32,713 research outputs found
Public-private partnerships in China's urban water sector
During the past decades, the traditional state monopoly in urban water management has been debated heavily, resulting in different forms and degrees of private sector involvement across the globe. Since the 1990s, China has also started experiments with new modes of urban water service management and governance in which the private sector is involved. It is premature to conclude whether the various forms of private sector involvement will successfully overcome the major problems (capital shortage, inefficient operation, and service quality) in China¿s water sector. But at the same time, private sector involvement in water provisioning and waste water treatments seems to have become mainstream in transitional China
Exploration of Resonant Continuum and Giant Resonance in the Relativistic Approach
Single-particle resonant-states in the continuum are determined by solving
scattering states of the Dirac equation with proper asymptotic conditions in
the relativistic mean field theory (RMF). The regular and irregular solutions
of the Dirac equation at a large radius where the nuclear potentials vanish are
relativistic Coulomb wave functions, which are calculated numerically.
Energies, widths and wave functions of single-particle resonance states in the
continuum for ^{120}Sn are studied in the RMF with the parameter set of NL3.
The isoscalar giant octupole resonance of ^{120}Sn is investigated in a fully
consistent relativistic random phase approximation. Comparing the results with
including full continuum states and only those single-particle resonances we
find that the contributions from those resonant-states dominate in the nuclear
giant resonant processes.Comment: 16 pages, 2 figure
Fast Low-Rank Matrix Learning with Nonconvex Regularization
Low-rank modeling has a lot of important applications in machine learning,
computer vision and social network analysis. While the matrix rank is often
approximated by the convex nuclear norm, the use of nonconvex low-rank
regularizers has demonstrated better recovery performance. However, the
resultant optimization problem is much more challenging. A very recent
state-of-the-art is based on the proximal gradient algorithm. However, it
requires an expensive full SVD in each proximal step. In this paper, we show
that for many commonly-used nonconvex low-rank regularizers, a cutoff can be
derived to automatically threshold the singular values obtained from the
proximal operator. This allows the use of power method to approximate the SVD
efficiently. Besides, the proximal operator can be reduced to that of a much
smaller matrix projected onto this leading subspace. Convergence, with a rate
of O(1/T) where T is the number of iterations, can be guaranteed. Extensive
experiments are performed on matrix completion and robust principal component
analysis. The proposed method achieves significant speedup over the
state-of-the-art. Moreover, the matrix solution obtained is more accurate and
has a lower rank than that of the traditional nuclear norm regularizer.Comment: Long version of conference paper appeared ICDM 201
Critical Dynamical Exponent of the Two-Dimensional Scalar Model with Local Moves
We study the scalar one-component two-dimensional (2D) model by
computer simulations, with local Metropolis moves. The equilibrium exponents of
this model are well-established, e.g. for the 2D model
and . The model has also been conjectured to belong to the Ising
universality class. However, the value of the critical dynamical exponent
is not settled. In this paper, we obtain for the 2D model using
two independent methods: (a) by calculating the relative terminal exponential
decay time for the correlation function ,
and thereafter fitting the data as , where is the system
size, and (b) by measuring the anomalous diffusion exponent for the order
parameter, viz., the mean-square displacement (MSD) as , and from the numerically
obtained value , we calculate . For different values of the
coupling constant , we report that and
for the two methods respectively. Our results indicate that
is independent of , and is likely identical to that for the 2D
Ising model. Additionally, we demonstrate that the Generalised Langevin
Equation (GLE) formulation with a memory kernel, identical to those applicable
for the Ising model and polymeric systems, consistently capture the observed
anomalous diffusion behavior.Comment: 14 pages, 4 figures, 6 figure files, to appear in Phys. Rev.
Theory of antiferromagnetism in the electron-doped cuprate superconductors
On the basis of the Hubbard model, we present the formulation of
antiferromagnetism in electron-doped cuprates using the fluctuation-exchange
approach. Taking into account the spin fluctuations in combination with the
impurity scattering effect due to the randomly distributed dopant-atoms, we
investigate the magnetic properties of the system. It is shown that the
antiferromagnetic transition temperature, the onset temperature of the
pseudogap formation, the single particle spectral density, and the staggered
magnetization obtained by the present approach are in very good agreement with
the experimental results. The distribution function in momentum space at very
low temperature is observed to differ significantly from that of the Fermi
liquid. Also, we find zero-energy peak in the density of states (DOS) of the
antiferromagnetic phase. This DOS peak is sharp in the low doping regime, and
disappears near the optimal doping where the AF order becomes weak.Comment: 12 pages, 19 figure
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