568 research outputs found
A new exactly integrable hypergeometric potential for the Schr\"odinger equation
We introduce a new exactly integrable potential for the Schr\"odinger
equation for which the solution of the problem may be expressed in terms of the
Gauss hypergeometric functions. This is a potential step with variable height
and steepness. We present the general solution of the problem, discuss the
transmission of a quantum particle above the barrier, and derive explicit
expressions for the reflection and transmission coefficients
Pre-determining the location of electromigrated gaps by nonlinear optical imaging
In this paper we describe a nonlinear imaging method employed to spatially
map the occurrence of constrictions occurring on an electrically-stressed gold
nanowire. The approach consists at measuring the influence of a tightly focused
ultrafast pulsed laser on the electronic transport in the nanowire. We found
that structural defects distributed along the nanowire are efficient nonlinear
optical sources of radiation and that the differential conductance is
significantly decreased when the laser is incident on such electrically-induced
morphological changes. This imaging technique is applied to pre-determined the
location of the electrical failure before it occurs.Comment: 3 figure
Behaviors of susceptible-infected epidemics on scale-free networks with identical infectivity
In this article, we proposed a susceptible-infected model with identical
infectivity, in which, at every time step, each node can only contact a
constant number of neighbors. We implemented this model on scale-free networks,
and found that the infected population grows in an exponential form with the
time scale proportional to the spreading rate. Further more, by numerical
simulation, we demonstrated that the targeted immunization of the present model
is much less efficient than that of the standard susceptible-infected model.
Finally, we investigated a fast spreading strategy when only local information
is available. Different from the extensively studied path finding strategy, the
strategy preferring small-degree nodes is more efficient than that preferring
large-degree nodes. Our results indicate the existence of an essential
relationship between network traffic and network epidemic on scale-free
networks.Comment: 5 figures and 7 page
Growth of high quality, high density single-walled carbon nanotube forests on copper foils
We demonstrate the growth of high quality single-walled carbon nanotube (SWCNT) forests on commercial Cu foils by cold-wall chemical vapor deposition. Time-of-flight secondary ion mass spectrometry was employed to study the effect of annealing on the catalyst evolution with or without an AlOâ‚“ barrier layer. X-ray photoelectron spectroscopy was used to investigate the chemical states of the catalyst and the barrier layer. SWCNT forests can be reproducibly grown on Cu foils sputter-coated with Al and Fe layers as thin as 6 nm and 0.4 nm, respectively. Al transforms into AlOâ‚“ on exposure to air and during annealing. Most importantly, such a thin AlOâ‚“ barrier layer ensures not only the growth of SWCNTs but also an Ohmic contact between the as grown SWCNTs and the Cu base as measured by a two-point probe station. The as-grown SWCNTs exhibit a bimodal distribution of diameters ranging from 0.6 to 4.5 nm, with two peaks centered at 0.8 nn and 2.6 nm, respectively.This work supported by Honda Research Institute USA Inc. Sugime H. acknowledges a research fellowship from the Japanese Society for the Promotion of Science (JSPS).This is the author accepted manuscript. The final version is available from Elsevier via http://dx.doi.org/10.1016/j.carbon.2015.11.04
SN 2006gy: was it really extra-ordinary?
We present an optical photometric and spectroscopic study of the very
luminous type IIn SN 2006gy for a time period spanning more than one year. In
photometry, a broad, bright (M_R~-21.7) peak characterizes all BVRI light
curves. Afterwards, a rapid luminosity fading is followed by a phase of slow
luminosity decline between day ~170 and ~237. At late phases (>237 days),
because of the large luminosity drop (>3 mag), only upper visibility limits are
obtained in the B, R and I bands. In the near-infrared, two K-band detections
on days 411 and 510 open new issues about dust formation or IR echoes
scenarios. At all epochs the spectra are characterized by the absence of broad
P-Cygni profiles and a multicomponent Halpha profile, which are the typical
signatures of type IIn SNe. After maximum, spectroscopic and photometric
similarities are found between SN 2006gy and bright, interaction-dominated SNe
(e.g. SN 1997cy, SN 1999E and SN 2002ic). This suggests that ejecta-CSM
interaction plays a key role in SN 2006gy about 6 to 8 months after maximum,
sustaining the late-time-light curve. Alternatively, the late luminosity may be
related to the radioactive decay of ~3M_sun of 56Ni. Models of the light curve
in the first 170 days suggest that the progenitor was a compact star (R~6-8
10^(12)cm, M_ej~5-14M_sun), and that the SN ejecta collided with massive
(6-10M_sun), opaque clumps of previously ejected material. These clumps do not
completely obscure the SN photosphere, so that at its peak the luminosity is
due both to the decay of 56Ni and to interaction with CSM. A supermassive star
is not required to explain the observational data, nor is an extra-ordinarily
large explosion energy.Comment: 33 pages, 8 figures. Accepted by ApJ. Paper with high-resolution
figures available at
http://web.oapd.inaf.it/supern/sn2006gy_astroph/agnoletto_2006gy.pd
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