We present the program MCAnScat which simulates propagation of beams of down-converting phonons in anisotropic cubic and isotropic media containing point mass defects. It is assumed that the excitation the phonon subsystem is low-level. The program produces time-of-flight spectrograms and phonon energy and quasi-momentum focusing patterns for samples having the form of a rectangular parallelepi...

This paper introduces the dimension distribution for a square integrable function f on [0, 1]. The dimension distribution is used to relate several definitions of the effective dimension of a function. Functions of low effective dimension can be easy to integrate numerically. Many commonly considered quadrature test functions are sums or products of univariate functions, and as a result have pa...

We use a combination of conformal and quasi-conformal mappings to engineer isotropic electromagnetic devices that modify the omnidirectional radiation pattern of a point source. For TE waves, the designed devices are also non-magnetic. The flexibility offered by the proposed method is much higher than that achieved with conformal mappings. As a result, it is shown that complex radiation pattern...

Using both numerical and analytical tools we study various features of static, spherically symmetric solutions of the Einstein-Vlasov system. In particular, we investigate the possible shapes of their massenergy density and find that they can be multi-peaked, we give numerical evidence and a partial proof for the conjecture that the Buchdahl inequality sup r>0 2m(r)/r < 8/9, m(r) the quasi-loca...

A constitutive model for the elastic-plastic behavior of plastically compressible orthotropic materials is proposed based on an ellipsoidal yield surface with evolving ellipticity to accommodate non-uniform hardening or softening associated with stressing in different directions. The model incorporates rate-dependence arising from material rate-dependence and micro-inertial effects. The basic i...

The (T, c)-dependent phase diagrams of two gangliosides, GM I and GM I(acetyl), have been explored, in spite of the frequent occurrence of metastable states. In GMT two lamellar, one hexagonal and two cubic (aspects ( 5 and 13) phases were identified, in addition to the isotropic micellar solution. In GMT(acetyl) two of the phases are cubic (aspects 8 and 13), one is the fluid isotropic solutio...

The performance of a state-of-the-art continuum damage mechanics model for interlaminar damage, coupled with a cohesive zone model for delamination is examined for failure prediction of quasi-isotropic open-hole tension laminates. Limitations of continuum representations of intra-ply damage and the effect of mesh orientation on the analysis predictions are discussed. It is shown that accurate p...

Recently, improved quasi-isotropic limits to the diffuse extragalactic high energy neutrino component have been presented by AMANDA (Hill et al., 2006). In this paper, these limits will be discussed with respect to the consequences for various models of hadronic acceleration. Previous results showed that top-down scenarios explaining a possible proton flux above the Greisen-Zatsepin-Kuzmin (GZK...

Let Xn = {x j }j=1 be a set of n points in the d-cube Id := [0, 1]d , and n = {φ j }j=1 a family of n functions on Id . We consider the approximate recovery of functions f on Id from the sampled values f (x1), . . . , f (xn), by the linear sampling algorithm Ln(Xn, n, f ) := ∑nj=1 f (x j )φ j . The error of sampling recovery is measured in the norm of the space Lq(I)-norm or the energy quasi-no...

Tube-wave speed in the presence of a weakly anisotropic formation can be expressed in terms of an effective shear modulus for an equivalent isotropic formation. When combined with expressions for the speeds of the SHand quasi-SV-waves along the borehole axis, a simple inversion procedure can be obtained to determine three of the five elasticities of a transversely isotropic (TI) formation tilte...