A new class of matching conditions between the atomistic and continuum regions is presented for the multiscale modeling of crystals. They ensure the accurate passage of large scale information between the atomistic and continuum regions and at the same time minimize the reflection of phonons at the interface. These matching conditions can be made adaptive if we choose appropriate weight functio...

We present results from NLO QCD calculations on the production of jets in ep collisions at HERA in a continuous range of photon virtuality Q. Special attention is given to the collinear singularities from the virtual photon and the resolved virtual photon component of the cross sections. Comparisons with dijet data from H1 are shown and the infrared sensitivity of dijet cross sections is discus...

Given ω ≥ 1, let Z2(ω) be the graph with vertex set Z 2 in which two vertices are joined if they agree in one coordinate and differ by at most ω in the other. (Thus Z2(1) is precisely Z .) Let pc(ω) be the critical probability for site percolation in Z2(ω). Extending recent results of Frieze, Kleinberg, Ravi and Debany, we show that limω→∞ ωpc(ω) = log(3/2). We also prove analogues of this resu...

We consider nanometer-sized fluid annuli (rings) deposited on a solid substrate and ask whether these rings break up into droplets due to the instability of Rayleigh-Plateau-type modified by the presence of the substrate, or collapse to a central drop due to the presence of azimuthal curvature. The analysis is carried out by a combination of atomistic molecular dynamics simulations and a contin...

The subject of research in this paper is RM-ODP, an ISO/ITU-T international standard. We investigate an important challenge that the standard faces, specifically the absence of a satisfactory formalization of its proposed conceptual framework. We report on the definition and implementation of a concrete resolution for this challenge: a single consistent formalization of the RM-ODP conceptual fr...

The Boltzmann transport equation is often used for non-continuum transport when the mean free path of phonons is of the order of device sizes. One particular application involves heat generation in electronic devices. In a highly scaled MOSFET, for example, the majority of the heat is produced in a localized region immediately below the gate on the drain side. The size of this generation region...

I want to offer a new approach to the history of American ethnic intermarriage--to ask new questions and exploit newly available evidence. Intermarriage patterns have always been important in this country, but in present-day America there is a renewed attention to such patterns, for two reasons. First, new waves of immigrants lead observers to ask whether or not the future of American ethnic li...

This paper presents an automated tool for local, conformal refinement of all-hexahedral meshes based on the insertion of multidirectional twist planes into the spatial twist continuum. The refinement process is divided into independent refinement steps. In each step, an inserted twist plane modifies a single sheet or two parallel hex sheets. Six basic templates, chosen and oriented based on the...