Statistical and localization properties of dipole eigenmodes ~plasmons! of fractal and random nonfractal clusters are investigated. The problem is mathematically equivalent to the quantum-mechanical eigenproblem for vector ~spin-1! particles with a dipolar hopping amplitude in the same cluster. In fractal clusters, individual eigenmodes are singular on the small scale and their intensity strong...

H. S. Zhang, Z. Lin, W. Deng, I. Holod, Z. X. Wang, Y. Xiao, and W. L. Zhang Fusion Simulation Center, Peking University, Beijing 100871, China Department of Physics and Astronomy, University of California, Irvine, California 92697, USA Institute for Fusion Theory and Simulation, Zhejiang University, Hangzhou 310027, China CAS Key Laboratory of Plasma Physics, University of Science and Technolo...

We test the scaling properties of a recently proposed improved lattice-fermion action, the fat link clover action, for lattice spacing a = 0.09 and 0.16 fm. The action scales as well as the conventional nonperturbatively improved clover action. Tests done at small quark mass on quenched lattices of lattice spacing 0.12 fm show that it has fewer problems with pathological lattice artifacts (“exc...

We study the estimators of various second-order weak lensing statistics such as the shear correlation functions ξ± and the aperture mass dispersion 〈M 2 ap〉 which can directly be constructed from weak lensing shear maps. We compare the efficiency with which these estimators can be used to constrain cosmological parameters. To this end we introduce the Karhunen-Loève (KL) eigenmode analysis tech...

Recently developed Monte Carlo methods of estimating the dominance ratio (DR) rely on autoregressive (AR) fittings of a computed time series. This time series is obtained by applying a projection vector to the fission source distribution of the problem. The AR fitting order necessary to accurately extract the mode corresponding to DR is dependent on the number of fission source bins used. This ...

A set of Hermitian equations is constructed using a mode description of the dynamic equations of the ocean surface. These equations are sufficiently flexible to include the coupling of the ocean surface to the wind, viscous damping and the effects of surface tension as well as the non-linear interactions between surface waves. The system of equations is exact and from them a system of approxima...

This Letter reports the first experimental demonstration of chaotic excitations through modulational instability for waves with a repulsive nonlinearity. The experiments were carried out for surface spin waves in a magnetic thin film strip in an active feedback ring configuration. At a low ring gain level, one observes the self-generation of one eigenmode. With an increase in the ring gain, one...

A new optical mode of propagation is described, which is the natural eigenmode (supermode) of a fiber (or any optical waveguide) with two cospatial periodic gratings. The mode frustrates the backward Bragg scattering from the grating by destructive interference of its two constituent submodes (which are eigenmodes of a uniform waveguide). It can be used in a new type of spatial mode conversion ...

Plasma zonal-flow excitation and saturation in fluid electron-drift-wave turbulence are studied spectrally. The zonal flow is a spectral condensation onto the zero-frequency linear-wave structure. In the representation diagonalizing the wave coupling that dominates interactions at long wavelengths, nonlinear triad interactions involving zero-frequency waves are greatly enhanced. Zonal modes are...

A decomposition of the numerical solution can be defined by the normal mode representation, that generalizes further the spatial eigenmode decomposition of the von Neumann analysis by taking into account the boundary conditions which are not periodic. In this paper we present some new theoretical results on normal mode analysis for a linear and parabolic initial value problem. Furthermore we su...