Mimetic discretization methods for the numerical solution of continuum mechanics problems rely on analogs of vector calculus and differential forms identities in their derivation and analysis. Fully mimetic discretizations satisfy discrete analogs of the continuum theory results used to derive energy inequalities. Consequently, continuum arguments carry over and can be used to show that discret...

Abstract. The correlator of vector heavy-quark currents at small q is considered in the large-β0 limit. The leading IR renormalon ambiguity of the sum of the perturbative series is canceled by the UV renormalon ambiguity of the gluon condensate. Asymptotic behaviour of the perturbative series is obtained in a modelindependent way, up to a single unknown normalization factor. Gluon-virtuality di...

We describe a model based in continuum mechanics that reduces the study of a significant class of problems of discrete dislocation dynamics to questions of the modern theory of continuum plasticity. As applications, we explore the questions of the existence of a Peierls stress in a continuum theory, dislocation annihilation, dislocation dissociation, finite-speed-of-propagation effects of elast...

Quantum mechanics and relativity in the continuum imply the well known spin-statistics connection. However for particles hopping on a lattice, there is no such constraint. If a lattice model yields a relativistic field theory in a continuum limit, this constraint must ”emerge” for physical excitations. We discuss a few models where a spin-less fermion hopping on a lattice gives excitations whic...

As a result of surging interest in finding fundamental descriptions for the strength and failure properties of materials, and the exciting prospects of designing materials from their atomic level, an international symposium on Multiscale Modeling was convened in Los Angeles during August 23 25, 2000. In this symposium, 23 speakers with research interests spanning fields as diverse as traditiona...

5-0290 Session: QCD Hard Interactions Event shapes in deep inelastic ep → eX scattering at HERA Abstract Means and differential distributions of event-shape variables have been studied in neutral current deep inelastic scattering using an integrated luminosity of 82.2pb −1 collected with the ZEUS detector at HERA. The kinematic range used was 80 < Q 2 < 20480 GeV 2 and 0.0024 < x < 0.6, where Q...