1,799 research outputs found
Study of the growth parameters involved in synthesizing boron carbide filaments Second quarterly report
Growth parameters in synthesis of boron carbide whisker
Investigation of the reinforcement of ductile metals with strong, high modulus discontinuous brittle fibers Quarterly report
Factors affecting reinforcement of aluminum with boron carbide whisker
Deformations and dilations of chaotic billiards, dissipation rate, and quasi-orthogonality of the boundary wavefunctions
We consider chaotic billiards in d dimensions, and study the matrix elements
M_{nm} corresponding to general deformations of the boundary. We analyze the
dependence of |M_{nm}|^2 on \omega = (E_n-E_m)/\hbar using semiclassical
considerations. This relates to an estimate of the energy dissipation rate when
the deformation is periodic at frequency \omega. We show that for dilations and
translations of the boundary, |M_{nm}|^2 vanishes like \omega^4 as \omega -> 0,
for rotations like \omega^2, whereas for generic deformations it goes to a
constant. Such special cases lead to quasi-orthogonality of the eigenstates on
the boundary.Comment: 4 pages, 3 figure
Higher su(N) tensor products
We extend our recent results on ordinary su(N) tensor product multiplicities
to higher su(N) tensor products. Particular emphasis is put on four-point
couplings where the tensor product of four highest weight modules is
considered. The number of times the singlet occurs in the decomposition is the
associated multiplicity. In this framework, ordinary tensor products correspond
to three-point couplings. As in that case, the four-point multiplicity may be
expressed explicitly as a multiple sum measuring the discretised volume of a
convex polytope. This description extends to higher-point couplings as well. We
also address the problem of determining when a higher-point coupling exists,
i.e., when the associated multiplicity is non-vanishing. The solution is a set
of inequalities in the Dynkin labels.Comment: 17 pages, LaTe
On fundamental domains and volumes of hyperbolic Coxeter-Weyl groups
We present a simple method for determining the shape of fundamental domains
of generalized modular groups related to Weyl groups of hyperbolic Kac-Moody
algebras. These domains are given as subsets of certain generalized upper half
planes, on which the Weyl groups act via generalized modular transformations.
Our construction only requires the Cartan matrix of the underlying
finite-dimensional Lie algebra and the associated Coxeter labels as input
information. We present a simple formula for determining the volume of these
fundamental domains. This allows us to re-produce in a simple manner the known
values for these volumes previously obtained by other methods.Comment: v2: to be published in Lett Math Phys (reference added, typo
corrected
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An assessment of aerosol‐cloud interactions in marine stratus clouds based on surface remote sensing
An assessment of aerosol-cloud interactions (ACI) from ground-based remote sensing under coastal stratiform clouds is presented. The assessment utilizes a long-term, high temporal resolution data set from the Atmospheric Radiation Measurement (ARM) Program deployment at Pt. Reyes, California, United States, in 2005 to provide statistically robust measures of ACI and to characterize the variability of the measures based on variability in environmental conditions and observational approaches. The average ACIN (= dlnNd/dlna, the change in cloud drop number concentration with aerosol concentration) is 0.48, within a physically plausible range of 0–1.0. Values vary between 0.18 and 0.69 with dependence on (1) the assumption of constant cloud liquid water path (LWP), (2) the relative value of cloud LWP, (3) methods for retrieving Nd, (4) aerosol size distribution, (5) updraft velocity, and (6) the scale and resolution of observations. The sensitivity of the local, diurnally averaged radiative forcing to this variability in ACIN values, assuming an aerosol perturbation of 500 c-3 relative to a background concentration of 100 cm-3, ranges betwee-4 and -9 W -2. Further characterization of ACI and its variability is required to reduce uncertainties in global radiative forcing estimates
Parametric Evolution for a Deformed Cavity
We consider a classically chaotic system that is described by a Hamiltonian
H(Q,P;x), where (Q,P) describes a particle moving inside a cavity, and x
controls a deformation of the boundary. The quantum-eigenstates of the system
are |n(x)>. We describe how the parametric kernel P(n|m) = , also
known as the local density of states, evolves as a function of x-x0. We
illuminate the non-unitary nature of this parametric evolution, the emergence
of non-perturbative features, the final non-universal saturation, and the
limitations of random-wave considerations. The parametric evolution is
demonstrated numerically for two distinct representative deformation processes.Comment: 13 pages, 8 figures, improved introduction, to be published in Phys.
Rev.
Global Diffusion in a Realistic Three-Dimensional Time-Dependent Nonturbulent Fluid Flow
We introduce and study the first model of an experimentally realizable
three-dimensional time-dependent nonturbulent fluid flow to display the
phenomenon of global diffusion of passive-scalar particles at arbitrarily small
values of the nonintegrable perturbation. This type of chaotic advection,
termed {\it resonance-induced diffusion\/}, is generic for a large class of
flows.Comment: 4 pages, uuencoded compressed postscript file, to appear in Phys.
Rev. Lett. Also available on the WWW from http://formentor.uib.es/~julyan/,
or on paper by reques
Screening for Medullary Thyroid Cancer in France: A National Effort
Screening for medullary thyroid cancer (MTC) in France is based on a protocol that has been widely distributed nationally. A network of coordinators utilizing a common questionnaire provides for an effective national screening program. Calcitonin stimulation procedures are systematically used for all first-degree relatives of MTC patients. Pathological studies utilize special immunopathologic techniques. Genealogic information is obtained on all index cases, and blood specimens are collected for establishing permanent cell lines. The data collected are used not only to establish the diagnosis of the hereditary or sporadic form of the disease but also to expand the screening as appropriate. This common protocol has benefited patients and their families by improving early detection of cases, increasing the number of families available for follow-up, and improving the prognosis of this cancer. Studies on these families have contributed significantly to the localization of the multiple endocrine neoplasia type 2 gene
The Bloch-Okounkov correlation functions, a classical half-integral case
Bloch and Okounkov's correlation function on the infinite wedge space has
connections to Gromov-Witten theory, Hilbert schemes, symmetric groups, and
certain character functions of \hgl_\infty-modules of level one. Recent works
have calculated these character functions for higher levels for \hgl_\infty
and its Lie subalgebras of classical type. Here we obtain these functions for
the subalgebra of type of half-integral levels and as a byproduct, obtain
-dimension formulas for integral modules of type at half-integral level.Comment: v2: minor changes to the introduction; accepted for publication in
Letters in Mathematical Physic
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