from a narrowband 532-nm-pump. The efficiency increases to 65% when the
backward process is seeded by a small amount of back-reflected
forward-generated Stokes light. At high pump powers the backward Stokes signal,
emitted in a clean fundamental mode and spectrally pure, is unexpectedly always
stronger than its forward-propagating counterpart. We attribute this striking
observation to the unique temporal dynamics of the interacting fields, which
cause the Raman coherence (which takes the form of a moving fine-period Bragg
grating) to grow in strength towards the input end of the fiber. A good
understanding of this process, together with the rapid development of novel
anti-resonant-guiding hollow-core fibers, may lead to improved designs of
efficient gas-based Raman lasers and amplifiers operating at wavelengths from
the ultraviolet to the mid-infrared.Comment: 6 pages and 8 figures in the main section. 4 pages and 5 figures in
the supplementary sectio
Persistence in q-state Potts model: A Mean-Field approach
We study the Persistence properties of the T=0 coarsening dynamics of one
dimensional -state Potts model using a modified mean-field approximation
(MMFA). In this approximation, the spatial correlations between the interfaces
separating spins with different Potts states is ignored, but the correct time
dependence of the mean density of persistent spins is imposed. For this
model, it is known that follows a power-law decay with time, where is the -dependent persistence exponent. We
study the spatial structure of the persistent region within the MMFA. We show
that the persistent site pair correlation function has the scaling
form for all values of the persistence
exponent . The scaling function has the limiting behaviour () and (). We then show within the
Independent Interval Approximation (IIA) that the distribution of
separation between two consecutive persistent spins at time has the
asymptotic scaling form where the
dynamical exponent has the form =max(). The behaviour of
the scaling function for large and small values of the arguments is found
analytically. We find that for small separations where =max(), while for large
separations , decays exponentially with . The
unusual dynamical scaling form and the behaviour of the scaling function is
supported by numerical simulations.Comment: 11 pages in RevTeX, 10 figures, submitted to Phys. Rev.
Persistence in One-dimensional Ising Models with Parallel Dynamics
We study persistence in one-dimensional ferromagnetic and anti-ferromagnetic
nearest-neighbor Ising models with parallel dynamics. The probability P(t) that
a given spin has not flipped up to time t, when the system evolves from an
initial random configuration, decays as P(t) \sim 1/t^theta_p with theta_p
\simeq 0.75 numerically. A mapping to the dynamics of two decoupled A+A \to 0
models yields theta_p = 3/4 exactly. A finite size scaling analysis clarifies
the nature of dynamical scaling in the distribution of persistent sites
obtained under this dynamics.Comment: 5 pages Latex file, 3 postscript figures, to appear in Phys Rev.
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