52,916 research outputs found
Temperature-dependent ion mixing and diffusion during sputtering of thin films of CrSi_2 on silicon
Measurements of sputtering yields and composition profiles have been carried out using backscattering spectrometry for samples of CrSi_2 on Si irradiated with 200‐keV Xe ions. When the CrSi_2 layer is thinner than the ion range, the sputtering yield ratio of Si to Cr increases from 3.5 for room‐temperature irradiation to 65 at 290 °C. For a thick sample, the corresponding increase is from 2.4 to 4.0. only. These changes are explained in terms of a rise in the Si surface concentration at 290 °C. The driving force for this process seems to be the establishment of stoichiometric CrSi_2 compound. Transport of Si to the surface is by ion mixing in the thin sample and thermal diffusion through the thick layer
Strongly misaligned triple system in SR 24 revealed by ALMA
We report the detection of the 1.3 mm continuum and the molecular emission of the disks of the young triple system SR24 by analyzing ALMA (The Atacama Large Millimeter/Submillimter Array) subarcsecond archival observations. We estimate the mass of the disks (0.025 M ⊙ and 4 × 10‑5 M ⊕ for SR24S and SR24N, respectively) and the dynamical mass of the protostars (1.5 M ⊙ and 1.1 M ⊙). A kinematic model of the SR24S disk to fit its C18O (2-1) emission allows us to develop an observational method to determine the tilt of a rotating and accreting disk. We derive the size, inclination, position angle, and sense of rotation of each disk, finding that they are strongly misaligned (108^circ ) and possibly rotate in opposite directions as seen from Earth, in projection. We compare the ALMA observations with 12CO SMA archival observations, which are more sensitive to extended structures. We find three extended structures and estimate their masses: a molecular bridge joining the disks of the system, a molecular gas reservoir associated with SR24N, and a gas streamer associated with SR24S. Finally, we discuss the possible origin of the misaligned SR24 system, concluding that a closer inspection of the northern gas reservoir is needed to better understand it. Fil: Fernandez Lopez, Manuel. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas. Instituto Argentino de Radioastronomía. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto Argentino de Radioastronomía; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Zapata, L. A.. Universidad Nacional Autónoma de México; MéxicoFil: Gabbasov, R.. Universidad Autónoma del Estado de Hidalgo; Méxic
Spatial birth-and-death processes in random environment
We consider birth-and-death processes of objects (animals) defined in having unit death rates and random birth rates. For animals with
uniformly bounded diameter we establish conditions on the rate distribution
under which the following holds for almost all realizations of the birth rates:
(i) the process is ergodic with at worst power-law time mixing; (ii) the unique
invariant measure has exponential decay of (spatial) correlations; (iii) there
exists a perfect-simulation algorithm for the invariant measure. The results
are obtained by first dominating the process by a backwards oriented
percolation model, and then using a multiscale analysis due to Klein to
establish conditions for the absence of percolation.Comment: 48 page
Optimal detection of changepoints with a linear computational cost
We consider the problem of detecting multiple changepoints in large data
sets. Our focus is on applications where the number of changepoints will
increase as we collect more data: for example in genetics as we analyse larger
regions of the genome, or in finance as we observe time-series over longer
periods. We consider the common approach of detecting changepoints through
minimising a cost function over possible numbers and locations of changepoints.
This includes several established procedures for detecting changing points,
such as penalised likelihood and minimum description length. We introduce a new
method for finding the minimum of such cost functions and hence the optimal
number and location of changepoints that has a computational cost which, under
mild conditions, is linear in the number of observations. This compares
favourably with existing methods for the same problem whose computational cost
can be quadratic or even cubic. In simulation studies we show that our new
method can be orders of magnitude faster than these alternative exact methods.
We also compare with the Binary Segmentation algorithm for identifying
changepoints, showing that the exactness of our approach can lead to
substantial improvements in the accuracy of the inferred segmentation of the
data.Comment: 25 pages, 4 figures, To appear in Journal of the American Statistical
Associatio
Cluster expansion in the canonical ensemble
We consider a system of particles confined in a box \La\subset\R^d
interacting via a tempered and stable pair potential. We prove the validity of
the cluster expansion for the canonical partition function in the high
temperature - low density regime. The convergence is uniform in the volume and
in the thermodynamic limit it reproduces Mayer's virial expansion providing an
alternative and more direct derivation which avoids the deep combinatorial
issues present in the original proof
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