170,759 research outputs found
Random Isotropic Structures and Possible Glass Transitions in Diblock Copolymer Melts
We study the microstructural glass transitions in diblock-copolymer melts
using a thermodynamic replica approach. Our approach performs an expansion in
terms of the natural smallness parameter -- the inverse of the scaled degree of
polymerization, which allows us to systematically study the approach to
mean-field behavior as the degree of polymerization increases. We find that in
the limit of infinite long polymer chains, both the onset of glassiness and the
vitrification transition (Kauzmann temperature) collapse to the mean-field
spinodal, suggesting that the spinodal can be regarded as the mean-field
signature for glass transitions in this class of systems. We also study the
order-disorder transitions (ODT) within the same theoretical framework; in
particular, we include the leading-order fluctuation corrections due to the
cubic interaction in the coarse-grained Hamiltonian, which has been ignored in
previous works on the ODT in block copolymers. We find that the cubic term
stabilizes both the ordered (body-centered-cubic) phase and the glassy state
relative to the disordered phase. While in melts of symmetric copolymers the
glass transition always occurs after the order-disorder transition (below the
ODT temperature), for asymmetric copolymers, it is possible that the glass
transition precedes the ordering transition.Comment: An error corrected in the referenc
Electron-hydrogen scattering in Faddeev-Merkuriev integral equation approach
Electron-hydrogen scattering is studied in the Faddeev-Merkuriev integral
equation approach. The equations are solved by using the Coulomb-Sturmian
separable expansion technique. We present - and -wave scattering and
reactions cross sections up to the threshold.Comment: 2 eps figure
Learning a Mixture of Deep Networks for Single Image Super-Resolution
Single image super-resolution (SR) is an ill-posed problem which aims to
recover high-resolution (HR) images from their low-resolution (LR)
observations. The crux of this problem lies in learning the complex mapping
between low-resolution patches and the corresponding high-resolution patches.
Prior arts have used either a mixture of simple regression models or a single
non-linear neural network for this propose. This paper proposes the method of
learning a mixture of SR inference modules in a unified framework to tackle
this problem. Specifically, a number of SR inference modules specialized in
different image local patterns are first independently applied on the LR image
to obtain various HR estimates, and the resultant HR estimates are adaptively
aggregated to form the final HR image. By selecting neural networks as the SR
inference module, the whole procedure can be incorporated into a unified
network and be optimized jointly. Extensive experiments are conducted to
investigate the relation between restoration performance and different network
architectures. Compared with other current image SR approaches, our proposed
method achieves state-of-the-arts restoration results on a wide range of images
consistently while allowing more flexible design choices. The source codes are
available in http://www.ifp.illinois.edu/~dingliu2/accv2016
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