Large scale atomistic simulations are feasible only with classical effective potentials. Nevertheless, even for classical simulations some ab-initio computations are often necessary, e.g. for the development of potentials or the validation of the results. Ab-initio and classical simulations use rather different algorithms and make different requirements on the computer hardware. We present perf...

Helicity $H$, chirality $C$, and spin angular momentum $\mathbf{S}$ are three physical observables that play an important role in the study of optical fields. These quantities closely related, but their connection is hidden by use four different vector fields for representation, namely, electric magnetic $\mathbf{E}$ $\mathbf{B}$, two transverse potential vectors $\mathbf{C}^\perp$ $\mathbf{A}^...

In this Note, we present several results concerning vector potentials and scalar potentials in a bounded, not necessarily simply-connected, three-dimensional domain. In particular, we consider singular potentials corresponding to data in negative order Sobolev spaces. We also give some applications to Poincaré’s theorem and to Korn’s inequality.

This paper addresses the problem of contextual hyperspectral image (HSI) classification. A novel conditional random fields (CRFs) model, known as higher order support vector random fields (HSVRFs), is proposed for HSI classification. By incorporating higher order potentials into a support vector random fields with a Mahalanobis distance boundary constraint (SVRFMC) model, the HSVRFs model not o...