Abstract Optomechanics deals with the control and applications of mechanical effects light that stems from redistribution photon momenta in scattering. As an example, light-induced levitation infinitesimally small dipolar particle is expected front epsilon-near-zero (ENZ) metamaterials. However, a theoretical understanding these on single-material multi-material larger particles still lacking. ...

We present a model of X-ray emission from rotation-powered pulsars, which in general consist of one nonthermal component, two hard thermal components, and one soft thermal component. The nonthermal X-rays come from synchrotron radiation of eB pairs created in the strong magnetic Ðeld near the neutron star surface by curvature photons emitted by charged particles on their way from the outer gap ...

Several physical systems in condensed matter have been modeled approximating their constituent particles as hard objects. The hard spheres model has been indeed one of the cornerstones of the computational and theoretical description in condensed matter. The next level of description is to consider particles as rigid objects of generic shape, which would enrich the possible phenomenology enormo...

The question of the existence of a structural glass transition in two dimensions is studied using mode coupling theory (MCT). We determine the explicit d dependence of the memory functional of mode coupling for one-component systems. Applied to two dimensions we solve the MCT equations numerically for monodisperse hard disks. A dynamic glass transition is found at a critical packing fraction ph...

We study the relationship between unit-distance representations and the Lovász theta number of graphs, originally established by Lovász. We derive and prove min-max theorems. This framework allows us to derive a weighted version of the hypersphere number of a graph and a related min-max theorem. Then, we connect to sandwich theorems via graph homomorphisms. We present and study a generalization...

Ellipsoids that contain all optimal primal solutions, those that contain all optimal dual slack solutions, and primal– dual ellipsoids are derived. They are independent of the algorithm used and have a smaller size than the Choi–Goldfarb ellipsoids [J. Optim. Theory Appl. 80 (1994) 161–173]. c © 2000 Elsevier Science B.V. All rights reserved.