22,385 research outputs found
A novel multi-objective evolutionary algorithm based on space partitioning
To design an e ective multi-objective optimization evolutionary algorithms (MOEA), we need to address the following issues: 1) the sensitivity to the shape of true Pareto front (PF) on decomposition-based MOEAs; 2) the loss of diversity due to paying so much attention to the convergence on domination-based MOEAs; 3) the curse of dimensionality for many-objective optimization problems on grid-based MOEAs. This paper proposes an MOEA based on space partitioning (MOEA-SP) to address the above issues. In MOEA-SP, subspaces, partitioned by a k-dimensional tree (kd-tree), are sorted according to a bi-indicator criterion de ned in this paper. Subspace-oriented and Max-Min selection methods are introduced to increase selection pressure and maintain diversity, respectively. Experimental studies show that MOEA-SP outperforms several compared algorithms on a set of benchmarks
Averaged null energy condition in Loop Quantum Cosmology
Wormhole and time machine are very interesting objects in general relativity.
However, they need exotic matters which are impossible in classical level to
support them. But if we introduce the quantum effects of gravity into the
stress-energy tensor, these peculiar objects can be constructed
self-consistently. Fortunately, loop quantum cosmology (LQC) has the potential
to serve as a bridge connecting the classical theory and quantum gravity.
Therefore it provides a simple way for the study of quantum effect in the
semiclassical case. As is well known, loop quantum cosmology is very successful
to deal with the behavior of early universe. In the early stage, if taken the
quantum effect into consideration, inflation is natural because of the
violation of every kind of local energy conditions. Similar to the inflationary
universe, the violation of the averaged null energy condition is the necessary
condition for the traversable wormholes. In this paper, we investigate the
averaged null energy condition in LQC in the framework of effective
Hamiltonian, and find out that LQC do violate the averaged null energy
condition in the massless scalar field coupled model.Comment: 5 page
Mixing of quasiparticle excitations and gamma-vibrations in transitional nuclei
Evidence of strong coupling of quasiparticle excitations with gamma-vibration
is shown to occur in transitional nuclei. High-spin band structures in
[166,168,170,172]Er are studied by employing the recently developed
multi-quasiparticle triaxial projected shell model approach. It is demonstrated
that a low-lying K=3 band observed in these nuclei, the nature of which has
remained unresolved, originates from the angular-momentum projection of
triaxially deformed two-quasiparticle (qp) configurations. Further, it is
predicted that the structure of this band depends critically on the shell
filling: in [166]Er the lowest K=3 2-qp band is formed from proton
configuration, in [168]Er the K=3 neutron and proton 2-qp bands are almost
degenerate, and for [170]Er and [172]Er the neutron K=3 2-qp band becomes
favored and can cross the gamma-vibrational band at high rotational
frequencies. We consider that these are few examples in even-even nuclei, where
the three basic modes of rotational, vibrational, and quasi-particle
excitations co-exist close to the yrast line.Comment: 7 pages, 6 figure
A Codazzi-like equation and the singular set for smooth surfaces in the Heisenberg group
In this paper, we study the structure of the singular set for a
smooth surface in the -dimensional Heisenberg group . We
discover a Codazzi-like equation for the -area element along the
characteristic curves on the surface. Information obtained from this ordinary
differential equation helps us to analyze the local configuration of the
singular set and the characteristic curves. In particular, we can estimate the
size and obtain the regularity of the singular set. We understand the global
structure of the singular set through a Hopf-type index theorem. We also
justify that Codazzi-like equation by proving a fundamental theorem for local
surfaces in .Comment: 64 pages, 17 figure
Infrared anomalous Hall effect in SrRuO: Evidence for crossover to intrinsic behavior
The origin of the Hall effect in many itinerant ferromagnets is still not
resolved, with an anomalous contribution from the sample magnetization that can
exhibit extrinsic or intrinsic behavior. We report the first mid-infared (MIR)
measurements of the complex Hall (), Faraday (), and Kerr
() angles, as well as the Hall conductivity () in a
SrRuO film in the 115-1400 meV energy range. The magnetic field,
temperature, and frequency dependence of the Hall effect is explored. The MIR
magneto-optical response shows very strong frequency dependence, including sign
changes. Below 200 meV, the MIR changes sign between 120 and 150
K, as is observed in dc Hall measurements. Above 200 meV, the temperature
dependence of is similar to that of the dc magnetization and the
measurements are in good agreement with predictions from a band calculation for
the intrinsic anomalous Hall effect (AHE). The temperature and frequency
dependence of the measured Hall effect suggests that whereas the behavior above
200 meV is consistent with an intrinsic AHE, the extrinsic AHE plays an
important role in the lower energy response.Comment: The resolution of figures is improve
Spin waves in the block checkerboard antiferromagnetic phase
Motivated by the discovery of new family 122 iron-based superconductors, we
present the theoretical results on the ground state phase diagram, spin wave
and dynamic structure factor of the extended Heisenberg model. In
the reasonable physical parameter region of , we fi{}nd the
block checkerboard antiferromagnetic order phase is stable. There are two
acoustic branches and six optical branches spin wave in the block checkerboard
antiferromagnetic phase, which has analytic expression in the high symmetry
points. To compare the further neutron scattering experiments, we discuss the
saddlepoint structure in the magnetic excitation spectrum and calculate the
predicted inelastic neutron scattering pattern based on linear spin wave
theory
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