68,355 research outputs found

    Handling boundary constraints for particle swarm optimization in high-dimensional search space

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    Despite the fact that the popular particle swarm optimizer (PSO) is currently being extensively applied to many real-world problems that often have high-dimensional and complex fitness landscapes, the effects of boundary constraints on PSO have not attracted adequate attention in the literature. However, in accordance with the theoretical analysis in [11], our numerical experiments show that particles tend to fly outside of the boundary in the first few iterations at a very high probability in high-dimensional search spaces. Consequently, the method used to handle boundary violations is critical to the performance of PSO. In this study, we reveal that the widely used random and absorbing bound-handling schemes may paralyze PSO for high-dimensional and complex problems. We also explore in detail the distinct mechanisms responsible for the failures of these two bound-handling schemes. Finally, we suggest that using high-dimensional and complex benchmark functions, such as the composition functions in [19], is a prerequisite to identifying the potential problems in applying PSO to many real-world applications because certain properties of standard benchmark functions make problems inexplicit. © 2011 Elsevier Inc. All rights reserved

    A finite difference solution to a mixed boundary value problem for Laplace's equation

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    Finite difference solution to mixed boundary value problem for Laplace equatio

    On canonical quantization of the gauged WZW model with permutation branes

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    In this paper we perform canonical quantization of the product of the gauged WZW models on a strip with boundary conditions specified by permutation branes. We show that the phase space of the NN-fold product of the gauged WZW model G/HG/H on a strip with boundary conditions given by permutation branes is symplectomorphic to the phase space of the double Chern-Simons theory on a sphere with NN holes times the time-line with GG and HH gauge fields both coupled to two Wilson lines. For the special case of the topological coset G/GG/G we arrive at the conclusion that the phase space of the NN-fold product of the topological coset G/GG/G on a strip with boundary conditions given by permutation branes is symplectomorphic to the phase space of Chern-Simons theory on a Riemann surface of the genus N1N-1 times the time-line with four Wilson lines.Comment: 18 page

    Refining the Spin Hamiltonian in the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu3_{3}(OH)6_{6}Cl2_{2} using Single Crystals

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    We report thermodynamic measurements of the S=1/2 kagome lattice antiferromagnet ZnCu3_{3}(OH)6_{6}Cl2_{2}, a promising candidate system with a spin-liquid ground state. Using single crystal samples, the magnetic susceptibility both perpendicular and parallel to the kagome plane has been measured. A small, temperature-dependent anisotropy has been observed, where χz/χp>1\chi_{z}/ \chi_{p} > 1 at high temperatures and χz/χp<1\chi_{z}/ \chi_{p} < 1 at low temperatures. Fits of the high-temperature data to a Curie-Weiss model also reveal an anisotropy. By comparing with theoretical calculations, the presence of a small easy-axis exchange anisotropy can be deduced as the primary perturbation to the dominant Heisenberg nearest neighbor interaction. These results have great bearing on the interpretation of theoretical calculations based on the kagome Heisenberg antiferromagnet model to the experiments on ZnCu3_{3}(OH)6_{6}Cl2_{2}.Comment: 4 pages, 4 figure

    Finger-gate array quantum pumps:pumping characteristics and mechanisms

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    We study the pumping effects, in both the adiabatic and nonadiabatic regimes, of a pair of \QTR{it}{finite} finger-gate array (FGA) on a narrow channel. Connection between the pumping characteristics and associated mechanisms is established. The pumping potential is generated by ac biasing the FGA pair. For a single pair (N=1) of finger gates (FG's), the pumping mechanism is due to the coherent inelastic scattering of the traversing electron to its subband threshold. For a pair of FGA with pair number N>2N>2, the dominant pumping mechanism becomes that of the time-dependent Bragg reflection. The contribution of the time-dependent Bragg reflection to the pumping is enabled by breaking the symmetry in the electron transmission when the pumping potential is of a predominant propagating type. This propagating wave condition can be achieved both by an appropriate choice of the FGA pair configuration and by the monitoring of a phase difference ϕ\phi between the ac biases in the FGA pair. The robustness of such a pumping mechanism is demonstrated by considering a FGA pair with only pair number N=4.Comment: 7 pages, 6 figure

    Monitoring Costs and the Mode of International Investment

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    contract, vertical integration, opportunism, international investment, China

    Exhaust cloud rise and diffusion in the atmosphere

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    Analytical approach develops physical-mathematical model of rocket engine exhaust cloud rise, growth, and diffusion. Analytic derivations and resultant model apply to hot exhaust cloud study or industrial stack plumes, making work results applicable to air pollution. Model formulations apply to all exhaust cloud types and various atmospheric conditions
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