3,939 research outputs found
Diagnosis of a unit-wide disturbance caused by saturation in a manipulated variable
It is well known that faulty control valves with friction in the moving parts lead to limit cycle oscillations which can propagate to other parts of the plant. However, a control loop with healthy valve can also undergo oscillatory behavior. The root cause of a unit-wide oscillation in a distillation column was traced to a pressure control loop in a case study at Mitsui Chemicals. The diagnosis was made by means of a new technique of pattern matching of the time-resolved frequency spectrum using a wavelet analysis tool. The method identified key characteristics shared by measurements at various places in the column and quantified the similarities.
Non-linearity was detected in the time trend of the pressure measurement, a result which initially suggested the root cause was a faulty actuator or sensor. Further analysis showed, however, that the source of non-linearlity was periodic saturation of the manipulated variable caused by slack tuning. The problem was remidied by changing the controller tuning settings and the unit-wide disturbance then went away
Computing in String Field Theory Using the Moyal Star Product
Using the Moyal star product, we define open bosonic string field theory
carefully, with a cutoff, for any number of string oscillators and any
oscillator frequencies. Through detailed computations, such as Neumann
coefficients for all string vertices, we show that the Moyal star product is
all that is needed to give a precise definition of string field theory. The
formulation of the theory as well as the computation techniques are
considerably simpler in the Moyal formulation. After identifying a monoid
algebra as a fundamental mathematical structure in string field theory, we use
it as a tool to compute with ease the field configurations for wedge, sliver,
and generalized projectors, as well as all the string interaction vertices for
perturbative as well as monoid-type nonperturbative states. Finally, in the
context of VSFT we analyze the small fluctuations around any D-brane vacuum. We
show quite generally that to obtain nontrivial mass and coupling, as well as a
closed strings, there must be an associativity anomaly. We identify the
detailed source of the anomaly, but leave its study for future work.Comment: 77 pages, LaTeX. v3: corrections of signs or factors (for a list of
corrections see beginning of source file
Structure of the Fulde-Ferrell-Larkin-Ovchinnikov state in two-dimensional superconductors
Nonuniform superconducting state due to strong spin magnetism is studied in
two-dimensional type-II superconductors near the second order phase transition
line between the normal and the superconducting states. The optimum spatial
structure of the orderparameter is examined in systems with cylindrical
symmetric Fermi surfaces. It is found that states with two-dimensional
structures have lower free energies than the traditional one-dimensional
solutions, at low temperatures and high magnetic fields. For s-wave pairing,
triangular, square, hexagonal states are favored depending on the temperature,
while square states are favored at low temperatures for d-wave pairing. In
these states, orderparameters have two-dimensional structures such as square
and triangular lattices.Comment: 11 pages (LaTeX, revtex.sty), 3 figures; added reference
Effect of humidity on transonic flow
An experimental investigation of the effects of humidity-induced condensation on shock/boundary-layer
interaction has been conducted in a transonic wind-tunnel test. The test geometry considered was a wall-mounted
bump model inserted in the test section of the wind tunnel. The formation of a λ-shape condensation shock wave was
shown from schlieren visualization and resulted in a forward movement of the shock wave, reduced shock wave
strength, and reduced separation. Empirical correlations of the shock wave strength and humidity/dew point
temperature were established. For humidity levels below 0.15 or a dew point temperature of 268 K, the effect of
humidity was negligible. The unsteady pressure measurements showed that if a condensation shock wave formed and
interacted with a main shock wave, the flow becomes unsteady with periodic flow oscillations occurring at 720 Hz
Bayesian photon counting with electron-multiplying charge coupled devices (EMCCDs)
The EMCCD is a CCD type that delivers fast readout and negligible detector
noise, making it an ideal detector for high frame rate applications. Because of
the very low detector noise, this detector can potentially count single
photons. Considering that an EMCCD has a limited dynamical range and negligible
detector noise, one would typically apply an EMCCD in such a way that multiple
images of the same object are available, for instance, in so called lucky
imaging. The problem of counting photons can then conveniently be viewed as
statistical inference of flux or photon rates, based on a stack of images. A
simple probabilistic model for the output of an EMCCD is developed. Based on
this model and the prior knowledge that photons are Poisson distributed, we
derive two methods for estimating the most probable flux per pixel, one based
on thresholding, and another based on full Bayesian inference. We find that it
is indeed possible to derive such expressions, and tests of these methods show
that estimating fluxes with only shot noise is possible, up to fluxes of about
one photon per pixel per readout.Comment: Fixed a few typos compared to the published versio
Fluctuation-Driven First-Order Transition in Pauli-limited d-wave Superconductors
We study the phase transition between the normal and non-uniform
(Fulde-Ferrell-Larkin-Ovchinnikov) superconducting state in quasi
two-dimensional d-wave superconductors at finite temperature. We obtain an
appropriate Ginzburg-Landau theory for this transition, in which the
fluctuation spectrum of the order parameter has a set of minima at non-zero
momenta. The momentum shell renormalization group procedure combined with
dimensional expansion is then applied to analyze the phase structure of the
theory. We find that all fixed points have more than one relevant directions,
indicating the transition is of the fluctuation-driven first order type for
this universality class.Comment: 5 page
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