Current methodologies used for the inference of thin film stress through curvature measurements are strictly restricted to stress and curvature states that are assumed to remain uniform over the entire film/substrate system. By considering a circular thin film/ substrate system subject to nonuniform and nonaxisymmetric temperature distributions, we derive relations between the film stresses and...

When considering perturbations in an open (Ω0 < 1) universe, cosmologists retain only sub-curvature modes (defined as eigenfunctions of the Laplacian whose eigenvalue is less than −1 in units of the curvature scale, in contrast with the super-curvature modes whose eigenvalue is between −1 and 0). Mathematicians have known for almost half a century that all modes must be included to generate the...

Current methodologies used for the inference of thin film stress through curvature measurements are strictly restricted to uniform film stress and system curvature states over the entire system of a single thin film on a substrate. By considering a circular multilayer thin film/substrate system subjected to nonuniform temperature distributions, we derive relations between the stresses in each f...

Capillarity can be used to direct anisotropic colloidal particles to precise locations and to orient them by using interface curvature as an applied field. We show this in experiments in which the shape of the interface is molded by pinning to vertical pillars of different cross-sections. These interfaces present well-defined curvature fields that orient and steer particles along complex trajec...

The transition from a regime dominated by drift instabilities to a regime dominated by pure interchange instabilities is investigated and characterized in the simple magnetized toroidal device TORPEX TORoidal Plasma EXperiment, A. Fasoli et al., Phys. of Plasmas 13, 055906 2006 . The magnetic field lines are helical, with a dominant toroidal component and a smaller vertical component. Instabili...

In many geometry processing applications, the estimation of differential geometric quantities such as curvature or normal vector field is an essential step. In this paper, we investigate a new class of estimators on digital shape boundaries based on Integral Invariants. More precisely, we provide both proofs of multigrid convergence of principal curvature estimators and a complete experimental ...

Humans manipulate objects chiefly within their lower visual field, a consequence of upright posture and the anatomical position of hands and arms.This study tested the hypothesis of enhanced sensitivity to a range of stimuli within the lower visual field. Following current models of hierarchical processing within the ventral steam, discrimination sensitivity was measured for orientation, curvat...

A simple expression for the Gamow factor is obtained using a second-order curvature-corrected tunneling potential. Our results show that it approximates accurately “exact-WKB” transmission coefficient by numerically integrating over region to obtain factor. The average difference in current density respective coefficients about 1.5 %, across range of work functions ? ? [ 3 ? 5.5 ] eV, Fermi ene...

Higher order derivative theories, generally suffer from instabilities, known as Ostrogradsky instabilities. This issue can be resolved by removing any existing degeneracy present in such theories. We consider a model involving at most second derivatives of scalar field non-minimally coupled to curvature terms. Here we perform (3+1) decomposition Lagrangian separate time form the rest. is useful...