10,533 research outputs found
Polymeric compositions and their method of manufacture
Filled polymer compositions are made by dissolving the polymer binder in a suitable sublimable solvent, mixing the filler material with the polymer and its solvent, freezing the resultant mixture, and subliming the frozen solvent from the mixture from which it is then removed. The remaining composition is suitable for conventional processing such as compression molding or extruding. A particular feature of the method of manufacture is pouring the mixed solution slowly in a continuous stream into a cryogenic bath wherein frozen particles of the mixture result. The frozen individual particles are then subjected to the sublimation
Field theory of bi- and tetracritical points: Relaxational dynamics
We calculate the relaxational dynamical critical behavior of systems of
symmetry by renormalization group method within the
minimal subtraction scheme in two loop order. The three different bicritical
static universality classes previously found for such systems correspond to
three different dynamical universality classes within the static borderlines.
The Heisenberg and the biconical fixed point lead to strong dynamic scaling
whereas in the region of stability of the decoupled fixed point weak dynamic
scaling holds. Due to the neighborhood of the stability border between the
strong and the weak scaling dynamic fixed point corresponding to the static
biconical and the decoupled fixed point a very small dynamic transient
exponent, of , is present in the dynamics for the
physically important case and in .Comment: 8 figure
On the approach to equilibrium of an Hamiltonian chain of anharmonic oscillators
In this note we study the approach to equilibrium of a chain of anharmonic
oscillators. We find indications that a sufficiently large system always
relaxes to the usual equilibrium distribution. There is no sign of an
ergodicity threshold. The time however to arrive to equilibrium diverges when
, being the anharmonicity.Comment: 8 pages, 5 figure
Automated Expected Amortised Cost Analysis of Probabilistic Data Structures
In this paper, we present the first fully-automated expected amortised cost
analysis of self-adjusting data structures, that is, of randomised splay trees,
randomised splay heaps and randomised meldable heaps, which so far have only
(semi-) manually been analysed in the literature. Our analysis is stated as a
type-and-effect system for a first-order functional programming language with
support for sampling over discrete distributions, non-deterministic choice and
a ticking operator. The latter allows for the specification of fine-grained
cost models. We state two soundness theorems based on two different -- but
strongly related -- typing rules of ticking, which account differently for the
cost of non-terminating computations. Finally we provide a prototype
implementation able to fully automatically analyse the aforementioned case
studies.Comment: 39 page
Field theory of bicritical and tetracritical points. III. Relaxational dynamics including conservation of magnetization (Model C)
We calculate the relaxational dynamical critical behavior of systems of
symmetry including conservation of magnetization by
renormalization group (RG) theory within the minimal subtraction scheme in two
loop order. Within the stability region of the Heisenberg fixed point and the
biconical fixed point strong dynamical scaling holds with the asymptotic
dynamical critical exponent where is the crossover
exponent and the exponent of the correlation length. The critical
dynamics at and is governed by a small dynamical transient
exponent leading to nonuniversal nonasymptotic dynamical behavior. This may be
seen e.g. in the temperature dependence of the magnetic transport coefficients.Comment: 6 figure
Aluminum arsenide cleaved-edge overgrown quantum wires
We report conductance measurements in quantum wires made of aluminum
arsenide, a heavy-mass, multi-valley one-dimensional (1D) system. Zero-bias
conductance steps are observed as the electron density in the wire is lowered,
with additional steps observable upon applying a finite dc bias. We attribute
these steps to depopulation of successive 1D subbands. The quantum conductance
is substantially reduced with respect to the anticipated value for a spin- and
valley-degenerate 1D system. This reduction is consistent with
disorder-induced, intra-wire backscattering which suppresses the transmission
of 1D modes. Calculations are presented to demonstrate the role of strain in
the 1D states of this cleaved-edge structure.Comment: Submitted to Applied Physics Letter
VLTI/PIONIER images the Achernar disk swell
Context. The mechanism of disk formation around fast-rotating Be stars is not
well understood. In particular, it is not clear which mechanisms operate, in
addition to fast rotation, to produce the observed variable ejection of matter.
The star Achernar is a privileged laboratory to probe these additional
mechanisms because it is close, presents B-Be phase variations on timescales
ranging from 6 yr to 15 yr, a companion star was discovered around it, and
probably presents a polar wind or jet. Aims. Despite all these previous
studies, the disk around Achernar was never directly imaged. Therefore we seek
to produce an image of the photosphere and close environment of the star.
Methods. We used infrared long-baseline interferometry with the PIONIER/VLTI
instrument to produce reconstructed images of the photosphere and close
environment of the star over four years of observations. To study the disk
formation, we compared the observations and reconstructed images to previously
computed models of both the stellar photosphere alone (normal B phase) and the
star presenting a circumstellar disk (Be phase). Results. The observations
taken in 2011 and 2012, during the quiescent phase of Achernar, do not exhibit
a disk at the detection limit of the instrument. In 2014, on the other hand, a
disk was already formed and our reconstructed image reveals an extended H-band
continuum excess flux. Our results from interferometric imaging are also
supported by several H-alpha line profiles showing that Achernar started an
emission-line phase sometime in the beginning of 2013. The analysis of our
reconstructed images shows that the 2014 near-IR flux extends to 1.7 - 2.3
equatorial radii. Our model-independent size estimation of the H-band continuum
contribution is compatible with the presence of a circumstellar disk, which is
in good agreement with predictions from Be-disk models
Donor binding energy and thermally activated persistent photoconductivity in high mobility (001) AlAs quantum wells
A doping series of AlAs (001) quantum wells with Si delta-modulation doping
on both sides reveals different dark and post-illumination saturation
densities, as well as temperature dependent photoconductivity. The lower dark
two-dimensional electron density saturation is explained assuming deep binding
energy of Delta_DK = 65.2 meV for Si-donors in the dark. Persistent
photoconductivity (PPC) is observed upon illumination, with higher saturation
density indicating shallow post-illumination donor binding energy. The
photoconductivity is thermally activated, with 4 K illumination requiring
post-illumination annealing to T = 30 K to saturate the PPC. Dark and
post-illumination doping efficiencies are reported.Comment: The values of binding energy changed from previous versions because
of a better understanding for the dielectric permittivity. Also, the Gamma -
X donor states are better explaine
Strong-coupling behaviour in discrete Kardar-Parisi-Zhang equations
We present a systematic discretization scheme for the Kardar-Parisi-Zhang
(KPZ) equation, which correctly captures the strong-coupling properties of the
continuum model. In particular we show that the scheme contains no finite-time
singularities in contrast to conventional schemes. The implications of these
results to i) previous numerical integration of the KPZ equation, and ii) the
non-trivial diversity of universality classes for discrete models of `KPZ-type'
are examined. The new scheme makes the strong-coupling physics of the KPZ
equation more transparent than the original continuum version and allows the
possibility of building new continuum models which may be easier to analyse in
the strong-coupling regime.Comment: 21 pages, revtex, 2 figures, submitted to J. Phys.
Equilibria of `Discrete' Integrable Systems and Deformations of Classical Orthogonal Polynomials
The Ruijsenaars-Schneider systems are `discrete' version of the
Calogero-Moser (C-M) systems in the sense that the momentum operator p appears
in the Hamiltonians as a polynomial in e^{\pm\beta' p} (\beta' is a deformation
parameter) instead of an ordinary polynomial in p in the hierarchies of C-M
systems. We determine the polynomials describing the equilibrium positions of
the rational and trigonometric Ruijsenaars-Schneider systems based on classical
root systems. These are deformation of the classical orthogonal polynomials,
the Hermite, Laguerre and Jacobi polynomials which describe the equilibrium
positions of the corresponding Calogero and Sutherland systems. The
orthogonality of the original polynomials is inherited by the deformed ones
which satisfy three-term recurrence and certain functional equations. The
latter reduce to the celebrated second order differential equations satisfied
by the classical orthogonal polynomials.Comment: 45 pages. A few typos in section 6 are correcte
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