12,157 research outputs found
Thermodynamic versus Topological Phase Transitions: Cusp in the Kert\'esz Line
We present a study of phase transitions of the Curie--Weiss Potts model at
(inverse) temperature , in presence of an external field . Both
thermodynamic and topological aspects of these transitions are considered. For
the first aspect we complement previous results and give an explicit equation
of the thermodynamic transition line in the -- plane as well as the
magnitude of the jump of the magnetization (for . The signature
of the latter aspect is characterized here by the presence or not of a giant
component in the clusters of a Fortuin--Kasteleyn type representation of the
model. We give the equation of the Kert\'esz line separating (in the
-- plane) the two behaviours. As a result, we get that this line
exhibits, as soon as , a very interesting cusp where it
separates from the thermodynamic transition line
A Way Out of the Quantum Trap
We review Event Enhanced Quantum Theory (EEQT). In Section 1 we address the
question "Is Quantum Theory the Last Word". In particular we respond to some of
recent challenging staments of H.P. Stapp. We also discuss a possible future of
the quantum paradigm - see also Section 5. In Section 2 we give a short sketch
of EEQT. Examples are given in Section 3. Section 3.3 discusses a completely
new phenomenon - chaos and fractal-like phenomena caused by a simultaneous
"measurement" of several non-commuting observables (we include picture of
Barnsley's IFS on unit sphere of a Hilbert space). In Section 4 we answer
"Frequently Asked Questions" concerning EEQT.Comment: Replacement. Corrected affiliation. Latex, one .jpg figure. To appear
in Proc. Conf. Relativistic Quantum Measurements, Napoli 1998, Ed. F.
Petruccion
On the existence of effective potentials in time-dependent density functional theory
We investigate the existence and properties of effective potentials in
time-dependent density functional theory. We outline conditions for a general
solution of the corresponding Sturm-Liouville boundary value problems. We
define the set of potentials and v-representable densities, give a proof of
existence of the effective potentials under certain restrictions, and show the
set of v-representable densities to be independent of the interaction.Comment: 13 page
Biochemical and physiological evaluation of human subjects in a life support systems evaluator
Biochemical and physiological evaluation of human nutritional requirements under simulated aerospace condition
Checkerboard Julia Sets for Rational Maps
In this paper, we consider the family of rational maps \F(z) = z^n +
\frac{\la}{z^d}, where , , and\la \in \bbC. We consider
the case where \la lies in the main cardioid of one of the principal
Mandelbrot sets in these families. We show that the Julia sets of these maps
are always homeomorphic. However, two such maps \F and are conjugate
on these Julia sets only if the parameters at the centers of the given
cardioids satisfy \mu = \nu^{j(d+1)}\la or \mu = \nu^{j(d+1)}\bar{\la}
where j \in \bbZ and is an root of unity. We define a
dynamical invariant, which we call the minimal rotation number. It determines
which of these maps are are conjugate on their Julia sets, and we obtain an
exact count of the number of distinct conjugacy classes of maps drawn from
these main cardioids.Comment: 25 pages, 14 figures; Changes since March 19 version: added nine
figures, fixed one proof, added a section on a group actio
An ultraviolet excess in the superluminous supernova Gaia16apd reveals a powerful central engine
Since the discovery of superluminous supernovae (SLSNe) in the last decade,
it has been known that these events exhibit bluer spectral energy distributions
than other supernova subtypes, with significant output in the ultraviolet.
However, the event Gaia16apd seems to outshine even the other SLSNe at
rest-frame wavelengths below \AA. Yan et al (2016) have recently
presented HST UV spectra and attributed the UV flux to low metallicity and
hence reduced line blanketing. Here we present UV and optical light curves over
a longer baseline in time, revealing a rapid decline at UV wavelengths despite
a typical optical evolution. Combining the published UV spectra with our own
optical data, we demonstrate that Gaia16apd has a much hotter continuum than
virtually any SLSN at maximum light, but it cools rapidly thereafter and is
indistinguishable from the others by -15 days after peak. Comparing
the equivalent widths of UV absorption lines with those of other events, we
show that the excess UV continuum is a result of a more powerful central power
source, rather than a lack of UV absorption relative to other SLSNe or an
additional component from interaction with the surrounding medium. These
findings strongly support the central-engine hypothesis for hydrogen-poor
SLSNe. An explosion ejecting M, where
is the opacity in cmg, and forming a magnetar with spin
period ms, and G (lower than other SLSNe with
comparable rise-times) can consistently explain the light curve evolution and
high temperature at peak. The host metallicity, Z, is
comparable to other SLSNe.Comment: Updated to match accepted version (ApJL
Site Improvements with Stone Columns in Stratified Silty Soils
A case history is presented where stone columns were used as a deep compaction method to increase the liquefaction resistance of stratified silty soils. Standard penetration test (SPT) and cone penetration test (CPT) resistances were used to evaluate the pre-treatment site conditions and post-treatment effects of deep compaction using stone columns. The results of the deep compaction are presented with predicted penetration resistances required to reduce the potential for liquefaction. Limitations of conventional liquefaction analysis in silty soils are discussed with regard to SPT-CPT correlations established for the site, cyclic simple shear tests performed on silts, and corrections to SPT penetration resistances for fines content
Analytic Examples, Measurement Models and Classical Limit of Quantum Backflow
We investigate the backflow effect in elementary quantum mechanics - the
phenomenon in which a state consisting entirely of positive momenta may have
negative current and the probability flows in the opposite direction to the
momentum. We compute the current and flux for states consisting of
superpositions of gaussian wave packets. These are experimentally realizable
but the amount of backflow is small. Inspired by the numerical results of Penz
et al (M.Penz, G.Gr\"ubl, S.Kreidl and P.Wagner, J.Phys. A39, 423 (2006)), we
find two non-trivial wave functions whose current at any time may be computed
analytically and which have periods of significant backflow, in one case with a
backwards flux equal to about 70 percent of the maximum possible backflow, a
dimensionless number , discovered by Bracken and Melloy
(A.J.Bracken and G.F.Melloy, J.Phys. A27, 2197 (1994)). This number has the
unusual property of being independent of (and also of all other
parameters of the model), despite corresponding to an obviously
quantum-mechanical effect, and we shed some light on this surprising property
by considering the classical limit of backflow. We discuss some specific
measurement models in which backflow may be identified in certain measurable
probabilities.Comment: 33 pages, 14 figures. Minor revisions. Published versio
A Hydrogen-Poor Superluminous Supernova with Enhanced Iron-Group Absorption: A New Link Between SLSNe and Broad-Lined Type Ic SNe
We present optical observations of the Type I superluminous supernova
(SLSN-I) SN2017dwh at , which reached
mag at peak. Spectra taken a few days after peak show an unusual and strong
absorption line centered near 3200\AA\ that we identify with Co II, suggesting
a high fraction of synthesized Ni in the ejecta. By month
after peak, SN2017dwh became much redder than other SLSNe-I, instead strongly
resembling broad-lined Type Ic supernovae (Ic-BL SNe) with clear suppression of
the flux redward of \AA, providing further evidence for a large
mass of Fe-group elements. Late-time upper limits indicate a Ni mass of
M, leaving open the possibility that SN2017dwh produced
a Ni mass comparable to SN1998bw ( M). Fitting the
light curve with a combined magnetar and Ni model using ,
we find that the light curve can easily accommodate such masses without
affecting the inferred magnetar parameters. We also find that SN2017dwh
occurred in the least-luminous detected host galaxy to date for a SLSN-I, with
mag and an implied metallicity of .
The spectral properties of SN2017dwh provide new evidence linking SLSNe-I with
Type Ic-BL SNe, and in particular the high Fe-group abundance may be due to
enhanced Ni production or mixing due to asphericity. Finally, we find
that SN2017dwh represents the most extreme end of a correlation between
continuum shape and Co II absorption strength in the near-peak spectra of
SLSNe-I, indicating that Fe-group abundance likely accounts for some of the
variation in their spectral shapes.Comment: 16 pages, 7 figures, Submitted to Ap
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